Final answer:
A firm should continue producing in the short run if the product price covers the average variable cost. At $56, it is likely to produce and make a profit, whereas at $41, it might produce but incur losses, and at $32, it may not produce if this price does not cover average variable costs. Precise output and profit or loss calculations require more detailed cost data.
Step-by-step explanation:
To determine whether the firm should continue producing in the short run at different product prices, we need to examine if the price covers the average variable cost (AVC) at the profit-maximizing output level. If the price is enough to cover AVC, the firm should produce in the short run, even if that means operating at a loss, because it can cover some of its fixed costs in the process.
Assuming a price of $56, and referencing the provided example where the average cost at an output of 40 is $14.50 and the firm makes economic profits, it is likely that the firm will continue to produce since the price exceeds both average cost and most likely the AVC. The profit-maximizing or loss-minimizing output would depend on the firm's total cost and total revenue curves. If, as in the example, the price is above the average cost, the firm will make a profit per unit which is the difference between the price and the average cost.
At a price of $41, whether the firm should produce will depend on the comparison between this price and the AVC. If $41 covers AVC but is below the average total cost, the firm will produce, minimizing losses, but will incur a loss per unit equal to the difference between the price and the average total cost.
When the price falls to $32, if this price is less than AVC, the firm will not produce as it would not cover the variable costs of production. However, if $32 still covers AVC, the firm might continue to produce, minimizing losses even though it's taking a loss per unit equal to the price minus the average total cost.
Delete For the precise profit or loss per unit and the exact output level, detailed cost information would be needed, but the examples given provide a general guideline for decision-making. The firm's short-run supply schedule and associated profits or losses would be based on the profit-maximizing output levels at various prices, which cannot be determined without detailed cost data.