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The profit (in dollars) from the sale of x lawn mowers is P(x)=80x0.08x2450. (A) Find the average profit per mower if 30 mowers are produced.(B)

The profit (in dollars) from the sale of x lawn mowers is

P(x)=80x0.08x2450.

(A) Find the average profit per mower if

30

mowers are produced.(B) Find the marginal average profit at a production level of

30

mowers, and interpret the results.(C) Use the results from parts (A) and (B) to estimate the average profit per mower if

31

mowers are produced.

image text in transcribed
The prot (in dollars) from the sale of x lawn mowers is P(x) = 80x 0.0t3x2 - 450. (A) Find the average prot per mower if 30 mowers are produced. (B) Find the marginal average prot at a production level of 30 mowers, and interpret the results. (C) Use the results from parts (A) and (B) to estimate the average prot per mower if 31 mowers are produced. <:> (A) If 30 mowers are produced, the average prot per mower is $|:|. (Round to the nearest cent as needed.) (B) The marginal average prot at a production level of 30 units is $|:| per mower. (Round to the nearest cent as needed.) Choose the correct interpretation of R'(30) = $0.42 per mower. O A. At a production level of 30 mowers the average prot is increasing at a rate of $0.42 per mower. O B. At a production level of 30 mowers the average prot is $0.42 per mower. O C. At a production level of 30 mowers a unit increase in production will increase the total prot by $0.42 per mower. (C) Using parts (A) and (B), the estimate of the average prot per mower if 31 mowers are produced is $D. (Round to the nearest cent as needed.)

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