Break Even Point

Question

R(x)=200x-x^2

C(x) 35x+5750

0≤x≤100

find the number of units you must produce to break even

Answer 1

set R = C and solve for x

200x -x^2 = 35x +5750

x^2 - 165x + 5750 = 0

factor, complete the square or use the quadratic formula

or graph it and find the x intercepts

(x-50)(x-115) = 0

set each factor = 0 and solve for x

x = 50 or 115 = the two breakeven points