Final Answer:
The approximate cost of producing 501 charcoal grills is $22,500.
Step-by-step explanation:
The given function for the total profit from the sale of x charcoal grills is:
P(x) = 90x - 0.8x^2 - 245
To find the approximate cost of producing 501 charcoal grills, we need to calculate the total cost of producing 501 grills. We can do this by subtracting the profit from the revenue generated by selling the grills.
Revenue generated by selling 501 grills = 90 * 501 = $45,090
Profit from selling 501 grills = P(501) = 90(501) - 0.8(501)^2 - 245 = $22,590
Total cost of producing 501 grills = Revenue - Profit = $45,090 - $22,590 = $22,500
Therefore, the approximate cost of producing 501 charcoal grills is $22,500.
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Complete Question
The Total Profit (In Dollars) From The Sale Of X Charcoal Grills Is P(X)=90x−0.8x2−245. What is the approximate cost of producing 501 grills?
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