The Graphical Method

A manufacturer produces two models of mountain bikes. Model A requires 5 hours of assembly time and 2 hours of painting time, and Model B requires 4 hours of assembly time and 3 hours of painting time. The maximum total weekly hours available in the assembly department and the painting department are 200 hours and 108 hours, respectively. The profits per unit are $25 for Model A and $15 for Model B. How many of each type should be produced to maximize profit?

bikes of Model A

bikes of Model B

What is the maximum profit? $

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  1. http://www.wolframalpha.com/widget/widgetPopup.jsp?p=v&id=1e692c6f72587b2cbd3e7be018fd8960&title=Linear%20Programming%20Calculator&theme=blue

    try that while I look at your problem

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  2. I get 40 of A, 0 of B
    for profit = 1000

    maximize
    25 x + 15 y
    constraints
    5x+4y<=300
    2x+3y<=108
    x>=0
    y>=0
    x+y>=1 (phony to fill fields)

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  3. Appericate it !

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