Mathematics: Let C ( q ) represent the cost and R ( q ) represent the revenue, in dollars, of producing q items. Suppose C ( 100 ) = 4000 and R ( 100 ) = 5500. If C ′ ( 100 ) = 20 and R ′ ( 100 ) = 24, approximately how much profit is earned by producing 101 items?

Let C ( q ) represent the cost and R ( q ) represent

nadine3782

21.01.2022

$1,504

Step-by-step explanation:

The marginal profit for producing the 100th unit is given by:

$P' = R'(100) - C'(100)=24-20\\P'=\$4$

Therefore, it is fair to assume that the 101st unit will produce an additional $4 profit.

The profit for producing the first 100 units is given by:

$P(100) = R(100)-C(100)\\P(100) = 5,500-4,000\\P(100) =\$1,500$

Finally, the approximate profit for producing 101 items is:

$P(101) = P(100)+P'(100) = 1,500+4\\P(101) = \$1,504$

Profit is approximately $1,504.

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jasminer257

22.01.2023

The answer is 1/4

Step-by-step explanation:

It's 1/4 because it's the least amount and it has x's above it.

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