SOLUTION: Suppose that for a certain​ company, ​C(x)equals15xplus2200 represents the total cost​ function, and ​R(x)=40x represents the total revenue function. ​(a) Find the​ t

Algebra ->  Linear-equations -> SOLUTION: Suppose that for a certain​ company, ​C(x)equals15xplus2200 represents the total cost​ function, and ​R(x)=40x represents the total revenue function. ​(a) Find the​ t      Log On


   

Question 1142156: Suppose that for a certain​ company, ​C(x)equals15xplus2200 represents the total cost​ function, and ​R(x)=40x represents the total revenue function.
​(a) Find the​ total-profit function
​(b) Find the​ break-even point.
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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(a)  the total profit function is  


         P(x) = R(x) - C(x) = 40x - (15x + 2200).



(b)  The break-even point is the solution of the equation


        R(x) = C(x),   or


        40x = 15x + 2200,

        40x - 15x = 2200

        25x       = 2200

          x       = 2200/25 = 88.      ANSWER