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?