Question

A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type...

A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type trimmer requires 2 hours to make, and the cordless model requires 6 hours. The company has only 600 work hours to use in manufacturing each day, and the packaging department can package only 200 trimmers per day. If the company profits are $40.50 for the cord-type model and $121.50 for the cordless model, how many of each type should the company produce per day to maximize profits?

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Answer #1

Let the number of cord type trimmers be x

Let the number of cordless model be y

Maximize Profit = 40.50x + 121.50y

Constraints:

2x + 6y <= 600 [Total working hours must be less than or equal to 600]

x + y <=200 [Maximum number of packing can be done for 200 models]

Solving this equation, we get the optimal solution as x=0 and y=100

Number of models made of type cord trimmers = 0

Number of cordless trimmers will be 100

Maximize Profit = $12150

Note - Post any doubts/queries in comments section.

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