A company producing a standard line and a deluxe line of dishwashers has the fol

Question

A company producing a standard line and a deluxe line of dishwashers has the following time requirements (in minutes) in departments where either model can be processed.

The standard models contribute $20 each and the deluxe $30 each to profits. Because the Company produces other items that share resources used to make the dishwashers, the Stamping machine is available only 30 minutes per hour, on average. The motor installation Production line has 60 minutes available each hour. There are two lines for wiring, so the time Availability is 90 minutes per hour. Let x = number of standard dishwashers produced per hour y = number of deluxe dishwashers produced per hour Write the formulation for this linear program and then solve. What is the value of the optimal profit [in $]?

Explanation / Answer

Max 20x + 30 y

s.t        3x + 6y <= 30

            10x + 10y <= 60

            10x + 15y <= 90

By solving the linear programming model

we get optimal solution

Max profit = 160;

x = 2, y = 4

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