Question: An electronics store sells 30 laptops per week at a price of $500 each. A market survey shows that for every $20 increase, 2 fewer
An electronics store sells 30 laptops per week at a price of $500 each. A market survey shows that for every $20 increase, 2 fewer laptops will be sold. We wish to find how much the store should charge to maximize revenue.Let x be the number of $20 price increases.a) Express the price p of a laptop as a function of x.b) Express the number q of laptops sold per week as a function of x.c) Express the store's weekly revenue R from the laptops as a function of x. Simplify.d) Find R(x).e) Find the value of x for which R is maximum.f) What price should be set to maximize revenue?g) How many laptops will be sold at this price?h) What is the maximum revenue?
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