A candy manufacturer has 130 pounds of chocolate-covered chenies and 170 pounds ofchocolate-covered mints in stock. He decides to sell them in the form of two differentmixtures. One mixture will contain half cheries and half mints by weight and will sell for$2.00 per pound. The other mixture will contain one-third cheries and two-thirds mints byweight and will sell for $1.25 per pound. How many pounds of each mixture should thecandy manufacturer prepare in order to maximize his sales revenue?let us call A the mixture of half cheies and half mints, and B the mixture which is one-third chenries and two-thirds mints. Let x be the number of pounds of A to be prepared and ythe number of pounds of B to be prepared. The revenue function can then be written as: = 2x + 1.25 ySince each pound of A contains one-half pound of chenies and each pound of B containsone-third pound of chenries, the total number of pounds of chenies used in both mixtures is1x +1Similarly, the total number of pounds of mints used in both mixtures is:1Now, since the manufacturer can use at most 130 pounds of chenies and 170 pounds ofmints, we have the constraints:-y< 1301< 170++ Also, we must have *20, y 20. Therefore, the above problem can be formulated as= 2x + 1.25y subject to the constraints:follows: find x and y that maximize1< 130-y3< 1702 0y 2 0Use the technique of linear programming and find feasible region of the problem and locateour extreme points.Q 6.(B)Make a linear programming graph from the following LP model and find out the mostprofitable solution.Maximize CM = $25A + $40BSubject to: 2A + 4B < 100 hours3A + 2B < 90A2 0, B20

Name: A candy manufacturer has 130 pounds of chocolate-covered chenies and
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: A candy manufacturer has 130 pounds of chocolate-covered chenies and 170 pounds ofchocolate-covered mints in stock. He decides to sell them in the form of two differentmixtures. One mixture will contain half cheries and half mints by weight and will

# we are entitled to solve one question at a time, please resubmit the other question which you wish…

Math

Advanced Math

Also, we must have *20. y20. Therefore, the above problem can be fomulated as follows: find x and y that maximize - = 2x + 1.25y subject to the constraints: y < 130 -x 3* 2 y < 170 2 0 y 2 0 +

Also, we must have 20. y20. Therefore, the above problem can be fomulated as follows: find x and y that maximize - = 2x + 1.25y subject to the constraints: y < 130 -x 3 2 y < 170 2 0 y 2 0 +

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....

See similar textbooks

Similar questions

Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one could purchase all three cars for a total of $140,000. This year, due to inflation, the same cars would cost $151,830. The cost of the BMW increased by 8%, the Jeep by 5%, and the Toyota by 12%. If the price of last year's Jeep was $7,000 less than the price of last year's BMW, what was the price of each of the three cars last year?
An animal shelter has a total of 350 animals comprised of cats, dogs, and rabbits. If the number of rabbits is 5 less than one-half the number of cats, and there are 20 more cats than dogs, how many of each animal are at the shelter?
The community college fine arts department sold three kinds of tickets to its latest dance presentation. The adult tickets sold for $20, the student tickets for $12 and the child tickets for $10.The fine arts department was thrilled to have sold 350 tickets and brought in $4,650 in one night. The number of child tickets sold is the same as the number of adult tickets sold. How many of each type did the department sell?
A custom-blend bird seed is made by mixing two types of bird seeds costing $0.75 per pound and $1.25 per pound. How many pounds of each type of seed mixture are used to make 200 pounds of custom-blend bird seed costing $0.95 per pound?
A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums. Each small arrangement contains one rose, three daisies, and three chrysanthemums. Each medium arrangement contains two roses, four daisies, and six chrysanthemums. Each large arrangement contains four roses, eight daisies, and six chrysanthemums. One day, the florist noted that she used a total of 24 roses, 50 daisies, and 48 chrysanthemums in filling orders for these three types of arrangements. How many arrangements of each type did she make?