PTA would make some cakedoes not have time t0 g0 to the store t0 get ingredients_ and she has only & short time to bakethings in her oven. Because cakes and breads require different baking temperatures; she cannotbake them simultaneously; and she has only hours available to bake A cake requires flour; a.d cupsOf loaf of bread requires 8 cups; Tracy has 20 cups of flour: A cake requires 45 t0 bake, and miulcsloaf of bread requires 30 minutes. The PTA will sell cake for IObread for6. Tracy wants [0 decidehow and loal of many cakes Formulate and loaves Of bread she should make; linear = programmingmodel for this problem; Solve this model by using graphical analysis.%3DProblems1./When Tracy McCoy wakes up Saturday morning, she remembers that she promised the PTAwould make some cakes and/or homemade bread for its bake sale that afternoon. However chedoes not have time to go to the store to get ingredients, and she has only a short time to bakethings in her oven. Because cakes and breads require different baking temperatures, she cannotbake them simultaneously, and she has only 3 hours available to bake. A cake requires 3 cups offlour, and a loaf of bread requires 8 cups; Tracy has 20 cups of flour. A cake requires 45 minutesto bake, and a loaf of bread requires 30 minutes. The PTA will sell a cake for $10 and a loaf ofbread for $6. Tracy wants to decide how many cakes and loaves of bread she should make.a. Formulate a linear programming model for this problem.b. Solve this model by using graphical analysis.

Part (A): Decision Variables: Suppose-x be the no. of cakesy be the no. of loaves of bread

Answered: 1. When Tracy McCoy wakes up Saturday…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 73P

See similar textbooks

Similar questions

Hot Breads, a popular baker in Dhaka makes two types of cakes. To make one dozen ofpremium pound cake requires 3 kilos of flour, 1 kilo sugar, and 1 kilo butter. Making one dozenof our best requires 6 kilos of flour, 0.5 kilo of sugar, and 1 kilo of butter. Hot bread has in itsstock 150 kilograms of flour, 22 kilograms of sugar, and 27.5 kilograms of butter. The premiumcakes sell for 20 taka per dozen and our best sells for 30 taka per dozen. How many dozens ofeach cake Hot Breads should make to maximize revenue?a. Write the information given in the question in a tabular format.b. Write the problem in a linear programming format.c. Indentify the feasible zone.d. Find the revenue maximizing levels of production for scrapers and brushes.e. Is there any excess capacity in any machine?f. Find the amount of excess capacity.
During the next four months, a customer requires,respectively, 500, 650, 1000, and 700 units of acommodity, and no backlogging is allowed (that is,the customer’s requirements must be met on time).Production costs are $50, $80, $40, and $70 per unitduring these months. The storage cost from one monthto the next is $20 per unit (assessed on ending inventory). It is estimated that each unit on hand at the endof month 4 can be sold for $60. Assume there is nobeginning inventory.a. Determine how to minimize the net cost incurred inmeeting the demands for the next four months.b. Use SolverTable to see what happens to the decisionvariables and the total cost when the initial inventoryvaries from 0 to 1000 in 100-unit increments. Howmuch lower would the total cost be if the companystarted with 100 units in inventory, rather than none?Would this same cost decrease occur for every100-unit increase in initial inventory?
Carlo and Anita make mailboxes and toys in their craft shop near Lincoln. Each mailbox requires 1 hour of work from Carlo and 1 hourfrom Anita. Each toy requires 1 hour of work from Carlo and 4 hoursfrom Anita. Carlo cannot work more than 6 hours per week and Anita cannot work more than 12 hours per week. If each mailbox sells for $12 and each toy sells for $23, then how many of each should they make to maximize their revenue? What is their maximum revenue? Carlo and Anita should make, x mailboxes and y toys. Their maximum revenue is:
Angela and Bob Ray keep a large garden in which they grow cabbage, tomatoes, and onions to make two kinds of relishchow-chow and tomato. The chow-chow is made primarily of cabbage, whereas the tomato relish has more tomatoes than chow-chow. Both relishes include onions, and negligible amounts of bell peppers and spices. A jar of chow-chow contains 8 ounces of cabbage, 3 ounces of tomatoes, and 3 ounces of onions, whereas a jar of tomato relish contains 6 ounces of tomatoes, 6 ounces of cabbage, and 2 ounces of onions. The Rays grow 120 pounds of cabbage, 90 pounds of tomatoes, and 45 pounds of onions each summer. The Rays can produce no more than 24 dozen jars of relish. They make $2.25 in profit from a jar of chow-chow and $1.95 in profit from a jar of tomato relish. The Rays want to know how many jars of each kind of relish to produce to generate the most profit. the Rays have checked their sales records for the past five years and have found that they sell at least 50% more…
Don't use chatgpt, I will 5 upvotes Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins, Alan uses 1/3 cup of oil and 2 eggs. For a tray of bran muffins, Alan uses 1/2 cup of oil and 1 egg. Alan has 4 cups of oil and 12 eggs on hand. He sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. Alan wants to maximize the money raised at the bake sale. Let x represent the number of blueberry muffins and y represent the number of bran muffins Alan bakes.
A baker has 150, 90, and 150 units of ingredients A, B, C, respectively. A loaf of bread requires 1, 1, and 2 units of A, B, C, respectively; a cake requires 5, 2, and 1 units of A, B, C, respectively. Find the number of each that should be baked in order to maximize gross income if: A loaf of bread sells for $1.80, and a cake for $3.20.
Kevin runs a factory that makes stereo tuners. Each S100 takes 9 ounces of plastic and 6 ounces of metal. Each G150 requires 3 ounces of plastic and 9 ounces of metal. The factory has 360 ounces of plastic, 702 ounces of metal available, with a maximum of 24 S100 that can be built each week. If each S100 generates $13 in profit, and each G150 generates $8, how many of each of the stereo tuners should Kevin have the factory make each week to make the most profit? S100= G150= Best profit=
Angela and Bob Ray keep a large garden in which they grow cabbage, tomatoes, and onions to make two kinds of relish—chow-chow and tomato. The chow-chow is made primarily of cabbage, whereas the tomato relish has more tomatoes than does the chow-chow. Both relishes include onions, and negligible amounts of bell peppers and spices. A jar of chow-chow contains 8 ounces of cabbage, 3 ounces of tomatoes, and 3 ounces of onions, whereas a jar of tomato relish contains 6 ounces of tomatoes, 6 ounces of cabbage, and 2 ounces of onions. The Rays grow 120 pounds of cabbage, 90 pounds of tomatoes, and 45 pounds of onions each summer. The Rays can produce no more than 24 dozen jars of relish. They make $2.25 in profit from a jar of chow-chow and $1.95 in profit from a jar of tomato relish. The Rays want to know how many jars of each kind of relish to produce to generate the most profit.a. Formulate a linear programming model for this problem. c. Solve this model using simplex solution method.
Angela and Bob Ray keep a large garden in which they grow cabbage, tomatoes, and onions to make two kinds of relish—chow-chow and tomato. The chow-chow is made primarily of cabbage, whereas the tomato relish has more tomatoes than does the chow-chow. Both relishes include onions, and negligible amounts of bell peppers and spices. A jar of chow-chow contains 8 ounces of cabbage, 3 ounces of tomatoes, and 3 ounces of onions, whereas a jar of tomato relish contains 6 ounces of tomatoes, 6 ounces of cabbage, and 2 ounces of onions. The Rays grow 120 pounds of cabbage, 90 pounds of tomatoes, and 45 pounds of onions each summer. The Rays can produce no more than 24 dozen jars of relish. They make $2.25 in profit from a jar of chow-chow and $1.95 in profit from a jar of tomato relish. The Rays want to know how many jars of each kind of relish to produce to generate the most profit.a. Formulate a linear programming model for this problem.b. Solve this model graphically.
To graduate from Basketweavers University with a majorin operations research, a student must complete at least twomath courses, at least two OR courses, and at least twocomputer courses. Some courses can be used to fulfill morethan one requirement: Calculus can fulfill the mathrequirement; operations research, math and OR requirements;data structures, computer and math requirements; businessstatistics, math and OR requirements; computer simulation,OR and computer requirements; introduction to computerprogramming, computer requirement; and forecasting, ORand math requirements.Some courses are prerequisites for others: Calculus is aprerequisite for business statistics; introduction to computerprogramming is a prerequisite for computer simulation andfor data structures; and business statistics is a prerequisitefor forecasting. Formulate an IP that minimizes the numberof courses needed to satisfy the major requirements.
If there is a maximum of 4,000 hours of labor available per month and 300 ping-pong balls (x1) or 125 wiffle balls (x2) can be produced per hour of labor, which of the following constraints reflects this situation? a. 300x1 + 125x2 = 4,000 b. 425(x1 + x2) < 4,000 c. 300x1 + 125x2 > 4,000 d. 300x1 + 125x2 < 4,000
Although the problems say solve graphically, please solve all problems using the QM for Windows software or solve manually. B.6 The Christina Alvarez Company manufactures two lines of designer yard gates, called model A and model B. Every gate requires blending a certain amount of steel and zinc, the company has available a total of 25.000 Ib of steel and 6,000 lb of zinc. Each model A gate requires a mixture of 125 Ib of steel and 20 lb of zinc, and each yields a profit of 590. Each model B gate requires 100 1b of steel and 30 ib of zinc and can be sold for a profit of $70. Find by graphical IP the best production mix of yard gates.

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

SEE MORE TEXTBOOKS