Bundle: Finite Mathematics, Loose-leaf Version, 7th + WebAssign Printed Access Card for Waner/Costenoble's Finite Mathematics, 7th Edition, Single-Term
7th Edition
ISBN: 9781337604949
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 4.4, Problem 43E
Wrestling Tournaments City Community College (CCC) plans to host Midtown Military Academy (MMA) for a wrestling tournament. Each school has three wrestlers in the 190-pound weight class: CCC has Pablo, Sal, and Edison, while MMA has Carlos, Marcus, and Noto. Pablo can beat Carlos and Marcus, Marcus can beat Edison and Sal, Noto can beat Edison, while the other combinations will result in an even match. Set up a payoff matrix, and use reduction by dominance to decide which wrestler each team should choose as its champion. Does one school have an advantage over the other?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A tailor makes wool tweed sport coats and wool slacks. He is able to get a shipment of 150 square yards of wool cloth from Scotland each month to make coats and slacks, and he has 200 hours of his own labor to make them each month. A coat requires 3 square yards of wool and 10 hours to make, and a pair of slacks requires 5 square yards of wool and 4 hours to make. The tailor earns ₱50 in profit from each coat he makes and ₱40 from each pair of slacks. He wants to know how many coats and pairs of slacks to produce to maximize profit.
Requirements:
a) Define decision variables and tabulated data
b) Formulate the Integer Linear Programming Model.
A company makes three types of candy and packages them in three assortments. Assortment I contains 4 cherry, 4 lemon, and 12 lime candies, and sells for a profit of
$4.00. Assortment II contains 12 cherry, 4 lemon, and 4 lime candies, and sells for a profit of $3.00. Assortment III contains 8 cherry, 8 lemon, and 8 lime candies, and
sells for a profit of $5.00. They can make 5,000 cherry, 4,000 lemon, and 5,400 lime candies weekly. How many boxes of each type should the company produce each
week in order to maximize its profit (assuming that all boxes produced can be sold)? What is the maximum profit?
Select the correct choice below and fill in any answer boxes within your choice.
O A. The maximum profit is $
when
boxes of assortment I,
boxes of assortment Il and
boxes of assortment III are produced.
O B. There is no way for the company to maximize its profit.
A company makes three types of candy and packages them in three assortments. Assortment I contains 4 cherry, 4
lemon, and 12 lime candies, and sells for a profit of $4.00. Assortment Il contains 12 cherry, 4 lemon, and 4 lime candies,
and sells for a profit of $3.00. Assortment III contains 8 cherry, 8 lemon, and 8 lime candies, and sells for a profit of $5.00.
They can make 4,800 cherry, 4,200 lemon, and 5,600 lime candies weekly. How many boxes of each type should the
company produce each week in order to maximize its profit (assuming that all boxes produced can be sold)? What is the
maximum profit?
when
OA. The maximum profit is $
assortment III are produced.
.
boxes of assortment I,
boxes of assortment II and
boxes of
Chapter 4 Solutions
Bundle: Finite Mathematics, Loose-leaf Version, 7th + WebAssign Printed Access Card for Waner/Costenoble's Finite Mathematics, 7th Edition, Single-Term
Ch. 4.1 - In Exercises 110, find the dimensions of the given...Ch. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - In Exercises 110, find the dimensions of the given...Ch. 4.1 - In Exercises 110, find the dimensions of the given...Ch. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - In Exercises 110, find the dimensions of the given...
Ch. 4.1 - Solve for x,y,z,andw. [HINT: See Example 1.]...Ch. 4.1 - Prob. 12ECh. 4.1 - In Exercises 1320, evaluate the given expression....Ch. 4.1 - Prob. 14ECh. 4.1 - In Exercises 1320, evaluate the given expression....Ch. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - In Exercises 1320, evaluate the given expression....Ch. 4.1 - In Exercises 2128, evaluate the given expression....Ch. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - In Exercises 2128, evaluate the given expression....Ch. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - In Exercises 2128, evaluate the given expression....Ch. 4.1 - Prob. 29ECh. 4.1 - In Exercises 2936, use technology to evaluate the...Ch. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - In Exercises 2936, use technology to evaluate the...Ch. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Inventory The Left Coast Bookstore chain has two...Ch. 4.1 - Inventory The Left Coast Bookstore chain discussed...Ch. 4.1 - Profit Annual revenues and production costs at...Ch. 4.1 - Revenue The following spreadsheet gives annual...Ch. 4.1 - Population Movement In 2000 the U.S. population,...Ch. 4.1 - Population Movement In 1990 the U.S. population,...Ch. 4.1 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.1 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Inventory Microbucks Computer Company makes two...Ch. 4.1 - Inventory Microbucks Computer Company, besides...Ch. 4.1 - Prob. 51ECh. 4.1 - Tourism in the 1990s Referring to the 1998 tourism...Ch. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 4.1 - Prob. 65ECh. 4.1 - Prob. 66ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 2ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 4ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 11ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 19ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Repeat Exercises 29 with A=[0201002000020000].Ch. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Prob. 36ECh. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Prob. 39ECh. 4.2 - In Exercises 3944, calculate (a) P2=PP, (b)...Ch. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - In Exercises 4548, translate the given matrix...Ch. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - In Exercises 4952, translate the given systems of...Ch. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Revenue Karen Sandberg, your competitor in...Ch. 4.2 - Real Estate The following table shows the cost of...Ch. 4.2 - Prob. 56ECh. 4.2 - Prob. 57ECh. 4.2 - Prob. 58ECh. 4.2 - Income Exercises 5962 are based on the following...Ch. 4.2 - Income Exercises 5962 are based on the following...Ch. 4.2 - Income Exercises 5962 are based on the following...Ch. 4.2 - Prob. 62ECh. 4.2 - Prob. 63ECh. 4.2 - Prob. 64ECh. 4.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.2 - Prob. 67ECh. 4.2 - Prob. 68ECh. 4.2 - Prob. 69ECh. 4.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.2 - Prob. 71ECh. 4.2 - Profits Refer back to Exercise 71. It actually...Ch. 4.2 - Tourism in the 1990s The following table gives the...Ch. 4.2 - Prob. 74ECh. 4.2 - Population Movement In 2008 the population of the...Ch. 4.2 - Prob. 76ECh. 4.2 - Give an example of two matrices A and B such that...Ch. 4.2 - Prob. 78ECh. 4.2 - Prob. 79ECh. 4.2 - Prob. 80ECh. 4.2 - Prob. 81ECh. 4.2 - Prob. 82ECh. 4.2 - Prob. 83ECh. 4.2 - Prob. 84ECh. 4.2 - Prob. 85ECh. 4.2 - Prob. 86ECh. 4.3 - In Exercises 16, determine whether or not the...Ch. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - In Exercises 16, determine whether or not the...Ch. 4.3 - In Exercises 16, determine whether or not the...Ch. 4.3 - Prob. 6ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 9ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 11ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 13ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 26ECh. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - Prob. 29ECh. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - Prob. 32ECh. 4.3 - Prob. 33ECh. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - In Exercises 3542, use technology to find the...Ch. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - In Exercises 3542, use technology to find the...Ch. 4.3 - In Exercises 3542, use technology to find the...Ch. 4.3 - Prob. 42ECh. 4.3 - In Exercises 4348, use matrix inversion to solve...Ch. 4.3 - Prob. 44ECh. 4.3 - In Exercises 4348, use matrix inversion to solve...Ch. 4.3 - Prob. 46ECh. 4.3 - Prob. 47ECh. 4.3 - In Exercises 4348, use matrix inversion to solve...Ch. 4.3 - Prob. 49ECh. 4.3 - In Exercises 49 and 50, use matrix inversion to...Ch. 4.3 - Prob. 51ECh. 4.3 - Some of the following exercises are similar or...Ch. 4.3 - Some of the following exercises are similar or...Ch. 4.3 - Some of the following exercises are similar or...Ch. 4.3 - Investing: Inverse ETFs (Exchange Traded Funds)...Ch. 4.3 - Investing: Inverse ETFs (Exchange Traded Funds)...Ch. 4.3 - Investing: Lesser-Known Stocks Exercises 5758 are...Ch. 4.3 - Prob. 58ECh. 4.3 - Population Movement In 2009 the population of the...Ch. 4.3 - Population Movement Assume that the percentages...Ch. 4.3 - Rotations If a point (x,y) in the plane is rotated...Ch. 4.3 - Prob. 62ECh. 4.3 - Prob. 63ECh. 4.3 - Prob. 64ECh. 4.3 - Encryption Matrices are commonly used to encrypt...Ch. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - Prob. 70ECh. 4.3 - Prob. 71ECh. 4.3 - Derive the formula in Exercise 71 using row...Ch. 4.3 - Prob. 73ECh. 4.3 - Prob. 74ECh. 4.3 - Prob. 75ECh. 4.3 - Prob. 76ECh. 4.3 - Prob. 77ECh. 4.3 - Your friend has two square matrices A and B,...Ch. 4.4 - In Exercises 14, calculate the expected payoff of...Ch. 4.4 - In Exercises 14, calculate the expected payoff of...Ch. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - In Exercises 58, either a mixed column or mixed...Ch. 4.4 - In Exercises 58, either a mixed column or mixed...Ch. 4.4 - Prob. 7ECh. 4.4 - In Exercises 58, either a mixed column or mixed...Ch. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - Prob. 12ECh. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - Prob. 14ECh. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - Prob. 19ECh. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 2124, find (a) the optimal mixed row...Ch. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - In Exercises 2532, set up the payoff matrix. Games...Ch. 4.4 - In Exercises 2532, set up the payoff matrix. Games...Ch. 4.4 - In Exercises 2532, set up the payoff matrix. War...Ch. 4.4 - In Exercises 2532, set up the payoff matrix. War...Ch. 4.4 - In Exercises 2532, set up the payoff matrix....Ch. 4.4 - In Exercises 2532, set up the payoff matrix....Ch. 4.4 - In Exercises 2532, set up the payoff matrix....Ch. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - More Retail Discount Wars Your Abercrom B mens...Ch. 4.4 - Factory Location22 A manufacturer of electrical...Ch. 4.4 - Crop Choice23 A farmer has a choice of growing...Ch. 4.4 - Study Techniques Your mathematics test is tomorrow...Ch. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Textbook Writing You are writing a college-level...Ch. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Wrestling Tournaments City Community College (CCC)...Ch. 4.4 - Wrestling Tournaments (Refer to Exercise 43.) One...Ch. 4.4 - The Battle of Rabaul-Lae25 In the Second World...Ch. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Campaign Strategies27 Florida and Ohio are swing...Ch. 4.4 - Campaign Strategies Repeat Exercise 49, this time...Ch. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.5 - Let A be the technology matrix A=[0.20.050.80.01],...Ch. 4.5 - Prob. 2ECh. 4.5 - Each unit of television news requires 0.2 units of...Ch. 4.5 - Production of one unit of cologne requires no...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - Prob. 9ECh. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - Prob. 11ECh. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Let (IA)1=[0.50.100.21.20.10.10.71.6], and assume...Ch. 4.5 - Prob. 16ECh. 4.5 - In Exercises 17 and 18, obtain the technology...Ch. 4.5 - Prob. 18ECh. 4.5 - Campus Food The two campus cafeterias, the Main...Ch. 4.5 - Plagiarism Two student groups at Enormous State...Ch. 4.5 - Communication Equipment Two sectors of the U.S....Ch. 4.5 - Prob. 22ECh. 4.5 - Australia Economy Two sectors of the Australian...Ch. 4.5 - Prob. 24ECh. 4.5 - Mexico Economy Economists generally divide a...Ch. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - Prob. 28ECh. 4.5 - Mexico Economy Economists generally divide a...Ch. 4.5 - Mexico Economy Economists generally divide a...Ch. 4.5 - Exercises 3134 require the use of technology....Ch. 4.5 - Exercises 3134 require the use of technology....Ch. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Can an external demand be met by an economy whose...Ch. 4.5 - Prob. 37ECh. 4.5 - Prob. 38ECh. 4.5 - Prob. 39ECh. 4.5 - Prob. 40ECh. 4.5 - Prob. 41ECh. 4.5 - Prob. 42ECh. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - Prob. 14RECh. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1720, write the given system of...Ch. 4 - In Exercises 1720, write the given system of...Ch. 4 - In Exercises 1720, write the given system of...Ch. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - In Exercises 2124, solve the game with the given...Ch. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - In Exercises 2528, find the production vector X...Ch. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - OHaganBooks.com has two main...Ch. 4 - OHaganBooks.com has two main...Ch. 4 - Prob. 41RECh. 4 - OHaganBooks.com has two main...Ch. 4 - Publisher Marjory Duffin reveals that...Ch. 4 - Publisher Marjory Duffin reveals that...Ch. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Some of the books sold by OHaganBooks.com are...Ch. 4 - Some of the books sold by OHaganBooks.com are...Ch. 4 - Some of the books sold by OHaganBooks.com are...Ch. 4 - Prob. 52RE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Write the system of equations that corresponds to the augmented matrix: [112321214120] .arrow_forwardA tobacco shop blends Cuban, American and Columbian tobaccos into three aromatic house mixtures. A packet of Ruff has 6 ounces Cuban, 4 ounce American, and 14 ounces Columbian; Buff has 3 ounces Cuban, 1 ounce American, and 2 ounces Columbian; Tuff has 4 ounces Cuban, 2 ounces American, and 8 ounces Columbian. If Ruff sells for $8.00, Buff for $10.00 and Tuff for $16.00 per packet and if there are 32 ounces of Cuban, 10 ounces of American, and 72 ounces of Columbian on hand. Find the amount of Ruff, Buff and Tuff that should be blended to maximize profit from the tobacco on hand. Set up to solve this problem by:a) Defining all variables usedb) Stating the objective and listing the objective function.c) Stating ALL the constraints.arrow_forwardA company makes three types of candy and packages them in three assortments. Assortment I contains 4 cherry, 4 lemon, and 12 lime candies, and sells for a profit of $4.00. Assortment Il contains 12 cherry, 4 lemon, and 4 lime candies, and sells for a profit of $3.00. Assortment III contains 8 cherry, 8 lemon, and 8 lime candies, and sells for a profit of $5.00. They can make 5,000 cherry, 4,200 lemon, and 5,800 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit (assuming that all boxes produced can be sold)? What is the maximum profit? Select the correct choice below and fill in any answer boxes within your choice. OA. The maximum profit is $ when boxes of assortment I, B. There is no way for the company to maximize its profit. boxes of assortment II and boxes of assortment III are produced. Karrow_forward
- A small company manufactures a touring bike (T), a mountain bike (M), and a racing bike (R). The touring bike retails at $1000, the mountain bike retails at $700, and the racing bike retails at $1,500. The company has two warehouses, one in Adelaide and one in Mount Gambier. The Adelaide warehouse has a stock of 10 T, 15 M, and 20 R. The Mount Gambier warehouse has a stock of 5 T, 15 M, and 10 R. Let S represent the total number of bikes of each type that the company has in stock. Then S = AW for some matrix A. Write down what the matrix A must be.arrow_forwardA small company manufactures a touring bike (T), a mountain bike (M), and a racing bike (R). The touring bike retails at $1000, the mountain bike retails at $700, and the racing bike retails at $1,500. The company has two warehouses, one in Adelaide and one in Mount Gambier. The Adelaide warehouse has a stock of 10 T, 15 M, and 20 R. The Mount Gambier warehouse has a stock of 5 T, 15 M, and 10 R. (a) Summarise the stock in a matrix W of order 2 x 3 preserving the order T, M, R for the columns, and with Adelaide corresponding 6. to the first row. 1 (b) Let S represent the total number of bikes of each type that the company has in stock. Then S down what the matrix A must be. AW for some matrix A. Writearrow_forwardA company makes three types of candy and packages them in three assortments. Assortment I contains 4 sour, 4 lemon, and 12 lime candies, and sells for P94. Assortment II contains 12 sour, 4 lemon, and 4 lime candies, and sells for P76. Assortment III contains 8 sour, 8 lemon, and 8 lime candies, and sells for P110. Manufacturing costs per piece of candy are P2 for sour, P2.50 for lemon, and P3 for lime. They can make 5,200 sour, 3,800 lemon, and 6,000 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit? What is the maximum profit?arrow_forward
- A small company manufactures a touring bike (T), a mountain bike (M), and a racing bike (R). The touring bike retails at $1000, the mountain bike retails at $700, and the racing bike retails at $1,500. The company has two warehouses, one in Adelaide and one in Mount Gambier. The Adelaide warehouse has a stock of 10 T, 15 M, and 20 R. The Mount Gambier warehouse has a stock of 5 T, 15 M, and 10 R. Write down a vector B such that a matrix product with W will give the retail value of stock V in each warehouse. (e) Use your answer to (d) and matrix multiplication to calculate the retail value of stock V in each warehouse. (f) Use your answers above to write down the formula for a matrix product that gives the total value of all stock Z, and calculate this value using matrix multiplication.arrow_forwardRobyn owns and operates two souvenir shops. At his Sabina Park shop, sweatshirts cost $4500 and T-shirts cost $2000. At his National Arena shop, sweatshirts cost $5000 and T- shirts cost $1500. Today Robyn sold 200 sweatshirts and 250 T-shirts at each shop. Use matrix multiplication to find the total amount in daily sales at each souvenir stand.arrow_forwardDonna De Paul is raising money for the homeless. She discovers that each church group requires 2 hours of letter writing and 1 hour of follow-up, while for each labor union she needs 2 hours of letter writing and 3 hours of follow-up. Donna can raise $125 from each church group and $200 from each union local, and she has a maximum of 20 hours of letter writing and a maximum of 12 hours of follow-up available per month. Determine the most profitable mixture of groups she should contact and the most money she can raise in a month. Let x, be the number of church groups, and let x, be the number of labor unions. What is the objective function? z= x, + x2 (Do not include the $ symbol in your answers.)arrow_forward
- Donna De Paul is raising money for the homeless. She discovers that each church group requires 2 hours of letter writing and 1 hour of follow-up, while for each labor union she needs 2 hours of letter writing and 3 hours of follow-up. Donna can raise $150 from each church group and $250 from each union local, and she has a maximum of 16 hours of letter writing and a maximum of 14 hours of follow-up available per month. Determine the most profitable mixture of groups she should contact and the most money she can raise in a month. Let x₁ be the number of church groups, and let x2 be the number of labor unions. What is the objective function? z = x₁ + x₂ (Do not include the $ symbol in your answers.) Carrow_forwardA small company manufactures a touring bike (T), a mountain bike (M), and a racing bike (R). The touring bike retails at $1000, the mountain bike retails at $700, and the racing bike retails at $1,500. The company has two warehouses, one in Adelaide and one in Mount Gambier. The Adelaide warehouse has a stock of 10 T, 15 M, and 20 R. The Mount Gambier warehouse has a stock of 5 T, 15 M, and 10 R. (a) Summarise the stock in a matrix W of order 2 × 3 preserving the order T, M, R for the columns, and with Adelaide corresponding to the first row. (b) Let S represent the total number of bikes of each type that the company has in stock. Then S = AW for some matrix A. Write down what the matrix A must be. (c) Use matrix multiplication to calculate S. (d) Write down a vector B such that a matrix product with W will give the retail value of stock V in each warehouse. (e) Use your answer to (d) and matrix multiplication to calculate the retail value of stock V in each…arrow_forwardDonna De Paul is raising money for the homeless. She discovers that each church group requires 2 hours of letter writing and 1 hour of follow-up, while for each labor union she needs 2 hours of letter writing and 3 hours of follow-up. Donna can raise $100 from each church group and $250 from each union local, and she has a maximum of 20 hours of letter writing and a maximum of 16 hours of follow-up available per month. Determine the most profitable mixture of groups she should contact and the most money she can raise in a month. Let x₁ be the number of church groups, and let x₂ be the number of labor unions. What is the objective function? z = x₁ + x₂ (Do not include the $ symbol in your answers.)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Finite Math: Markov Chain Example - The Gambler's Ruin; Author: Brandon Foltz;https://www.youtube.com/watch?v=afIhgiHVnj0;License: Standard YouTube License, CC-BY
Introduction: MARKOV PROCESS And MARKOV CHAINS // Short Lecture // Linear Algebra; Author: AfterMath;https://www.youtube.com/watch?v=qK-PUTuUSpw;License: Standard Youtube License
Stochastic process and Markov Chain Model | Transition Probability Matrix (TPM); Author: Dr. Harish Garg;https://www.youtube.com/watch?v=sb4jo4P4ZLI;License: Standard YouTube License, CC-BY