Question 304906: To pour a concrete sidewalk takes 2 hours of preparation and 3 hours of finishing. To pour a concrete patio takes 4 hours of preparation and 3 hours of finishing. There are 8 hours available for preparation and 21 hours available for finishing. ABC Concrete Company makes a profit of $450 on a sidewalk and $700 on a patio. How many sidewalks and patios should the company construct to maximize its profit?
Set up a system of inequalities for this problem, identify all variables used, and give the objective function, but do not solve.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! s is the number sidewalks constructed.
p is the number of patios constructed.
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To pour a concrete sidewalk takes 2 hours of preparation and 3 hours of finishing.
To pour a concrete patio takes 4 hours of preparation and 3 hours of finishing. There are 8 hours available for preparation and 21 hours available for finishing.
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Inequalities:
Preparation: 2s + 4p <= 8 hours
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Finishing::: 3s + 3p <= 21 hours
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ABC Concrete Company makes a profit of $450 on a sidewalk and $700 on a patio. How many sidewalks and patios should the company construct to maximize its profit?
Objective Function: Profit = 450s + 700p
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Set up a system of inequalities for this problem, identify all variables used, and give the objective function, but do not solve.
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Cheers,
Stan H.
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