Case Study

Special Order Decision

A company's total cost of production is described by the function C(Q) = 320 + 2Q + 0.2Q^2, where Q is the quantity of output. The company is currently producing 100 units. An accountant calculates that the cost to produce the 100th unit is $42. A new client offers to purchase an additional 10 units at a fixed price of $43 per unit. The accountant recommends accepting the offer, reasoning that the offered price ($43) is greater than the current marginal cost ($42). Evaluate the accountant's recommendation. Is the reasoning sound? Justify your conclusion based on the properties of the cost function.

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Updated 2025-09-21

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