In: Economics
Answer - In the short run, a firm that is operating at a loss (where the revenue is less that the total cost or the price is less than the unit cost) must decide to operate or temporarily shutdown. The shutdown rule states that “in the short run a firm should continue to operate if price exceeds average variable costs.
The short run shutdown point for a competitive firm is the output level at the minimum of the average variable cost curve. Assume that a firm's total cost function is TC = Q3 -5Q2 +60Q +125. Then its variable cost function is Q3 –5Q2 +60Q, and its average variable cost function is (Q3 –5Q2+60Q)/Q= Q2 –5Q + 60. The slope of the average variable cost curve is the derivative of the latter, namely 2Q – 5. Equating this to zero to find the minimum gives Q = 2.5, at which level of output average variable cost is 53.75. Thus if the market price of the product drops below 53.75, the firm will choose to shut down production