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Your company, Cool Stuff Incorporated, makes air conditioners (AC) and fans. Each AC makes $25 profit per unit and each fan makes $15 profit per unit. Each AC needs 3 hours of assembly and 2 hours for painting. Each fan requires 2 hours of assembly and 1 hour of painting. Each week you have 240 hours of assembly and 140 hours of painting available. a. How many ACs and fans should you make to maximize profit

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Answer:

In order to maximize our profit we make 40 AC's and 60 Fan's and the profit earned will be $1900.

Explanation:

This question is from Linear programming and will be solved using its methods.

Let

x = No of Air conditioner

y =  No of fans

we need to maximize our profit

Z= 25x +15y

we have the constraints

3x+2y [tex]\leq[/tex] 240 ( For assembling AC and Fan)

2x + y [tex]\leq[/tex] 140 ( For painting AC and Fan)

x , y [tex]\geq[/tex] 0

We get an intersection at the point (40, 60)

Z = 25x + 15y

   = 25*40 + 15*60

    = 1000 +   900

    Z= $1900

Therefore we need to make 40 AC's and 60 Fan's in order to maximize our profit. The profit from making 40 AC's and 60 Fan's will be $1900.

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