Manufacturing Costs: The A manufacturer makes three models of microwave ovens: a standard model, a deluxe model, and a super deluxe model. The manufacturer has contracts that require at least 80 standard models, at least 50 deluxe models, and at least 90 super deluxe models each week, and the total of these models must exceed 300 each week. The manufacturing cost is $100 for each standard model, $110 for each deluxe model, and $120 for each super-deluxe model. How many models of each type should be manufactured each week in order to minimize costs? What is the minimum cost?

Variables:

Let S =

Let D =

Let U =

Let C =

Objective Function:

C = Minimize Costs

Constraints:

Minimum standard models

Minimum deluxe models

Minimum super models

Minimum total per week

Non-negative amount of S made

Non-negative amount of D made

Non-negative amount of U made