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?

$1,504

Step-by-step explanation:

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

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:

Finally, the approximate profit for producing 101 items is:

Profit is approximately $1,504.

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step-by-step explanation: