Question

The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. The linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. According to the model, for what price is each comb being sold?

StartLayout Enlarged Left-Brace 1st Row y = StartFraction x Over 2 EndFraction 2nd Row y = negative 0.03 (x minus 95) squared + 550
$0.03
$0.50
$0.95
$2.00

Answer 1

Income y = x/2 means revenue per comb = (x/2)/x = 1/2 dollar. So each comb is sold for $0.50.