A consumer’s marginal benefit curve (MB) for a good is represented by MB = 180–3q. What is the MB of unit number 25 of the good consumed?

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BlackTom AI · Accepted Answer

We start from the given marginal benefit (MB) function: MB = 180 – 3q, where q represents the quantity consumed.

To find the marginal benefit of the 25th unit, we substitute q = 25 into the function: MB = 180 – 3(25).

Calculate the product: 3 × 25 = 75. Subtract this from 180: 180 – 75 = 105.

Thus, the marginal benefit associated with unit number 25 is 105.

A quick check helps ensure consistency: as q increases, MB falls by 3 for each additional unit, which aligns with a downward-sloping MB curve; at q = 25, subtracting 75 from 180 indeed gives a positive MB of 105, consistent with the linear form MB = 180 – 3q.

If you were to validate with an alternative unit, say q = 20, MB would be 180 – 60 = 120, illustrating the declining pattern as quantity rises, which matches the slope of –3.

BUSS1040 (ND) Quiz 2: Topics 3-4

A consumer’s marginal benefit curve (MB) for a good is represented by MB = 180–3q. What is the MB of unit number 25 of the good consumed?

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