Question: Question 3. (20 points) Robin Tires, Inc. makes two types of tires, for SUVs and Hatchbacks. The firm has 500 hours of production time, 250

Question 3. (20 points) Robin Tires, Inc. makes two types of tires, for SUVs and Hatchbacks. The firm has 500 hours of production time, 250 hours of packaging, and 150 hours available for shipping. The production time required per tire type is given in the following table:

Question 3. (20 points) Robin Tires, Inc. makes

Develop a linear programming model (define the components; variables, objective function, constraints, and sign constraints) that determines the production quantities for the two types of tires that maximizes the total profit contribution. Decision variables should be clearly defined. You just need to set up the model. Do not solve the model.

Type SUV Tires Hatchback Tires Production Hours Production Packaging Shipping Profit/Tire 2 1.5 1 1.5 1 0.5 $12 $22

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