The total cost, in dollars, to produce x bins of cat food is given by C=16x + 6120.

Question

The revenue, in dollars, is R= -2x^2+258x

Find the profit. (Recall that profit is revenue minus cost.)

P =

At what quantity is the smallest break-even point? In other words, how many bins of cat food, x, must be produced and sold to make the profit equal to zero?



Answer 1

60.5 is max profit out put level

85 and 36 are the break even points equidistant to the profit max output level

lowest break even output level is x = 36

R-C = 0

plug in the values

you get a quadratic.

use the quadratic formula

that comes down to 121/2 + or - 49/2 or 85 or 36