(2). A company produces tables at its two factories A and B. The next three months, the company must provide its customers (on time!) the following: 300 tables in month 1, 400 tables in month 2 and 500 in month 3. A table produced in factory A requires 1.5 hours of skilled labour. A table produced at factory B requires 2 hours. It costs $40 to produce a table in factory A and $35 at factory B. During each month, each factory has 600 hours of skilled labour. It costs $10 to hold a table in inventory for one month. Formulate an LP whose solution will tell the company how to minimize the cost of meeting demand for the next three months. Make sure to clearly define your variables!
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- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.2.28 A foundry produces castings to order. An order for 20 special castings has been re- ceived. Since the casting process is highly variable, not all castings produced are good. The cost of producing each casting is $550; the additional cost of finishing a good casting is $125. If a casting is not good, it is recycled at a value of $75; excess good castings are not finished but are recycled at a value of $75. The customer has agreed to accept 15, 16, 17, 18, 19, or 20 castings at a price of $1250 each. If fewer than 15 good castings are produced, none will be purchased by the customer. Prob- ability distributions for the number of good castings produced in a batch of varying sizes are given below. How many castings should be scheduled in order to maximize expected profit? #Good Castings 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 79 2 PRODUCT, PROCESS, AND SCHEDULE DESIGN Number of Castings Scheduled 15 16 17 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.00…A machine tool company conducts a job-training programme at a ratio of one for everyten trainees. The training programme lasts for one month. From past experience it has been found thatout of 10 trainees hired, only seven complete the programme successfully. (The unsuccessful traineesare released). Trained machinists are also needed for machining. The company's requirement for thenext three months is as follows:January: 100 machinists, February: 150 machinists and March: 200 machinists.In addition, the company requires 250 trained machinists by April. There are 130 trained machinistsavailable at the beginning of the year. Pay roll cost per month is:Each trainee Rs. 400/- per month.Each trained machinist (machining or teaching): Rs. 700/- p.m.Each trained machinist who is idle: Rs.500/- p.m.(Labour union forbids ousting trained machinists). Build a l.p.p. for produce the minimum costhiring and training schedule and meet the company’s requirement.
- A company possesses two manufacturing plants, each of which can produce three products, X, Y, and Z, from a common raw material. However, the proportion in which the products are produced differs in each plant, and so are plant's operating costs per hour. Data on production per hour and costs are given below, together with current orders in hand of each product. Products Operating cost per hour Y Plant A 4 9. Plant B 4 2 10 Orders on hand 50 24 60 Formulate the above as a linear programming problem. Find the number of production hours needed to fulfill the orders on hand at minimum cost using the using Big M method.At a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be installed in 3 years, so the tractor will not be needed after that. However, because it will receive heavy use, so that the running and maintenance costs will increase rapidly as the tractor ages, it may still be more economical to replace the tractor after 1 or 2 years. The following table gives the total net discounted cost associated with purchasing a tractor (purchase price minus trade-in allowance, plus running and maintenance costs) at the end of year i and trading it in at the end of year j (where year O is now). i 012 1 $13,000 j 2 $28,000 $17,000 3 $48,000 $33,000 $20,000 The problem is to determine at what times (if any) the tractor should be replaced to minimize the total cost for the tractors over 3 years. (a) Formulate this problem as a minimum cost flow problem by showing the…At a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be installed in 3 years, so the tractor will not be needed after that. However, because it will receive heavy use, so that the running and maintenance costs will increase rapidly as the tractor ages, it may still be more economical to replace the tractor after 1 or 2 years. The following table gives the total net discounted cost associated with purchasing a tractor (purchase price minus trade-in allowance, plus running and maintenance costs) at the end of year i and trading it in at the end of year j (where year O is now). i B 012 1 $13,000 j 2 $28,000 $17,000 3 $48,000 $33,000 $20,000 The problem is to determine at what times (if any) the tractor should be replaced to minimize the total cost for the tractors over 3 years. (a) Formulate this problem as a shortest-path problem by drawing a…
- 3. The ore of a gold mine in the province contains, on average, 0.5 ounce of gold per ton. Method A ofprocessing costs 150Php/ton and recovers 93% of the gold, while Method B costs only 120Php/tonand recovers 81% of the gold. If gold can be sold at 1,200/ounce, which method is better and by howmuch?a. Method A, by 43Phpb. Method A, by 42Phpc. Method B, by 42Phpd. Method B, by 43Php e. None of the above2. A machine part can be exhausted either from aluminum or steel. There is an order of 8,000 units.Steel costs 3.80Php/kg, while aluminum cost 8.70Php/kg. If steel is used, the steel per unit weighs110g and 30g for aluminum. In production, steel is 50 units/hr and 80units/hr with an aid of a toolcosting 640Php, which will be useless after the 8,000 units are finished. The cost of the machineoperator is 10.80Php/hr. if all other costs are identical, which material is more economical?a. Aluminum, by 1,264Php cost difference.b. Aluminum, by 1,653Php cost differencec. Steel, by 640Php cost difference.d. Steel, by 1,088Php cost difference.e. None of the aboveSuppose 100,000 lamps are to be manufactured annually. It costs $1 to store a lamp for 1 year, $500 to set up the factory to produce a batch of lamps and $5 to produce each lamp. A. If all lamps are produced in one batch find the total cost? B. If all lamps are produced in two batches of equal size, find the total cost? C. If the number of units in each batch is q, then how many batches are there? D. Find the number of lamps in each batch to minmize the total cost? E. What is the minimum cost? [ i need all answer i will upvote]
- A manufacturing plant produces a product 'A' that requires one unit of 'B' and ½ unit of 'C'. Each unit of 'B' is comprised of one unit of 'D', two units of 'E', and one unit of 'F'. Each unit of 'C' requires ½ unit of 'G' and three units of 'H'. The manufacturing lead times for the components are as follows: 'A' - two weeks, 'B' - one week, 'C' - two weeks, 'D' - two weeks, 'E' - three weeks, 'F' - one week, 'G' - two weeks, 'H' - one week. There are 20 units in stock for each of these components. 100 units of 'A' are needed for delivery in seven weeks: a) Develop the product structure and indexed bill of materials for the product. b) Create a gross and net requirements plan for the manufacturer of the product.Suppose Firm A can manufacture 100 pens and 20 umbrellas with a unit of labor, and Firm B can manufacture 80 pens and 10 umbrellas with a unit of labor. Which one of the following statements is true? Firm A has the comparative advantage in both pen and umbrella production.Firm B has an absolute advantage in umbrella production.Firm A has a comparative advantage only in pen production.Firm B has a comparative advantage in pen production.Neither firm has a comparative advantage in either pen or umbrella production.Jays Office Supplies sells Printers, which it orders from Brands mart Inc in . Because of shipping and handling costs, each order must be for 5 printers. Because of the time it takes to receive an order, the company places an order every time the present stock drops to 5 Printers. It costs $50 to place an order. It costs the company $500 in lost sales when a customer asks for a Printer and the warehouse is out of stock. It costs $100 to keep each Printer stored in the warehouse. If a customer cannot purchase a Printer when it is requested, the customer will not wait until one comes in but will go to a competitor. The following probability distribution for demand for Printer has been determined: Questions 1.Simulate CWD 's ordering and sales policy for 20 weeks 2. Compute the average cost of the policy PLEASE NOTE I SENT THIS IN ALREADY BUT I REALIZED I LEFT OUT SOME VITAL INFORMATION AND AGAIN THIS IS NOT FROM ANOTHER SITE.