The Return of Detroit City: Enpar manufactures engine parts for Ford using steel as an input. Enpar operates two plants, one in Detroit, MI and one in Greenville, SC. The production functions for the two Enpar plants are: Detroit: 2 QD 20SD - 0.25 Sp² ill
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- The Return of Detroit City: Enpar manufactures engine parts for Ford using steel as an input. Enpar operates two plants, one in Detroit, MI and one in Greenville, SC. The production functions for the two Enpar plants are:Detroit: QD= 18SD – 0.25 SD2 Greenville: QG= 43SG – 0.5 SG2 where QD and QG are the outputs of engine parts (in units) from the Detroit and Greenville plants, respectively. SD and SG are the amounts of steel for the two plants. The firm has 104 units of steel available.How much steel should be sent to Detroit?Enter as a value. ROUND TO THE NEAREST WHOLE NUMBER.1. The Primary Metals production function in Table 7.4 of the MMH textbook, holding nonproduction workers constant, can be roughly expressed as Q = 100*L.08*K.37. Use this function to answer the following. Suppose a firm wishes to produce 1200 units of Q. Use an Excel Spreadsheet to find the MRTSLK in adding a 10th unit of Labor. Conduct your analysis using an Excel Spreadsheet and changing Labor by 1, 2, 3, etc., that is, use integer values of L only. In absolute value terms, the MRTSLK when we add the 10th unit of L is ______. A. 114.9. B. 18.4. C. 11.6. D. 7.5. E. 3.6. 2. This is a continuation of the previous problem. Suppose a Primary Metals company’s ratio of PL to PK is 1.40. What is the optimal (cost minimizing) combination of L and K that should be employed by the firm to produce Q = 1200? Conduct your analysis using an Excel Spreadsheet and changing Labor by 1, 2, 3, etc., that is, use integer values of L only. Use a Spreadsheet and not Excel Solver. The optimal L = _____…Show that the two-input CES production(attached) has DRS, CRS, or IRS depending on whether B (beta) is smaller than, equal, or greater than 1.
- Consider the following Cobb-Douglas production function for the bus transportation system in a city: Q = Lβ1Fβ2Bβ3Where L = labour input in worker hours F = fuel input in gallons B = capital input in number of buses Q = output measured in millions of bus miles Suppose that the parameters (α, β1, β2 and β3) of this model were estimated using annual data for the past 25 years. The following results were obtained: β1 = 0.45, β2 = 0.20 and β3 = 0.30a. Determine the (i) labour, (ii) fuel, and (iii) capital-input production elasticities .b. Suppose that labour input (worker hours) is increased by 2 percent next year (with the other inputs held constant), determine the approximate percentage change in output. c. Suppose that capital input (number of buses) is decreased by 3 percent next year (which, certain older buses are taken out of service). Assuming that the other inputs are held constant, determine the approximate percentage change in output. d. What type of returns to scale appears…Coffee RoasteryFocused on keeping its entire supply chain green, the roastery carefully selects the suppliers from whom it sourcescoffee beans. It works directly with farms and farm cooperatives, who are accredited as treating their farmers andemployees fairly and ethically. Approximately 50% of the roastery’s output is used by BB’s academy and coffee bars,ensuring a continued green chain across its businesses. In 2020, the coffee roasting unit produced 4500 tonnes andcontributed 15% of BB’s total revenue. The sustainability positioning has differentiated BB from its peers, and helpedit earn collaborations with socially responsible corporates. Best of all, there is now capacity to expand production toaround 18,000 tonnes at the roastery and start exporting roasted coffee beans to other countries.At present, the roastery is roasting 100% Arabica beans. The average wholesale price BB is able to sell the Arabicabeans for in 2021 is US$3.10, down from US$4.42 in 2014. However, projections…E4 ACME Corporation produces a variety of products for its diverse customer base, including the jet-powered pogo stick and jet-propelled tennis shoes, both of which are essential for catching roadrunners. Currently, they produce 40,000 engines per year that are used in the production of these two products. As the production manager for thisproduct line, you have determined that last year’s costs to produce the engines included: $99,600 in direct material expenses, $298,800 in direct labor expenses, $224,100 in variable overhead costs (i.e. power to operate the equipment), and $116,200 in fixed overhead costs (i.e. utilities to keep the factory operational). ACME plans to produce these engines only for the next 6 years. If they produce the engines in-house, they anticipate that direct material costs will increase at a rate of 5% each year. Further, they anticipate that labor costs will increase at a rate of 6% per year and variable overhead costs will increase at a rate of 3% per year.…
- At the beginning of the year, managers at King Industries estimated $420000 in manufacturing overhead, 20000 direct labor hours and 50000 machine hours. Actual manufacturing costs at the end of the year were $425000 in manufacturing overhead. During the year, 22000 direct labor hours and 47000 machine hours were incurred. If overhead is applied based on direct labor hours, what is the predetermined overhead rate for the coming year? $21.00 per direct labor hour $8.40 per direct labor hour $19.09 per direct labor hour $9.04 per direct labor hourWhimsical Toys A US-based designer and manufacturer of wimsical, high quality, wooden toys is looking to expand manufacturing capacity to service its growing domestic demand. The company currently owns one manufacturing facility in North Carolina and is considering either building onto this facility or sourcing some of its production from Mexico. If it sources from Mexico, the company must further consider whether to own this facility or outsource this fraction of its production to another company. Labor cost as a % of total bill of materials cost at the North Carolina site is currently 30% for a typical wooden toy and the average wage of workers in the plant is $27/hour. The average wage of workers doing similar work in Mexico is $4.50/hour. If the labor costs remain the same as described above, what percent of product cost results in no cost difference between production in US and Mexico? a. 0% b. 18% c. 20% d. 22%Consider the following Cobb-Douglas production function for the bus transportation system in a city: Q = Lβ1Fβ2Bβ3 Where L = labour input in worker hours F = fuel input in gallons B = capital input in number of buses Q = output measured in millions of bus miles Suppose that the parameters (α, β1, β2 and β3) of this model were estimated using annual data for the past 25 years. The following results were obtained: β1 = 0.45, β2 = 0.20 and β3 = 0.30 a. Determine the (i) labour, (ii) fuel, and (iii) capital-input production elasticities
- ABCD Inc. is a shoe company, they have decided to build a new manufacturing facility because they have developed modern technology to help in the production of their sneakers. The new facility will be able to process up to 10,000 pairs of sneakers per year, but this year is only expected to produce 7,000 pairs. ABCD Inc.'s first facility uses the same technology and has processed 12,000 shoes per year with a full production capacity of 12,000. Draw the long run and short-run average cost curve for ABCD’s new facility and first facility and indicate where the MES is most likely to occur.The sole proprietor of the Alton Plumbing Supply Company receives all accounting profits earned by his firm and a $30,000 a year salary. He has a standing salary offer of $40,000 a year working for a large corporation. If he had invested his capital outside his company, he estimates that would have returned $15,000 this year. If accounting profits for the year were $65,000, economic profits were:Shows the derivative function of: TC = 4Q² + 2Q + DC(Q) + FC,where TC = Total Cost, DC = Depreciation cost of capital for each Q production, and FC = Fixed Cost.