Question

Profit, P, of a business can be found by subtracting cost, c, from total sales, S. Cost can be modeled using the equation C - 100x2 + 500x - 300, while total sales can be modeled using the equation S - 150x2 + 450x + 200. Find the equation that models profit, p. be a Q

Answer 1

the given expression is,

profit P = S - C

where

C = 100x^2 + 500x - 300

and

S = 150x^2 + 450x + 200

now put the values,

P = 150x^2 + 450x + 200 - (100x^2 + 500x - 300)

= 150x^2 + 450x + 200 -100x^2 - 500x +300

= 50X^2 - 50x + 500

thus, the equation of profit is, P = 50x^2 - 50x + 500