# "When a shoe costs $80.00, there are 300 sales. Every ahiahysel 2022-03-04 Answered "When a shoe costs$80.00, there are 300 sales. Every $5.00 increase in price will result in 10 fewer sales. Find the price that will maximize income." You can still ask an expert for help Expert Community at Your Service • Live experts 24/7 • Questions are typically answered in as fast as 30 minutes • Personalized clear answers Solve your problem for the price of one coffee • Available 24/7 • Math expert for every subject • Pay only if we can solve it ## Expert Answer zahrkao8vm Answered 2022-03-05 Author has 10 answers x is not the price increase,$5 is the price increase.
x is just the number of price increases (like, say, number of five-dollar bills customer would have to pay extra) and also the corresponding number of sales decreases (each decrease is 10 sales).
One price increase brings one sales decrease, so: $y=\left(80+5\cdot 1\right)\left(300-10\cdot 1\right).$
Two price increases bring two sales decreases:
$y=\left(80+5\cdot 2\right)\left(300-10\cdot 2\right).$