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A consumer’s marginal benefit curve (MB) for a good is represented by MB = 181–2q. What is the MB of unit number 9 of the good consumed?

Question

A consumer’s marginal benefit curve (MB) for a good is represented by MB = 181–2q. What is the MB of unit number 9 of the good consumed?

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Solution

The marginal benefit (MB) of a good is the additional benefit a consumer receives from consuming one more unit of that good. It is represented by the derivative of the total benefit function with respect to quantity (q).

In this case, the marginal benefit function is given as MB = 181 - 2q.

To find the marginal benefit of the 9th unit of the good consumed, we simply substitute q = 9 into the marginal benefit function:

MB = 181 - 2(9) MB = 181 - 18 MB = 163

So, the marginal benefit of the 9th unit of the good consumed is 163.

This problem has been solved

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