Revenue Word Problem?

Question

A Sporting Goods Store sells 90 ski jackets in a season fore $200each. Each $10 decrease in the price would result in five more jackets being sold

a) Find the number of jackets sold and selling price to give revenues of $17 600 from sales of ski jackets

B What is the lowest price that would produce revenue of atleast $15 600? how many jackets would be sold at this price

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Answer 1

90x200 = $18,000

i.e. 95x190 = $18,050

     100x180 = $18,000

Equation: R = (200-10x)(90+5x) ... where x = # of decreases

$17,600 = (200-10x)(90+5x) = 18000 + 100x - 50x^2

Solve for x and you'll get the number of decreases and take it from there