Problem: Sportsman, inc. is making two types of bats. Sportsman has 40 hours of cutting, 10 hours of finishing and 42 hours of packaging time available. Expected profits from regular and upgrade bats are $15 and $20 respectively.
Technical information is provided as follows
Type Cutting Finishing Packaging
Upgrade 0.80 0.00 1.20
Regular 1.00 0.40 0.60
Q1. Construct a linear programming model for Sportsman
Q2. Identify the feasible area
Q3. Identify optimum quantities, using substitution approach