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

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(52852) (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.

-----------

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.

RELATED QUESTIONS
For a certain company, the cost for producing x items is 35x+300 and the revenue for... (answered by math_tutor2020)

For a certain company, the cost for producing x items is 45x+300 and the revenue... (answered by mananth)

For a certain company, the cost function for producing x items is C(x)=50x+100 and the... (answered by ikleyn)

For a certain company, the cost for producing x items is 45x+300 and the revenue for... (answered by ikleyn)

For a certain company, the cost function for producing x items is C(x)=50x+200 and the... (answered by ikleyn,MathLover1)

The total cost (in dollars) for a company to produce X items per week is C equals 70 X... (answered by greenestamps)

For a certain company, the cost function for producing x items is C(x)=30x+200 and the... (answered by ikleyn)

the total cost (in dollars) for a company to produce x items per week is C=7x+400. the... (answered by ikleyn)

im sory didnt realize i didnt include the actual function here it is. For a certain... (answered by Boreal)