Problem 2.5 The cost function for Acme Laundry is TC(q) = 10 + 10q + q^2 so its marginal cost function is MC(q) = 10 + 2q where q is tons of laundry cleaned. Derive the firm's average cost and
The firms in the perfectly competitive market are price taker. The equilibrium price and quantities are decided by the market forces of demand and supply.
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Can these be answered as well? Derive the firm's average cost and average variable cost
Can these be answered as well? Derive the firm's average cost and average variable cost
- Assume a competitive firm faces a market price of $100, a cost curve of: C= 1.00g + 25g + 1,600 and a marginal cost curve of: MC = 2.00g + 25. The firm's profit maximizing output level is 37.50 units, the profit per unit is $-5.17, and total profit is: $-193.88. However, if the firm wanted to maximize the profit per unit, how much would it produce? It would produceunits. (round your answer to two decimal places) If the firm produced this output level, what woulid be the profit? Its profit would be $. (round your answer to the nearest penny)arrow_forwardThe cost function for Acme Laundry is C(q)=50+30q+q2, where q is tons of laundry cleaned. What q should the firm choose so as to maximize its profit if the market price is p?arrow_forwardThe graph shows the Cost curves for a profit maximizing firm in a competitive market. If the market price is $30 and the firm produces at the profit maximum quantity, what is the amount of the total fix costarrow_forward
- 7. Assume that the marginal cost curve is given by mc(q) = 100 + 2q. (a) If the price is $160, what is the optimal production for the firm? What if the price is $120? (ignore the shut-down decision for this part) (b) Assuming that the market is cleared at $160 (no shortage/surplus). If the market demand is equal to 10,000 units of the product. How many firms are currently operating (n) in the market? (Hint: if the market clears qª = n x q°) (c) If the total cost curve is TC 256 + 100g + q², what's the average total cost curve? %3| what's the break-even price? (d) If the demand curve is given by qd = 8, 452 – p, what's the long-run equilibrium price, the equilibrium quantity and the long-run total number of firms (n) in the industry?arrow_forwardFor the pizza seller whose marginal, average variable, and average total cost curves are shown in the graph below, what is the profit-maximizing level of output and how much profit will this producer earn if the price of pizza is $1.50 per slice?Instructions: In the graph below, label all three curves by clicking on the dropdown to select the appropriate label. Instructions: Enter your response as a whole number. If you are entering a negative number, be sure to include a negative sign (−). When the price is $1.50 per slice, the profit-maximizing level of output is slices per day. Instructions: Enter your response rounded to the nearest penny (two decimal places). At the profit-maximizing level of output, the producer's profit is: $ per day.arrow_forwardIn the long run, you are given the following: The total revenue curve is TR= -4Q^2 + 28Q +235. The average variable cost curve is AVC = 4Q-36+(100/Q). At what level of output should the firm operate in order to maximize profits?arrow_forward
- Problem 2.5 The cost function for Acme Laundry is TC(q) = 10 + 10q + q^2 so its marginalprod cost function is MC(q) = 10 + 2q where q is tons of laundry cleaned. Derive the firm's average cost and average variable cost curves. What q should the firm choose so as to maximize its profit if the market price is p? How much does it produce if the competitive market price is p = 50?arrow_forwardConsider the following cost function: Total Cost = 50+5Q^3 and demand curve Price= 5000-275*Q Given these functions, what would be the profit maximizing output?arrow_forwardA firm's short-run production function is q=3L0.2 , while its cost function is C = 2L. Furthermore, the firm can sell its output in a perfectly competitive market at p = 40. 6.1 Find the value of the firm’s profit when L = 50 . 6.2 Calculate the level of L that satisfies the first-order condition for profit maximization. 6.3 Calculate the value of the second order derivative (SOD) that ensures profit is being maximised at the value of L found in 6.2 .arrow_forward
- Consider a firm with the following cost function: C (q) = 4q^2 + 100 Find the long-run supply and the short-run supply of the firm, under the assumptions that the total cost function is the same in the long and in the short run, but the xed cost is sunk in the short run.arrow_forwardA firm is producing a positive amount of output Q in the short run. At this output level, which of the following is true? I. P>SRMC. II. P>ANSC. II. SRMC is downward sloping. I only Il only I and II only I and III only Il and III onlyarrow_forwardshow work pleasearrow_forward
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