Yes, in the short run, as output increases, average variable cost (AVC) tends to decrease at first due to economies of scale, but eventually increases due to diminishing returns to variable factors of production.
Average Total Cost (ATC) and Average Variable Cost (AVC) get closer as output increases because fixed costs are spread over a larger quantity of output. As production rises, the impact of fixed costs on ATC diminishes, making ATC approach AVC, which only includes variable costs. Consequently, the difference between ATC and AVC decreases, reflecting the reduced per-unit burden of fixed costs at higher production levels.
The Average Variable Cost (AVC) elasticity formula measures how responsive the average variable cost is to changes in output. It is calculated as the percentage change in AVC divided by the percentage change in output (Q): [ \text{AVC Elasticity} = \frac{% \Delta \text{AVC}}{% \Delta Q} ] A value greater than 1 indicates AVC is elastic with respect to output, while a value less than 1 indicates it is inelastic.
The difference narrows. ATC is the sum of AVC and AFC.. Since AFC declines steadily as output rises, the difference between ATC and AVC must narrow steadily.
As output expands, fixed costs are spread out over a larger quantity of output, causing average fixed cost (AFC) to decrease. Since average total cost (ATC) is the sum of average variable cost (AVC) and AFC, and AFC is decreasing, ATC will also decrease. However, AVC tends to decrease at a slower rate than AFC, so the gap between AVC and ATC narrows as output expands.
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When AP rises AVC falls
AVC=AC-AFC,the AVC curve is simply the vertical difference between the AC and AFC curve, AFC gets less, the gap between AVC andAC narrows.since all marginal costs are variable ,the same relationship holds between MC and AVC as it did between MC and AC ,that is ,when MC is less than AVC ,it must be falling, if MC is greater than AVC .it must be rising, so ,as with the AC curve ,the MC curve crosses the AVC curve at its minimum point
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Overall because of diminishing marginal returns. The marginal cost curve, MC, decreases until diminishing marginal returns set in and and it begins to increase. When the MC is below the AVC, the AVC must fall. When the MC is above the AVC, the AVC must rise. In otherwords, if the marginal cost is decreasing the average cost must be decreasing as well and vice versa.