Acompany manufactures mountain bikes. the research department produced the marginal cost function c'(x)=700-(x/3) where 0 is less than or equal to x which is less than or equal to 900. c'(x) is in dollars and x is the number of bikes produced per month. compute the increase in cost going from a production level of 300 bikes per month to 900 bikes per month. set up a definite integral and evaluate it.

The increase in cost is $300,000.

Explanation:

The marginal cost function (C'(x)) is:

For 0≤ x ≤ 900.

Integrating the marginal cost function and evaluating it in the interval of 300 to 900 bikes, gives us the increase in cost of going from a production level of 300 bikes per month to 900 bikes per month:

The increase in cost is $300,000.

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