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Sagot :
Answer:
The marginal cost of producing the 25th speedboat is 18,575.
Explanation:
Note that the given Leisure Enterprise’s total cost (TC) of producing speedboats is correctly stated as follows:
TC = 10Q^3 - 4Q^2 + 25^Q + 500 …….………….. (1)
Where Q represents the quantity of speedboats produced.
To obtain the marginal cost (MC) of producing speedboats, equation (1) is differentiated with respect to Q as follows:
MC = dTC/dQ = 30Q^2 - 8Q + 25 ………………… (2)
Finding the marginal cost (MC) of producing the 25th speedboat implies that Q = 25.
Substituting Q = 25 into equation (2), we have:
MC = (30 * 25^2) - (8 * 25) + 25 = 18,575
Therefore, the marginal cost of producing the 25th speedboat is 18,575.
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