Question

The total cost and the total revenue​ (in dollars) for the production and sale of x...

The total cost and the total revenue​ (in dollars) for the production and sale of x ski jackets are given by  

​C(x)=26x+20,440  

and  

R(x)=200x-.2x^2 for 0

​(A)

Find the value of x where the graph of​ R(x) has a horizontal tangent line.

​(B)

Find the profit function​ P(x).

​(C)

Find the value of x where the graph of​ P(x) has a horizontal tangent line.

​(D)

Graph​ C(x), R(x), and​ P(x) on the same coordinate system for

0less than or equals≤xless than or equals≤1000.

Find the​ break-even points. Find the​ x-intercepts of the graph of​ P(x).

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