Construct a linear programming model for sportsman


Question: 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

1) Construct a linear programming model for Sportsman

2) Identify the feasible area

3) Identify optimum quantities, using substitution approach

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