minimum cost of 30 coolers

Question

The cost, C, of producing  Totally Cool Coolers is modeled by the equation

c=0.005x^2-0.3x+11

The cost is at a minimum after 30Correct coolers are produced and sold. What is the cost? (Round answer to the nearest cent.)

Answer 1

Hello, Jeslyn,

Place "30" where "x" appears in the equation and solve:

c=0.005x^2-0.3x+11

c=0.005(30)²-0.3(30)x+11

c = $6.50/Totally Cool Cooler

Bob