Question

A company determines its total revenue and total cost functions for producing and selling x items...

A company determines its total revenue and total cost functions for producing and selling x items are given by

R(x)=600x−2x2, andC(x)=200+10x.

If the company produces and sells 2 additional items every day (in other words, dxdt=2), what is the rate of change of profit with respect to time when they've produced and sold 10 items?

Math   Calculus   
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Answer #1

Note: sinc profit = revenue-cost.

So using the given information we calculate profit function and then differentiate with respect to t.

Details explained in the image.

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