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  3. revenue, cost, and profit. the price–demand equa

Revenue, cost, and profit. The price–demand equation and the cost function for the production of table...

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Basic Math

Revenue, cost, and profit. The price–demandequation and the cost function for the production of table saws aregiven, respectively, by

x=6,000?30pandC(x)=72,000+60xx=6,000?30pandC(x)=72,000+60x

where x is the number of saws that can be sold at aprice of $p per saw and C(x) is thetotal cost (in dollars) of producing x saws.

  • (F) Graph the cost function and the revenue function on the samecoordinate system for 0?x?6,000. Find thebreak-even points, and indicate regions of loss and profit.

  • (G) Find the profit function in terms of x.

  • (H) Find the marginal profit.

  • (I) Find P'(1,500) and P?(3,000) and interpret thesequantities.

  • Please write the answer clear Thank you!!

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