If a firm's average total cost decreases as the firm increases its output, the firm's marginal cost must be

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Question restatement: If a firm's average total cost decreases as the firm increases its output, the firm's marginal cost must be which of the following?

Option 1: less than the average total cost
Reasoning: When ATC is falling as output rises, the marginal cost must be below ATC. This is because ATC is the average of all costs per unit, and a new unit produced at a cost lower than the current average pulls the average down. Therefore MC < ATC aligns with a decreasing ATC.

Option 2: negative
Reasoning: A negative marginal cost would mean total cost decreases with each additional unit produced. While ATC can fall when MC is below ATC, MC being negative is not a necessary or typical condition for ATC to fall. In most short-run analyses, MC is nonnegative once production begins, so this is not the required implication.

Option 3: greater than the average variable cost
Reasoning: MC being greater than AVC does not by itself determine whether ATC is rising or falling. ATC can fall while MC is below ATC; it can also be above AVC depending on the relative positions of AVC and AFC. This option does not capture the essential relationship between ATC and MC when ATC is decreasing.

Option 4: less than the average fixed cost
Reasoning: ATC = AVC + AFC. Since AFC falls as output increases, it is possible for MC to be less than ATC without being less than AFC. In fact, MC can be below ATC while still being above AFC or below AVC depending on the firm’s cost structure. This option misstates the direct relationship between MC and ATC.

Option 5: decreasing
Reasoning: Saying MC is decreasing would mean marginal cost itself falls as output increases, which would not directly explain why ATC is falling. The fall in ATC is driven by MC being below ATC, not by MC itself decreasing with quantity. The statement that MC is decreasing is not the necessary condition for ATC to decrease.

Summary: The correct conceptual link is that ATC decreases when MC < ATC. Among the options, "less than the average total cost" correctly captures this relationship, while the other statements misrepresent the necessary condition or describe unrelated aspects of cost behavior.

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