Question 993930: Find a system of inequalities and sketch a graph for the following information: A merchant is buying two brands of product. Brand A costs $600, brand B costs $ 200, but the merchant can at most spend $ 3600. Brand A weighs 80 lb, brand B weighs 160 lb and each requires 3 ft^3 of space. However, the delivery vehicle can hold at most 1040 lb and at most 24 ft^3 of cargo.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find a system of inequalities and sketch a graph for the following information: A merchant is buying two brands of product. Brand A costs $600, brand B costs $ 200, but the merchant can at most spend $ 3600. Brand A weighs 80 lb, brand B weighs 160 lb and each requires 3 ft^3 of space. However, the delivery vehicle can hold at most 1040 lb and at most 24 ft^3 of cargo.
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Weight Inequality:: 80A + 160B <= 1040 lb
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Volume Inequality:: 3A + 3B <= 24 ft^3
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Value Inequality:: 600A + 200B <= 3600 dollars
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Solve each for "A" and graph the boundary (equality) line for each::
Example::
Weight:: A <= -2B + 13
Volume:: A <= -B + 8
Value:: A <= (-B/3) + 6
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Cheers,
Stan H.
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