Find the solutions: 1.0bjectives 2.Decision Variables 3. Certainty 4.. Parameters
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- Q4: suppose a particular Ford Plant can build Escort at a rate of one every hr., explorer at a rate of one every 1.5 hr and Lincoln navigator at a rate of one every 2 hr. the vehicles get 25, 15 and 10 miles per gallon of fuel respectively and congress mandates that the average fuel economy of vehicles produced at least 18 miles of all per gallon. Ford loses $1000 on each Escort, but makes a profit of $ 5000 on each Explorer and $ 15000 on each Navigator. Formulate this problem to maximize the profit of ford in one 8 hr-day.XYZ Leather Company manufactures and sells two products, wallets and belts, in its two-department plant. Operating data pertaining to the two products are as follows: Wallets Belts Selling price per unit P30 P50 Cost per unit: Variable manufacturing costs P8 P15 Variable marketing costs P2 P3 Fixed manufacturing costs P5 P5 Fixed marketing costs P6 P1 Cutting Finishing…The Chineke Group of Company manufactures two products, namely product B and product P, and provides you with the following information: Prod. B Prod. P Selling price per unit 80.00 50.00 Less cost of sales: Direct material A @ R5.00 per kg 15.00 10.00 Direct material B @ R4.00 per kg 8.00 12.00 Direct labour @ R6.00 per hour 12.00 6.00 Variable manufacturing overhead @ R5.00 per labour hour 10.00 5.00 Fixed manufacturing overhead per unit 5.00 5.00 Gross profit 30.00 12.00 Less sales & administrative costs: Variable 6.00 4.00 Fixed 10.00 5.00 Net profit per unit 14.00 3.00 Take note of the following constraints: Material A available 360 kg Material B available 360 kg Labour hours available…
- Describe the process of model identification and system parameter estimation and its significance in real-world applications.Self-test 3 Boysen produces enamel and acrylic paint from two particular raw materials M1 and M2. The following data provides the data regarding the production restrictions. Tons of Raw Materials per Maximum daily availability (in tons) ton of: Enamel Acrylic Paint Paint Raw Material, M1 6 4 24. Raw Material, M2 1 2 6 Profit per ton (in millions of Php) 5 4 If the maximum daily demand for enamel paint is at 2 tons, determine the production output that would maximize the profit. Find the optimal solution using the simplex method.Two 150 horsepower motors are being considered for the company's expansion, as presented in the table below (1 hp = 0.746 kw, Php10 per Kw-hour): Purchase price Useful life Market value Annual maintenance cost Efficiency Motor A MARR Php 200,000 Annual operational cost 15,000 10 years None 10,000 80% 10% per year Motor B Php 250,000 10 years 2,500 30,000 5,000 90% How many hours of operations can the company chose either motor A or motor B (the breakeven hours for both motors)? If the motor is to operate for less than and greater than the break-even hours for both motors, which motor should be chosen? 1. How many hours of operations can the company chose either motor A or motor B (the breakeven hours for both motors)? 2. If the motor is to operate for less than the break-even hours for both motors, which motor should be chosen? 3. If the motor is to operate for greater than the break-even hours for both motors, which motor should be chosen?
- Residents of Mill River have fond memories of ice skating at a local park. An artist has captured the experience in a drawing and is hoping to reproduce it and sell framed copies to current and former residents. He thinks that if market is not good, he could sell 400 copies of the version at Rs.125 each. If the market is good, he would only sell 300 at Rs. 90 each. He could make a deluxe version of the same drawing instead. He feels that if the market were not good he could sell 500 copies of the deluxe version at Rs.100. If the market is good, he would only sell 400 copies at Rs.70 each. In either case, production costs would be approximately Rs.35,000. He could also choose to do nothing at this time. If he believes there are a 40% probability of a good market, and 60% probability of not good market, what should he do? Why?Mont Corp produces and sells 1,000 dining tables per year. Currently its only quality problem with the products is related to varnishing. It currently incurs $400 per year for quality training and $600 per year for reliability engineering. Inspection cost is $6 per unit, and all units produced are inspected. Traditionally, at an internal inspection, 9% of all units fully-produced are found to have problems with the varnishing, and are reworked. Rework cost is $100 per unit. Defective units sold to customers are returned to the company and reworked. External failures are 1% of units sold, and the company incurs the shipping costs at the rate of $20 per unit. In 2020, management are considering an alternative method of inspecting products which will reduce inspection cost by $1.50 per unit. The alternative method will reduce the internal failure to 4% of all units produced, and increase the external failure rate to 6% of all units sold. In addition, with the alternative inspection…Questions 2 – Capital budgeting and NPV Responsible Testing Company may buy DNA‐testing equipment A costing $60,000 now (at year 0). This equipment is expected to reduce labor costs of the clinical staff, net of all staff training expenditures, by $20,000 annually in the subsequent years following the investment. Equipment A has a useful life of 8 years and can be straight‐line‐depreciated over its years of operations. No salvage value is expected at the end. The corporate tax rate (combined federal and state) is 40% and the company’s required rate‐of‐return is 15%. (2a) Describe the company’s “investment project”. Calculate the relevant cash flows and use the NPV method to determine the attractiveness of this project. (2b) Suppose that in the second year (year 2) a more efficient and effective DNA‐testing equipment B is expected to enter the market. The new equipment costs $90,000, will have an effective operating life of 6 years, can be straight‐line‐depreciated but…
- Discuss the various methods for system identification and parameter estimation.Consider the following costs of Zula Ltd over the relevant range of 5 000 to 2 0000 units produced.Units produced 5 000 10 000 15 000 20 000Variable cost $200 000 ? ? ?Fixed cost $1 800 000 ? ? ?Total ? ? ? ?Cost per unitVariable cost ? ? ? ?Fixed cost ? ? ? ?Total ? ? ? ?RequiredComplete the above tableA farmer in mufulira, copper belt province of Zambia would like to introduce a new product .it has estimated that the cost of purchasing, delivery and installation the new machine required to manufacture the product is k160, 000.the expected life span of the product is six years. The first revenues 200,000 second 240,000 and 220,000, Revenues estimates are k205,000 in each of the remaining three years. The incremental variable of producing the product are estimated to be 54% of the revenues. The marginal tax rate of the farm is 40% of the revenues. The machine purchased will have a salvage value of k35,000 and the farm is expecting to recoup k10,000 of its working capital at the end of six years. The farm has fixed cost of k30,000.a. Calculate the IRR at a discount rate of your choice.