Kool Klothes has determined that the revenue function for selling x thousand pairs of shorts is R(x)=-5x^2 + 21x. The cost function C(x) =2x +10 is the cost of producing the shorts.

Write a profit Fumction
How many pairs of shorts must the company sell in order to break even

1 answer

p = R - C

= 5 x^2 + 19 x - 10

where is that zero?
solve quadratic
x = [ -19 +/- sqrt (361+200) ]/10

= [ -19 +/- 23.7 ]/10

= .469 thousand = 469