Q6.(A)A candy manufacturer has 130 pounds of chocolate-covered cherries and 170pounds of chocolate-covered mints in stock. He decides to sell them in the form oftwo different mixtures. One mixture will contain half cherries and half mints byweight and will sell for $2.00 per pound. The other mixture will contain one-thirdcherries and two-thirds mints by weight and will sell for $1.25 per pound. How manypounds of each mixture should the candy manufacturer prepare in order tomaximize his sales revenue?let us call A the mixture of half cherries and half mints, and B the mixture which isone-third cherries and two-thirds mints. Let x be the number of pounds of A to beprepared and y the number of pounds of B to be prepared. The revenue function canthen be written as2 - 2x + 1. 25 ySince each pound of A contains one-half pound of cherries and each pound of Bcontains one-third pound of cherries, the total number of pounds of cherries used inboth mixtures isSimilarly, the total number of pounds of mints used in both mixtures is:Now, since the manufacturer can use at most 130 pounds of cherries and 170pounds of mints, we have the constraints:ys 1301.S 170Also, we must have *2 0, y 20. Therefore, the above problem can be formulated as- 2x + 1.25 y subject to the constraints:follows: find x and y that maximize ?S 130-y32=y s 17032.Use the technique of linear programming and find feasible region of the problem andlocate our extreme points.

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Description: Q6.(A)A candy manufacturer has 130 pounds of chocolate-covered cherries and 170pounds of chocolate-covered mints in stock. He decides to sell them in the form oftwo different mixtures. One mixture will contain half cherries and half mints byweight a

The given linear programming problem is: Maximize z=2x+1.25y subject to the…

Math

Advanced Math

Also, we must have *2 0. y20. Therefore, the above problem can be formulated as follows: find x and y that maximize - 2x + 1.25 y subject to the constraints: S 130 3 y S 170 3 y 2 0 Use the technique of linear programming and find feasible region of the problem and locate our extreme points. -inin

Also, we must have *2 0. y20. Therefore, the above problem can be formulated as follows: find x and y that maximize - 2x + 1.25 y subject to the constraints: S 130 3 y S 170 3 y 2 0 Use the technique of linear programming and find feasible region of the problem and locate our extreme points. -inin

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.CM: Cumulative Review Problem Set

Problem 115CM

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