Find what is the total cost

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Reference no: EM13123578

Maximizing Purchases & Minimizing Costs

You need to purchase a combination of three items, item x ($50 ea), item y ($150 ea), and item z ($100 ea). The purchased collection of items must meet the following constraint

5x + 5y + 5z >= 2,500

5x + 10y + 15z >= 3,500

3x - y + 3z <= 0

x, y, and z >=0

(a) How many of each should you purchase to minimize the total cost?

(b) What is the total cost?

(c) What is the sensitivity of this outcome to cost?

Reference no: EM13123578

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