6. A computer dealer can sell 12 PCs per week at a price reduction in price he will sell 3 more PCs per week. charge to maximize his profit? How many will he sell of $2000 each. If the computers at that price? He estimates that cost him $1200 each, for every $400 what price should he

Advanced Engineering Mathematics
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ISBN:9780470458365
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**Problem 6:**

A computer dealer can sell 12 PCs per week at a price of $2000 each. He estimates that, for every $400 reduction in price, he will sell 3 more PCs per week. If the computers cost him $1200 each, what price should he charge to maximize his profit? How many will he sell at that price?

(Note: This problem involves finding the optimal price and quantity of PCs to be sold to maximize profit based on given cost and price-demand relationships.)
Transcribed Image Text:**Problem 6:** A computer dealer can sell 12 PCs per week at a price of $2000 each. He estimates that, for every $400 reduction in price, he will sell 3 more PCs per week. If the computers cost him $1200 each, what price should he charge to maximize his profit? How many will he sell at that price? (Note: This problem involves finding the optimal price and quantity of PCs to be sold to maximize profit based on given cost and price-demand relationships.)
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