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 ->  Functions -> 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.       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
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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) About Me  (Show Source):
You can put this solution on YOUR website!
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3.1.1. Find the profit when 600 units are sold.
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Substitute for x=600 and evaluate.


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3.1.2. Determine the break-even level for this company.
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Solve quadratic equation, substituting P(x)=0.