QUESTION 8 10 points Save Answer You are in charge of material purchasing at a s

Question

QUESTION 8 10 points Save Answer You are in charge of material purchasing at a small online cosmetic goods company. Your company wants to display its products in special boxes in order to attract more consumers. The packaging material vendor produces two types of boxes called X and Y. The vendor has two requirements, number of type Y boxes cannot exceed 70 and at most one-third of the boxes purchased should be type X Each type X box requires 15 minutes production time and weighs 9 pounds. Each type Y box requires 20 minutes production time and weighs 7 pounds. There are 1000 minutes of production time available and the delivery truck has a capacity of 550 pounds Each unit of type X generates a profit of $20 and each Y generates $ 60. Set up a linear program for this problenm

Explanation / Answer

Linear Program is as follows:

Let X and Y represent the number of boxes of each of these types to be produced

Objective: Max 20X + 60Y

s.t.

Y <= 70

X <= (1/3)*(X+Y)

15X + 20Y <= 1000   (1000 minutes of production time)

9X + 7Y <= 550   (550 pounds truck capacity)

X, Y >= 0

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