1. Complete the following table and answer the questions below:

At 6 units consumed is total utility:

a. increasing

b. a constant rate,

c. decreasing

Question

1. Complete the following table and answer the questions below:

At 6 units consumed is total utility:

a. increasing

b.  a constant rate,

c. decreasing

BlackTom AI · Accepted Answer

Diminishing marginal utility applies: the marginal utility (MU) for each additional unit is positive but falling, so total utility (TU) keeps rising but at a decreasing rate. Relevant concepts: TU is the cumulative satisfaction from all units; MU = change in TU from one more unit. If MU > 0, TU increases; if MU = 0, TU is constant; if MU < 0, TU decreases. Step-by-step reasoning and calculations: 1. Known entries from the table: - Units: 0 TU = 0 - Units: 1 TU = 10, MU1 = 10 - Units: 2 MU2 = 8 (TU2 missing) - Units: 3 TU3 = 25 (MU3 missing) - Units: 4 TU4 = 30 (MU4 missing) - Units: 5 MU5 = 3 (TU5 missing) - Units: 6 TU6 = 34 (MU6 missing) 2. Compute missing totals and marginals using MU = ΔTU: - TU2 = TU1 + MU2 = 10 + 8 = 18 - MU3 = TU3 − TU2 = 25 − 18 = 7 - MU4 = TU4 − TU3 = 30 − 25 = 5 - TU5 = TU4 + MU5 = 30 + 3 = 33 - MU6 = TU6 − TU5 = 34 − 33 = 1 3. Summarize sequence: - TU by units: 0, 10, 18, 25, 30, 33, 34 - MU by unit: 10, 8, 7, 5, 3, 1 Why the correct answer is (a) increasing: - TU at 6 units is 34, greater than TU at 5 units (33). Because MU6 = +1 > 0, TU is still rising at the 6th unit, so total utility is increasing. Why the other choices are incorrect: - (b) a constant rate: would require MU = 0 (no change in TU) for the last unit or equal MU across units; here MU6 is positive and previous MUs vary, so rate is not constant. - (c) decreasing: would require TU6 < TU5 (MU6 < 0); MU6 = +1, so TU is not decreasing. Conclusion: Total utility at 6 units is increasing; the correct answer is (a), matching the provided answer.

1. Complete the following table and answer the questions below: At 6 units consumed is total utility: a. increasing b. a constant rate, c. decreasing 单项选择题

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