Business College

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

Answers

Answer 1

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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