Suppose a competitive firm has the following short run cost function: C(q) = q³-8q² + 30q + 5. a. р Write the expression for the firm's short run supply curve. Be sure to indicate the range for which the supply curve applies. Wb this firmo
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- A perfectly competitive firm’s short-run total cost curve is C(q)= 100q-4q2+0.2q3+450. What is the firm’s short-run supply curve? Determine also the output level over which the short-run supply curve is defined. How much output will the firm supply if price, p=75?Suppose there are 8 firms in this industry, each of which has the cost curves previously shown. On the following graph, use the orange points (square symbol) to plot points along the portion of the industry’s short-run supply curve that corresponds to prices where there is positive output. At the current short-run market price, firms will ___________________ in the short run. In the long run, _______________If a firm's total cost function is c(q) = 100 + 10 q – q2 +0.1 q3, then (a). what is the firm's shut down price? (b). If the firm is operating under perfect competitive market, derive the firm’s short run supply function.
- Suppose that many small firms operating in the perfectly competitive market set-up. All firms are identical and have the total cost function c (q)= 40+8q+(q^2/10), where q is the individual firm’s production amount. The market inverse demand function is described as P= A - (Q/50), where A>0 is constant, and Q is the market quantity. In the short-run equilibrium, there are 78 firms in the market, and firm’s maximum profit is $22.5 a) find the short-run equilibrium price b) suppose that in the long-run, firms cost function is still the same C (q)= 40+8q+(q^2/10) (assume LR cost function has fixed component of 40) Find the long-run equilibrium number of firms? (Assume market demand in LR = market demand SR)Suppose the short-run cost function of a perfectly competitive firm is C(q) = 10q − q2 + 1/3q3 + 100. Solve for the firm’s short-run supply function q(p).Suppose the short-run cost function of a perfectly competitive firm isC(q) = 10q-q^2+(1/3)q^3+100Solve for the firm’s short-run supply function q(p).
- A perfectly competitive firm has the following total cost function TC=10+20². The price is given at P=4. What is the optimal quantity for this firm? The optimal production is Q=1 B The optimal production is Q=2 This firm should not produce since it incurs in losses for the optimal production D The optimal production is Q=4.Suppose a firm operating in a perfectly competitive industry has costs in the short run given by: SRTC = 8 + ½q^2 and therefore MC = q. Assuming that the firm is a price-taker operating in a competitive market, derive an expression for the firm’s supply curve, (the profit maximizing output for the firm as a function of the market price, i.e., q^s = f(p). Assuming the firm is one of 100 identical firms in the industry, what is the short-run supply curve for the industry, i.e., Q^s = f(p)? If demand is given by Q^D = 1000 – 100p, what are the short-run equilibrium price, market quantity, and firm quantity? Is this a long-run equilibrium? [Hint: Calculate firm profit in the equilibrium.]Suppose that the current price per unit of the good is 10 pounds. A perfectly competitive firm faces the cost function, C = 100 + (1/5)Q2, with marginal cost, MC, equal to (2/5)Q, where Q denotes the quantity produced. Find the profit-maximizing output for this firm in the short-run. Calculate profits. At the profit-maximizing output, is the firm covering its variable costs?
- a perfect competitive firms has the following total cost function: total output : 0 1 2 3 4 5 6 7 total cost : 20 30 42 55 69 84 100 117 how much will the firm produce if the price of the production the market is RS. 14 per unit? how will it change its output if price rises to RS. 16 per unit?Assume the following cost data are for a purely competitive producer: Explain: “That segment of a competitive firm’s marginal cost curve that lies above its average-variable-cost curve constitutes the short-run supply curve for the firm.” Illustrate graphically. How does this curve relate to the law of diminishing returns (Chapter 6)?The market for drones is perfectly competitive. Assume for simplicity that fractions of everything, including firms, is possible. We have identical firms, each with a Total Cost curve of TC=712+q^2 and Marginal Cost curve MC=2q. Market demand is Q=895-2P. What is the long-run equilibrium market price? Enter a number only, drop the $ sign.