Questions:
Profit equation, Systems of inequalities, Applicable corner points, Maximize profit
1. A company makes two soft drinks A and B. Each liter of A requires 4 hours processing and 4 hours distillation while each liter of B requires 5 hours processing and 3 hours distillation. The capacity of the factory is limited to 160 hours processing time and 120 hours distillation time. Profits from product A are $7 and from product B is $8.
a) Determine the profit equation.
b) Determine the system of inequalities (constraints).
c) Graph the feasible region.
d) Identify all applicable corner points. If the company can sell the entire product they can produce, how many of each type should it make in order to maximize profit?