SOLUTION: For a certain company, the cost for producing x items is 35x+300 and the revenue for selling x items is 75x−0.5x2 Part a: Set up an expression for the profit from producing an

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: For a certain company, the cost for producing x items is 35x+300 and the revenue for selling x items is 75x−0.5x2 Part a: Set up an expression for the profit from producing an      Log On


   

Question 1162281: For a certain company, the cost for producing x items is 35x+300 and the revenue for selling x items is 75x−0.5x2
Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)

Part b: Find two values of x that will create a profit of $50.
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)  The profit is the revenue minus the cost

         P(x) = (75x - 0.5x^2) - (35x + 300) = -0.5x^2 + 40x - 300.


(b)  For it, solve the quadratic equation


         P(x) = 50,  which is  -0.5x^2 + 40x - 300 = 50.

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When a person gets such a problem, it is assumed that he knows how to solve quadratic equations.

If, in opposite, you don't know how to solve them, consult these lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
in this site.