Question

A company producing cups and a bowls has the following resources in departments where either product...

A company producing cups and a bowls has the following resources in departments where either product can be processed.

Cup Bowl
Clay (lb) 15 26
Operators 5 7
Hours per Worker 2 3


The cup contribute $20 each and the bowl $30 each to profits. Because the company produces other items that share resources used to make them, the amount of clay is available only 250 lb. The number of operators for these two products are 15 people. The total hours for working in the company is 45 hours.

a) Explain the decision variable and the objective function for your model.

b) Develop the linear programming for your model by writing the objective function and the constraints.

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