The following linear programming problem maximizes profits by producing two products.

Z1 = number of units of product 1 produced in each batch

Z2 = number of units of product 2 produced in each batch

Maximize: 1750 Z1 + 2100 Z2

Subject to: 2 Z1 + 5 Z2 200 (Resource 1)

3 Z1 + 7 Z2 175 (Resource 2)

4 Z1 + 5 Z2 275 (Resource 3)

Z1, Z2 0

a. How many units of resource 1 are consumed by each unit of product 1 produced?

b. What is the maximum number of product 2 that can be produced?

c. How much profit is earned per unit of product 2 produced?