The marginal cost of producing x units of a certain product is 72 + 1.1x − 0.007x2 + 0.00004x3 (in dollars per unit). Find the increase in cost if the production level is raised from 1800 units to 2000 units. (Round your answer to two decimal places.)

The increase in cost is $81620.

Step-by-step explanation:

Given:

The marginal cost of producing 'x' units of a certain product is given as:

Where, 'C' is the marginal cost.

Now, when , the marginal cost is given as:

Again, when , the marginal cost is given as:

Now, increase in cost is equal to the difference of the above two costs calculated. Therefore,

Therefore, the increase in cost is $81620.