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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= 22SD – 0.25 SD2 Greenville: QG= 50SG – 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 187 units of steel available.How much steel should be sent to Detroit?Enter as a value. ROUND TO THE NEAREST WHOLE NUMBER.The board of your company discusses a possible future price increase of 20% for one of the products. The argument against the increase is a decrease in sales due to the increased price. With how many units (pieces), sales can fall, without changing the total gross margin, with the following data for your company.Current sales price per piece SEK 600Variable costs per piece SEK 450Current sales volume 10,000 piecesQuestion 9 Trenny has asked her assistant to prepare estimates of cost of two different sizes of power plants. The assistant reports that the cost of the 150 MW plant is $220,000,000, while the cost of the 270 MW plant is $400,000,000. If Trenny has a budget of only $300,000,000, estimate how large a power plant she could afford using linear interpolation (Enter your answer rounded to one decimal place and in MW eg. XX.X)?
- Carlota Music Company estimates that the marginal cost of manufacturing its Professional Series guitars is C ′ (x) = 0.02x + 100 dollars/month when the level of production is x guitars/month. The fixed costs incurred by Carlota are $4000/month. Find the total monthly cost incurred by Carlota in manufacturing x guitars/month.James used $250,000 from his savings account that paid an annual interest of 15% to purchase a hardware store. After one year, James sold the business for 320,000. His accountant calculated his profit to be: Sale revenue 320,000 Purchase price 250,000 Total profit: 70,000 James calculates his economic profit to be: Accounting profit 70,000 Implicit cost 37, 500 (250,000 @ 15% for one year) Economic profit 32,500 He recently learned that NPV of a project returns economic profit relative to the best alternative, so he calculates the NPV: PV Year 0 - 250,000 -250,000 Year 1 + 320,000 278,261 = 320,000/1.15 NPV 28,261 Which is different from 32,500 that he obtained using the first method. What is he doing wrong?A company has determined that the price and the monthly demand of one of its products are related by the equation D = √(400 − p), where p is the price per unit in dollars and D is the monthly demand. The associated fixed costs are $1,125/month, and the variable costs are $100/unit. Use this information to answer, Which of the following values of D represents the breakeven point? (a) 10 units (b) 15 units (c) 20 units (d) 25 units.
- TC = 217 + 55Q + 4Q2What is the average variable cost when 10 units are produced?Enter as a value.Martinez Company's relevant range of production is 7,500 units to 12,500 units. The unit costs when it produces and sells 10,000 units are provided in the table. If 12,500 units are sold, what is the variable cost per unit sold? Amount per unit ($) Direct materials 6.00 Direct Labor 3.50 Variable manufacturing overhead 1.50 Fixed manufacturing overhead 4.00 Fixed selling expense 3.00 Fixed administrative expense 2.00 Sales commissions 1.00 Variable adminsitrative expense 0.50What is the atc of 5 units? A 50 B 52 C 53 D 55
- A firm wishes to determine the efficiency and utilization of a work center composedof 5 machines each working 16 hours per day for 5 days a week. A study undertakenby the materials management department found that over the past 50 weeks the workcenter was actually working for 16,000 hours, and work performed was 15,200 standard hours. Calculate the utilization, efficiency, and demonstrated weekly capacity.Last year, a company introduced a new version of its main product. The product costs $24002400 to develop (i.e. the start up costs) and $3535 to manufacture each product. Do all the following problems on your page: i) Give a linear equation in the form C(n)=mn+bC(n)=mn+b that gives the total cost to produce nn of these products. Give your answer in function notation. No steps or work are required, just give the function. ii) Find the total cost to produce n=3500n=3500 of these products. Show what numbers you used in your arithmetic calculations. Use function notation in your work. Answer in a complete sentence form with units and context. iii) If the company has $5315053150, how many of these items can be produced? Use function notation in your work. Answer in a complete sentence form with units and context.If the profit function for selling smart phone screen magnifier is -4500p2 + 561500p – 11898000, what selling price should Pineapple Store use to maximize profits? $62.39 $264.40 $32.95 $7.37