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

Revenue, cost, and profit. The price–demand equation and the cost function for the production of table saws are given, 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 a price of $p per saw and C(x) is the total cost (in dollars) of producing x saws.

  • (F) Graph the cost function and the revenue function on the same coordinate system for 0≤x≤6,000. Find the break-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 these quantities.

  • Please write the answer clear Thank you!!

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