Operations Management

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