State College Parts produces two types of saw table stabilizers for at home cust

Question

State College Parts produces two types of saw table stabilizers for at home customers. The production process requires milling and turning. Each type 1 part requires 6 minutes of milling and 4 minutes of turning. Each type 2 part requires 4 minutes of milling and 8 minutes of turning. There are 36 hours of milling time and 40 hours of turning time available. Type 1 parts generate $30 of profit and type 2 parts generate $40 of profit. Demand for type 2 parts is limited so at most 800 will be produced. Formulate an LP model for this problem that maximizes the total profit.

Please list all of the constraints, decision variables, and the entire objective function.

YOU DO NOT NEED TO SOLVE, JUST THE FORMULATE THE FUNCTION AND OTHER INFO

Explanation / Answer

Let the types of saw table stabilizers are = A and B

Therefore,

A, B > = 0

Objective function :

Since the objective is profit maximization , and two types generate unit profits of $30 and $40, the objective function will be :

Maximize ( 30A+ 40.B)

Constraints :

B <= 800

Therefore,

6.A + 4.B < = 2160

Therefore,

4A + 8.B < = 2400

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