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Question 410793: You are choosing between tow 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 annual membership fee of $40 and you pay 90% of the manufacturer’s recommended listed price. How many dollars of merchandise would you have to purchase in a year to pay the same amount under both plans? What will be the cost of each plan?
I was absent the day of class and basically I was told by a class mate to take both plan A and plan B, set them equal to each other and solve. Also Prove. I do not have the text book, money is short for me now. Please help. A step by step action so I can go about the rest of this homework. Thank you :)!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You are choosing between two 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(x) = 300 + 0.7x where x is cost of purchased products.
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Plan B offers an annual membership fee of $40 and you pay 90% of the cost of purchased products.
B(x) = 40 + 0.90x
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How many dollars of merchandise would you have to purchase in a year to pay the same amount under both plans?
Solve for "x":
300 + 0.70x = 40 + 0.90x
0.20x = 260
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x = $1300
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What will be the cost of each plan?
A(1300) = 300+ 0.7*1300 = $1210
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B(1300) = 40 + 0.9*1300 = $1210
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Cheers,
Stan H.
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