A. Consider that you're the manager of a competitive firm, KKL INC. with the following short run cost function C = 3q^3 - 6q^2 + 20q + 15. In the short run, what is the minimum price the firm. KKL INC., must receive for its product in order to continue operating?
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- PakPerfect Inc. estimates equation of its total costs of production as TC = 500 + 10Q + 5Q2 and market demand for its product as Qd = 105 – (1/2) P, where Q is quantity in units and P is price in Pak$. Write the equations of the firm’s costs, as a function of Q: Average Total Cost ATC Average Variable Cost AVC Average Fixed Cost AFC Given above costs can you determine what will be the firm’s production in Stage 1? What is the breakeven price and breakeven quantity for this firm? What is the shutdown price and quantity for this firm? Draw the firm’s costs in a graph as per your determination in (a). Label the breakeven and shutdown price and quantity using information in (b) and (c) above. Given the market price of Pak$ 50 how many units should the firm produce? how many firms are competing in this market in short-run? How many firms will be in the industry in the long-run? How do you interpret the profit or loss condition of PakPerfect? Use a two-panel graph of the Market and…Question Four a) A fim, focusing on producing meat pie has a demand function 20 25-0.25P. If fixed cost is 145 and variable cost per urit function is 2Q- 40 + , where Q is number of meat pie produced and Pis the price per unit: i. 275 Determine the number of meat pies that maximizes the company's profit. ii. How much should the fimcharge per unit of the product? iii. Find the total profit at the profit mximizing level of output. iv. Using the own price edasticity of demand, comment on the fimis pricing policy optiors. b) The production function for Amzonbuưgers, producers of delicious burgers at Sao Tome, is given as: Q = K%L% If the wage rate is $15 per unit of labour, and cost of capital is $1,920 per unit and you have 1 unit of capital which carmot be changed, and the firmemploys 8 units of labour; i. Calculate the fimts total cost ii. Calculate the fim's average cost ii. Estimate the marginal product of labourSuppose the marginal cost and marginal revenue (in ¢000) for a product produced by a company is estimated to beMC=q+35 MR=560+22q−q2Where q is the quantity produced and the firm’s break-even is 5 units per weekYou are Required to1. determine the total cost and the total revenue function in terms of q.2. estimate the output at which profit is maximize3. calculate the maximum profit
- PakPerfect Inc. estimates equation of its total costs of production as TC = 500 + 10Q + 5Q2 and market demand for its product as Qd = 105 – (1/2) P, where Q is quantity in units and P is price in Pak$. a- Write the equations of the firm’s costs, as a function of Q: Average Total Cost ATC Average Variable Cost AVC Average Fixed Cost AFC b- Given above costs can you determine what will be the firm’s production in Stage 1? c- What is the breakeven price and breakeven quantity for this firm?11. Madibaz is a company that produces t-shirts. The firm operates in a highly competitive, industry and each t-shirt is priced at R80. Madibaz's marketing manager wants to determine the possible total profit for the year given the price and costs of production. The total cost equation is TC=25000 +0.025Q where Q is the number of t-shirts per year. Calculate Madibaz's total profit.The figure shows graphs of the total cost function and the total revenue function for a commodity. (Assume cost and revenue are measured in dollars.) y 500 400 300 200 100 MR 10 (a) Label each function correctly. function A ---Select--- function B ---Select--- (x, y): = 20 (b) Determine the fixed costs. $ 30 (c) Locate the break-even point. -([ = 40 50 Determine the number of units sold to break even. units A B 60 (d) Estimate the marginal cost MC and marginal revenue MR. MC = X
- A local company is planning to manufacture and market a four-slice toaster. For this toaster, the research department’s estimates are aweekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department’s estimates are fixed weekly costs of$5,000 and variable costs of $5 per toaster. a) Assume that the relationship between price ? and demand ? is linear. Use the research department’s estimates to express ? as a function of ? and determine the domain of the function. b) Using your knowledge from Finite Math, determine the Revenue function in terms of ?. c) Determine the Marginal Revenue at 2 different production levels for example 250 and 500 units. Interpret these results. (HINT: Consider what a positive or negative first derivative implies) d) Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. e) Determinethe Marginal costand interpret the…Tim Marlow, the owner of The Clock Works, wanted to know how many clocks he must sell in order to cover his fixed cost at a given price. Tim knew that he had a fixed cost of $20,000 for equipment, taxes, and a bank loan. He also had a unit variable cost of $20 per clock for labor, materials, and promotional costs. If the price Tim charges for each of his clocks is $40, what is his break-even point quantity?A manufacturer of electric switches in a competitive industry has a fixedmonthly cost of $50,000, total monthly variable cost $100,000, and marginalcost of $5. What is the profit if the monthly production is 100,000 units?Assuming that prices of switches fluctuate from month to month, what is the lowest price the manufacturer can accept in order to stay in business in the long run and in the short run. Will those prices be the same? Show detail work
- 12. The monthly total cost of production for Flavell Corp., is related to the level of output Q in the following way: TC = 15Q -8Q² +Q³ Which of the following represents the marginal cost of this total cost curve? a) MC=15-16Q+ 3Q² b) MC=-16Q+3Q² c) MC=15-8Q+ 3Q² d) MC=15+8Q-3Q²What is the profit maximization for apex firm if we have the following data quantitiy /unit ={0,1,2,3,4,5,6,7,8,9,10} total variable cost =[0,100,180,220,300,390,500,640,800,1000,1250} 2. If the market price dropped to $80, what is the profit-maximizing level of output? What is Apex’s profit (or loss) in this case?3. If the market price dropped further to $40, what is the profit-maximizing level of output? What is Apex’s profit (or loss) in this case?4. Comment on your answers to parts (2) and (3). An electricity producer has a constant marginal cost of production equal to $40 per megawatt. The residual demand for its electricity is given by P (q) = a−bq, where P is the price and q is the quantity of power generated by this producer. The producer knows the slope, b, but he vertical intercept of the residual demand curve, a is unknown. Assume A and B are greater than zero. If you get stuck, you may answer any of the following questions for special case where a = 80 And b = 0.5 for partial credit. (a) What is the marginal revenue, M R(q), for this producer? b) What is the optimal q for this producer? (c) What is the electricity producer’s optimal price? (d) What is the electricity producer’s optimal bid in a uniform price Auction? e) Suppose b is equal to zero. Would the producer have an incentive to submit a bid above its marginal cost? Explain.