SOLUTION: You are choosing between 2 plans at a discount warehouse. Plan A offers an annual membership fee of $300 and you pay 70% of the manufacturer's recommended list price. Plan B offe

Question 188387: You are choosing between 2 plans at a discount warehouse. Plan A offers an annual membership fee of $300 and you pay 70% of the manufacturer's recommended list price. Plan B offers an anual membership fee of $40 and you pay 90% of the manufacturer's recommended list price. How many dollars of merchandise would have to purchase in a year to pay the same amount under both plans? What will be the cost for each plan?
Appreciate any help you can give me. Thanks
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You are choosing between 2 plans at a discount warehouse.
Plan A offers an annual membership fee of $300 and you pay 70% of the manufacturer's recommended list price.
A(p) = 300 + 0.70p
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Plan B offers an annual membership fee of $40 and you pay 90% of the manufacturer's recommended list price.
B(p) = 40 + 0.90p
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How many dollars of merchandise would have to purchase in a year to pay the same amount under both plans? What will be the cost for each plan?
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Equation:
300 + 0.7p = 40 + 0.9p
260 = 0.2p
p = $1300
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Cheers,
Stan H.
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