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help me A manager must decide on the mix of products to produce for the coming w

ID: 2485685 • Letter: H

Question

help me A manager must decide on the mix of products to produce for the coming week. Product A requires three minutes per unit for molding and two minutes per unit for painting. Product D requires two minutes per unit for molding and four minutes per unit for painting. There will be 400 minutes available for molding. 300 minutes for painting. Both products have profits of $1.00 per unit. What combination of A and B will maximize profit? Show your work using the graphical linear programming solution.

Explanation / Answer

Maximize p = x+y subject to

3x+2Y<=400

2x+4Y<=300

x,y>=0

multiplying first equation by 2 and second by 3

6x+4y<=800

6x+12y<=900

subtracting first eq from second

8y=100 or y = 12.5

putting y value infirst equation we get x = 125