4. A flour-producing firm owns two plants. Each plant has a production function given by Q₁ = (K;L;) ½ for i=1,2. Plant 1 owns 25 units of K and plant 2 owns 100 units. The prices of K and L are both $1. a. In the short run K; is fixed. If output is 200, then how much should be produced in each plant? b. What are the short-run TC, MC, and AC functions for the FIRM?
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- 1. Suppose a firm’s cost function is given by C(q) = 20 + 10q − 4q^2 + q^3(a) What is fixed cost?(b) What is variable cost?(c) Compute average cost, average fixed cost, and average variable cost, assuming q > 0.(d) Derive marginal cost.(e) Solve for the shut-down level of production, qSD. (Hint: The minimum of a well-behavedcurve can be found by setting the first derivative equal to zero.)Consider an individual firm competing in a market with many other producers and producing an undifferentiated product (i.e., consumers consider the product from one firm to be exactly as good as the product from any other firm). Assume this firm faces a conventional production technology. The short-run production function has a small range of increasing marginal product (increasing marginal returns) and then is subject to the Law of Diminishing Marginal Product (diminishing marginal returns). Putting quantity q on the horizontal axis and dollars $ on the vertical axis, depict four important curves: Average Fixed Cost (AFC), Average Variable Cost (AVC), Average Total Cost (ATC), and Marginal Cost (MC). Label each of these curves with the subscript 0 to indicate that these are the original (or current) curves. For this question, assume the individual producers in this industry have no control over prices; they must accept the exogenously given price, P0. On a graph containing the four…Please answer all parts. Following is the information available for Bubble Gums produced by Bano and Co. Output (Q) Labor (L) Capital (K) Price 0 0 5 10 100 1 5 10 300 2 5 10 600 3 5 10 800 4 5 10 950 5 5 10 1,080 6 5 10 1,120 7 5 10 1,120 8 5 10 1,050 9 5 10 1,000 10 5 10 Define the production function in long run and short run. Find MPL and APL and exhibit it graphically. Identify all three stages of production. Assume you are the Economist for Bano and Co. decide how many labors would you hire to attain the firm’s objective and why.
- You are given the following cost data. You can’t produce fractions of a unit. Q 0 1 2 3 4 5 6 TFC 12 12 12 12 12 12 12 TVC 0 5 9 14 20 28 38 If the price of output is Rs 7, how many units of output the firm will produce? Will the firm operate in short run and long run? b) How does Total Revenue change with change in price under conditions ep=1, ep<1 and ep>1?A marginal profit curve equation is : MP= −2Q^2 + 160Q + 2145. You are required to determine the level of production, or range of production at which the company will have:(i) An increasing returns to scale(ii) A decreasing returns to scale (iii)A negative returns to scale (iv) Its maximum profit(MANAGERIAL ECONOMICS) Show algebraic solution please Assume that B = -Q 2 + 4,500Q and C= 2Q 2 are the benefits and costs of increasing the units of X-brand energy drink (in a 500 ml bottle).A. What is the profit function of X-brand energy drink production? B. What is the profit-maximizing value of Q? Solve the problem using a tabular solution, showing the Profit, MB, MC and MNB values; assume Q varies by 50 units (in 500 ml bottle). Highlight the profit maximizing level.
- 11 true or false The minimum short-run average total cost occurs at a level of output that is greater than that at which average variable cost is at a minimumQ1.The following is a Cobb-Douglas production function: Q = 1.75K0.6L0.5. What is correct here? * -This production function displays constant returns to scale -This production function displays increasing returns to scale -A one-percent change in L will cause Q to change by one percent -This production function displays decreasing returns to scale Q2. For studying demand relationships for a proposed new product that no one has ever used before, what would be the best method to use? * -consumer surveys, where potential customers hear about the product and are asked their opinions -double log functional form regression model -ordinary least squares regression on historical data -market experiments, where the price is set differently in two marketsSergio Lopez is a publisher of Latin American poetry. His fixed cost is $525, and the cost to produce each individual copy of his book is $3.50. Currently, Sergio is selling these books for $6 each. So far this year, he has produced x a. Write a linear cost function C for Sergio’s book production, in terms of x. b. Find the linear revenue function R for selling x copies of the book. Remember that P(x) = (price)x. c. Use and 1b. to determine the profit function P for selling x books. Write the formula in simplified form. d.Use your answer for 1c to determine the profit, in dollars, for selling 300 books.
- A firm has a fixed production cost of $4000. For the first 100 units of production, the firm has a marginal cost of $50 per unit produced. Producing more than 100 units has a marginal cost of $70 per unit produced. The firm cannot produce more than 150 units. How much does it cost to produce at q=0? at q=50? at q=100? at q=125? at q=150? Graph the firm’s marginal cost functionThe short-run production function of a competitive firm is given by f(L)=6L2/3f(L)=6L2/3 where LL is the amount of labor it uses. The cost per unit of labor is w=6w=6 and the price per unit of output is p=3p=3. What is the total profit if there is no other cost? Select one: a.8 b.6 c.24 d.127 Consider a company whose long run total cost function is TC= 200q -20q^2 +q^3 and whose marginal cost function is MC= 200 -40q +3q^2 1) Find the quantity for which the ATC is minimum: 2) Find the minimum ATC