SOLUTION: The profit function for a company is given by the following nonlinear equation P(x) = 4x2 - 200x − 25000 where P is the profit in dollars and x is the number of units sold.

Algebra.Com
Question 1142905: The profit function for a company is given by the following nonlinear equation P(x) = 4x2 - 200x − 25000 where P is the profit in dollars and x is the number of units sold.
3.1.1. Find the profit when 600 units are sold.
3.1.2. Determine the break-even level for this company

Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
3.1.1.  To answer this question, simply substitute  x= 600  into the formula and calculate.



3.1.2.  To answer this question, solve the equation  P(x) = 0,  which is


            4x^2 - 200x - 25000 = 0.


        It is a quadratic equation.


        Simplify it by dividing both sides by 4.


        Then solve it using the quadratic formula or factoring.


Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
-----
3.1.1. Find the profit when 600 units are sold.
-----

Substitute for x=600 and evaluate.


-----
3.1.2. Determine the break-even level for this company.
-----

Solve quadratic equation, substituting P(x)=0.
RELATED QUESTIONS

The total profit function P(x) for a company producing x thousand units is given by... (answered by stanbon)
The profit function for a computer company is given by P(x) = -x^2+20 x - 26 where x is... (answered by ikleyn)
Janie's Crafts produces bracelets. The weekly profit the company receives for selling x... (answered by richard1234)
A company determines that its total profit is given by the function P(x) = - 2x + 358x -... (answered by ikleyn)
The total profit function,​ P(x), for a company producing x thousand units is given by... (answered by ewatrrr,ikleyn)
The total profit function P(x) for a company producing x thousands of pens is given by... (answered by MathLover1,ikleyn)
the profit [in thousand dallors of a company is given by... (answered by josgarithmetic)
The profit P ( in dollars) for a manufacturer of sound systems is given by the quadratic... (answered by ewatrrr)
The profit P ( in dollars) for a manufacturer of sound systems is given by the quadratic... (answered by stanbon)