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Homework ISOM 201 Optimization #1

Rosie’s footwear manufactures both boots and shoes. Rosie is trying to decide how many shoes and boots to make. Rosie makes a profit of \$5 for a pair of shoes and \$8 for a pair of boots. It takes 2 labor hours to make a pair of shoes and 4 labor hours to make a pair of boots. The available labor hours are 100. The equipment used to create the footwear is only available for 80 hours. It takes 1 ½ hours to make a pair of shoes and 2 hours for boots.

List the variables in the question

Formulate the objective function

Formulate the constraints

A manufacturer produces desks and chairs. The manufacturer would like to determine the amount of desks and chairs to produce to reduce costs.

 Desks Chairs Available Cost \$15 \$4 Constraints Wood 10 3 100 Labor 3 2 80 Min # of Desks needed 5

List the variables in the question

Formulate the objective function

Formulate the constraints

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