Assume that there are 100 identical company in the perfectly competitive cabbage industry. Each firm has a short-run total cost curve given by ST C = 0.5Q2 − 10Q + 300. Solve the following: 1. Derive expressions for the corresponding short-run average cost, average variable cost, average fixed cost curve, and marginal cost. 2. Calcalute the firm’s short-run supply curve with market price (P) as a function of Q (the number of kilos of cabbage) 3. Show the industry supply curve for the 50 firms in this industry

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
ChapterB: Differential Calculus Techniques In Management
Section: Chapter Questions
Problem 5E
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Assume that there are 100 identical company in the perfectly competitive cabbage industry. Each firm
has a short-run total cost curve given by ST C = 0.5Q2 − 10Q + 300. Solve the following:


1. Derive expressions for the corresponding short-run average cost, average variable cost,
average fixed cost curve, and marginal cost.
2. Calcalute the firm’s short-run supply curve with market price (P) as a function of Q (the
number of kilos of cabbage)
3. Show the industry supply curve for the 50 firms in this industry

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