A perfectly competitive firm faces the short-run cost schedule shown in Table 1. Output 1 2 4 7 Total Cost 12 26 32 40 52 68 93 122 Table 1 A) Calculate average total cost (ATC=TC/Q), marginal cost (MC=ATCIAQ) and marginal revenue (MR=ATRIAQ) for each level of output. The price per unit of output is £16. B) Plot ATC, MC and MR on a graph and mark the profit-maximising output. At what output is profit maximised? C) How much profit/loss is made at the optimum level of output? Co 3. 20
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- Assume the following cost data are for a purely competitive producer Total Product AFC AVC ATC MC 0 1 $60 $45 $105 $45 2 $30 $42.50 $72.50 $40 3 $20 $40 $60 $35 4 $15 $37.50 $52.50 $30 5 $12 $37 $49 $35 6 $10 $37.50 $47.50 $40 7 $8.57 $38.57 $47.14 $45 8 $7.50 $40.63 $48.13 $55 9 $6.67 $43.33 $50 $65 10 $6.00 $46.50 $52.50 $75 In the table below, complete the short run supply schedule for the firm (columns 1 and 2) and indicate the profit or loss incurred at each output (column 3) 1 2 3 4 Price Quantity supplied, single firm Profit (+) or loss (-) Quantity supplied, 1500 firms $26 $32 $38 $41 $46 $56 $66A perfectly competitive firm sells its product at a price of$0.10 per unit. Its total and marginal cost functions are: TC= 5 - 0.SQ + 0.001Q2 MC= -0.5 + 0.002Q, where TC is total cost($) and Q is output rate (units per time period). Solve for the profit maximizing quantity for this firm. My Question: in order to determine just profit maximizing quanitity, do we make MR=MC so the equation would be 0.10 = -0.5 + 0.002Q. Solve for Q then plug that number into the Q in the total cost equation to get the profit maximizing quantity?Rasiah's Garden of fruit is a firm selling fruits in a perfectly competitive market. Total fixed cost is RM50, and the wage for labour is RM5 per worker. The estimated output produced and cost are as follows: Labour Output (Kg of fruits) usage 0. 0. 8. 10 12 20 17 30 24 40 33 50 44 60 57 70 Calculate the total variable cost, average total cost, average variable cost, marginal cost, total revenue and marginal revenue. b. If Rasiah's garden of Fruits sells a kilo of fruit for RM3.50, how many Kg of fruit (output) should the firm sell in order to maximise profits, and how much profits would the firm make?
- Assume the following total cost schedule for a perfectly competitive firm. Output TVC TFC 0 0 100 1 40 100 2 70 100 3 120 100 4 180 100 5 250 100 6 330 100 The total cost of producing 6 units of output is __________________ If the firm is producing at an output level of 2 units, the ATC is _____________ and the AVC is ______________ The profit-maximizing firm would shut down in the short run if the market price of its output dropped below ___________________ At what price would a profit-maximizing firm earn zero economic profits? _______________1- Suppose that the total cost function of a firm is given as follows;TC = 500 + 2Q2And the price of the firm’s product is determined by the market equilibrium at $100.a- Set the profit maximizing condition . Find the profit maximizing output level for this firm .b- What is the total revenue ?c- What is the total cost ?d- What is the profit earned by the firm ?e- Illustrate your answer by using a well-labeled graph .f- Denote the break even price level with Pb on the same graph .g- Denote the shut down price level with Ps on the same graph.h- Show the firm’s supply curve on the same graph .i- Does the firm function in short-run or long-run ? Why ?Suppose you are the economic advisor of Jackie Brown Company, a perfectly competitivecompany that is suffering economic losses due to unforeseen continuous drop in the market price.Jackie Brown is a price taker; hence it cannot influence the market price, nor could it changeproduction technology in the short run. You are asked to decide whether the company should shutdown its operations or to continue to operate at a loss. Jackie Brown is selling 50 units of outputper day, at a price of $20 per unit. The cost of raw material, direct labor, energy, and othervariable inputs is about $24000 monthly. Unfortunately, an estimate of Jackie Brown fixed costs iscurrently unavailable. So, what is your decision?
- Marginal Analysis II Question 1 Assume that a competitive firm has the total cost function: TC=1q3−40q2+870q+1500TC=1q3-40q2+870q+1500 Suppose the price of the firm's output (sold in integer units) is $700 per unit. Using calculus and formulas to find a solution (don't just build a table in a spreadsheet as in the previous lesson), how many integer units should the firm produce to maximize profit? Please specify your answer as an integer. Hint 1: The first derivative of the total cost function, which is cumulative, is the marginal cost function, which is incremental. The narrated lecture and formula summary explain how to compute the derivative. Set the marginal cost equal to the marginal revenue (price in this case) to define an equation for the optimal quantity q. Rearrange the equation to the quadratic form aq2 + bq + c = 0, where a, b, and c are constants. Use the quadratic formula to solve for q: q=−b±b2−4ac−−−−−−−√2aq=-b±b2-4ac2a For non-integer quantity, round up and down to…Flora sells flowers in a perfectly competitive market. These cost functions represent her daily cost functions. TC = 100 + 0.50 + .2502 MC = 0.5 + 0.50 The current price is $9.50 Determine the profit/loss for Flora. Round to the penny. Suppose this is Flora's daily cost functions. This (profit/loss) value is expected to be constant for the next two weeks.What advice you would give her for these next two weeks related to running her business? Explain why.Q23 Suppose a perfectly competitive firm is currently operating with the following information: Output = 1500 tonnesAverage total cost = $627 per tonneAverage variable cost = $614 per tonneMarginal revenue = $620 per tonneMarginal cost = $620 per tonneAt the current level of output, this firm is _____ profit and is an earning economic profit of _____. a. Maximising; -$10500. b. Not maximising; -$10500. c. Maximising; $10500. d. Maximising; $9000. e. Not maximising; -$9000.
- Consider the perfectly competitive market for steel. Assume that, regardless of how many firms are in the industry, every firm in the industry is identical and faces the marginal cost (MCMC), average total cost (ATCATC), and average variable cost (AVCAVC) curves shown on the following graph. The following diagram shows the market demand for steel. Use the orange points (square symbol) to plot the short-run industry supply curve when there are 10 firms in the market. (Hint: You can disregard the portion of the supply curve that corresponds to prices where there is no output since this is the industry supply curve.) Next, use the purple points (diamond symbol) to plot the short-run industry supply curve when there are 15 firms. Finally, use the green points (triangle symbol) to plot the short-run industry supply curve when there are 20 firms. If there were 20 firms in this market, the short-run equilibrium price of steel would be per ton. At that price, firms in this…Suppose a perfectly competitive firm is operating in short run. The information of MR, Q, ATC and AVC are 25 taka, 60 unit, 35taka and 15taka respectively. Calculate firm’s profit/loss and total fixed cost. From these calculations and based on all the given information, can you conclude about the firm’s decision in short run? Explain your reasoning with the help of a suitable diagram. Show all the relevant information in your diagram.[Q=profit maximizing output and MR=marginal revenue]. Don,t copy from anywhere. Answer must be correct. Do step by stepProblem 2: Suppose in a perfectly competitive industry that the market supply and demand forces combine to produce a short-run equilibrium price of$100. Suppose further that a single firm in this industry has a weekly total cost function expressed by the equation: \[ \mathrm{TC}=200+60 q-6 q^{2}+(1 / 3) q^{3} \] (a) Calculate the equations facing the firm: demand, MR, and AR. (b) Calculate the following cost equations of this firm: TFC, TVC, AFC, AVC, MC, and ATC. (c) What is this firm's profit maximizing level of output? What are its profits? (d) At what level of (q) will this firm shut down its operations?