Question 108481: a stereo manufacture makes 3 types of streos: standard y1, quality y2 and deluxe y3. his profit margin from each is 15, 20 and 24 repectively. the standard model requires 3 hours for wiring and 1 hour for encasing. the quality model requires 1 hour for wiring and 5 hours for encasing. the deluxe model requires 3 hours for wiring and 2 hours for encasing. if 120 hours are available for wiring an 60 hours for encasing , express the output mix that will maximize profits as equations and inequalities
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a stereo manufacture makes 3 types of streos:
standard y1, quality y2 and deluxe y3.
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his profit margin from each is 15, 20 and 24 repectively.
the standard model requires 3 hours for wiring and 1 hour for encasing.
the quality model requires 1 hour for wiring and 5 hours for encasing.
the deluxe model requires 3 hours for wiring and 2 hours for encasing.
if 120 hours are available for wiring and 60 hours for encasing ,
express the output mix that will maximize profits as equations and inequalities
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Wiring Eq: 3y1 + y2 + 3y3 <= 120
Encase Eq: y1 + 5y2+ 2y3 <= 60
Profit Eq: Profit = 15y1 +20y2 +24y3
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Comment: You would need a 3rd equation to solve for y1,y2,y3
The profit equation is the object function and can only be
used to find the max or the min of profit.
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Cheers,
Stan H.
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