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An office supply company manufactures and sells X permanent markers per year at a price of...

An office supply company manufactures and sells X permanent markers per year at a price of P €/unit. The Price/Demand equation for the markers is: P = 7 − 0.002X. The total cost of manufacturing is: C(X) = 1000 + 2X. Revenues function = R(x)=7X - 0.002X2. Profit function = P(X) = 5X – 0.002X2 - 1000

Government decides to tax the company in 3€ for each marker produced.

1. Write new cost function

2. Write new profit function

3. What level of production and what price should the company charge for the markers to maximize profits with these new conditions?

Math   Calculus   
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