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# (Solved): A frozen food company is preparing to ship 2000 units to a grocery store chain's distribution center ...

A frozen food company is preparing to ship 2000 units to a grocery store chain's distribution center when the chain contacts them to increase their order to 10000 units. The frozen food company knows that when thousand units are shipped, the marginal revenue is expressed as thousand dollars per thousand items. Also, when thousand units are packaged and shipped, the marginal cost function is thousand dollars per thousand items. What is the net increase in profit for the frozen food company when the chain increased their order from 2000 units to 10000 units? (a) First, we will set up the definite integral that will be used to answer the question, then continue to fill in the blanks to perform the steps to evaluate the integral. (b) Complete the following sentence: When 2000 units have already been ordered, increasing the order size by units will result in a net increase in profit of \$ for the frozen food company. (c) The finance office of the frozen food company sees that the total profit for the original order of 2000 units was going to be \$3040. Now, we know that the total profit for the entire order was \$ . This means that the average profit was dollars per unit (round to the nearest cent, if necessary).

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