A competitive firm produces a product using the function f(x1,22) = 8 ,". The factor prices are p1 = $2.50 and p2 1/21/2 $4 and the firm can purchase as much of either factor at the given prices. What is the firm's marginal cost? O a. $1.74 O b. $1.07 O . $2.32 Od. None of the above
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- A competitive firm produces a product using the function f(x1,x2)=8x1/21x1/22f(x1,x2)=8x11/2x21/2. The factor prices are p1=$2.50p1=$2.50 and p2=$4p2=$4 and the firm can purchase as much of either factor at the given prices. What is the firm's marginal cost? a. None of the above b. ≈$1.07 c. ≈$2.32 d. ≈$1.74To maximize profit, a price taker will expand its output as long as the sale of additional units adds more to revenues (marginal revenues) than to costs (marginal costs). Therefore, the profit-maximizing price taker will produce the output level at which marginal revenue (and price) equals marginal cost. In a price-taker market, if a business produces efficiently (i.e., that is, where marginal revenues = marginal costs), the firm will be able to make at least a normal profit. True of False. ExplainTo maximize profit, a price taker will expand its output as long as the sale of additional units adds more to revenues (marginal revenues) than to costs (marginal costs). Therefore, the profit-maximizing price taker will produce the output level at which marginal revenue (and price) equals marginal cost. In a price-taker market, if a business produces efficiently (i.e., that is, where marginal revenues = marginal costs), the firm will be able to make at least a normal profit. True of False. Explain. All firms produce where MR=MC. Price takers produce and price where P=ATC=MC=MR. That is the "normal profit" level. Profits above that level are considered "economic profits." Review economic profits, normal profits, explicit costs, and implicit costs.
- Modified True or False: State whether each statement is true or false. If the statement is false, briefly explain why it is so, and then restate it to make it true. The shapes of long-run cost curves follow directly from the assumption of a fixed factor of production, which implies diminishing returns. The optimal scale of plant is the scale of plant that maximizes average cost. In the long-run competitive equilibrium, each individual firm chooses a scale of operations that minimizes its long-run average cost. Answer correctly and explain within 30mins will give you positive feedback.Q)Assume that a competitive firm has the total cost function: TC=1q^3−40q^2+740q+1600 Suppose the price of the firm's output (sold in integer units) is $650 per unit. Create tables (but do not use calculus) with columns representing cost, revenue, and profit to find a solution. A. How many units should the firm produce to maximize profit? B. What is the total profit at the optimal output level? Please specify your answer as an integer.Consider a company that operates in a competitive market, with a typical set of cost curves (Marginal Cost, Average Variable Cost, Average Fixed Cost and Average Cost with typical formats of Microeconomics theory). Consider further that Marginal Costs coincide with Average Total Costs when the firm's output is 200 units of output, at a market price of 50. If market prices fall to 40, the company will produce 180 units of product to maximize its profit. If at this point the Average Fixed Costs per unit of output equals 27 per unit of output, what are your recommendations for this company in the short term? And in the long run?
- A purely competitive firm has a single variable input L (labor), with the wage rate W0 per period. Its fixed inputs cost the firm a total of F dollars per period. The price of the product is P0. (a) write the production function, revenue function, cost function, and profit function of the firm. (b) What is the first-order condition for profit maximization? Give this condition an economic interpretation. (c) What economic circumstances would ensure that profit is maximized rather thatn minimized?The manager of Don Teeta Company Limited hires labour (L) and rents capital equipment (K) ina very competitive market. Currently, the wage rate of labour is GH¢2 per hour and capital isrented at GH¢5 per hour, the unit price of the product is GH¢0.75 and total cost of production isGH¢1,000. Suppose the firm’s production function (Q) is as follows:? = 14?0.5?0.5 + 10Determine the optimal input usage and the maximum profit.Suppose that the firm’s demand curve indicates that at a price of $10 per unit, customers will demand 2 million units of its product. Suppose that management decides to pick both price and output; the firm produces 3 million units of its product and prices them at $18 each. What will happen?
- You are the manager of a firm that sells a “commodity” in a market that resembles perfect competition, and your cost function is C(Q) = 2Q + 3Q2. Unfortunately, due to production lags, you must make your output decision prior to knowing for certain the price that will prevail in the market. You believe that there is a 70 percent chance the market price will be $200 and a 30 percent chance it will be $600.a. Calculate the expected market price.$ b. What ouptut should you produce in order to maximize expected profits?unitsc. What are your expected profits?$A competitive firm’s production function is given by y= f(x1,x2)= 4x11/2 + 10x21/2 a) The price of factor 1 is 1, the price of factor 2 is 1, and the price of output is 2. Find the profit-maximizing quantities of x1 and x2? What is the profit-maximizing quantity of output? b) Redo part (a), this time by first deriving the firm’s factor demand functions and the supply function, and then substituting the prices in these functions.Under what condition will a competitive firm necessarily shut down its operations? What does this imply regarding the shape of the firm's short run supply curve? Use this condition to determine the short run supply curve of the firm uses Labour (L) and Capital (K) to produce commodity (Y). Assuming that the wage rate is Rs. 340/- and the rental rate on capital is Rs. 0.5/-. The quantities of the inputs and outputs are shown in the table below. L 0 1 2 3 4 5 6 7 8 9 10 K 90 90 90 90 90 90 90 90 90 90 90 Y 0 100 250 420 560 675 760 820 860 885 900