You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit

Question

You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit, requires six square feet of floor space, and holds eight cubic feet of files. Cabinet Y costs $20 per unit, requires eight square feet of floor space, and holds twelve cubic feet of files. You have been given $140 for this purchase, though you don't have to spend that much. The office has room for no more than 72 square feet of cabinets. How many of which model should you buy, in order to maximize storage volume?

CONSTRAINTS

x > 0

y > 0

10x + 20y < 140

6x + 8y < 72

OPTIMIZATION EQUATION

volume: V = 8x + 12y

FEASIBILITY REGION

QUESTIONS

a)      Name the variable x

b)      Name the variable y

c)      find the four corners of the feasibility region.

d)      which of the above points maximizes the optimization equation?

Explanation / Answer

a) X is number of cabinet X to be purchased.

Y is number of cabiet Y to be purchased.

c) 12,0

0,0

0,7

8,3

8,3 maximizs the optimisation equation

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