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- A garment manufacturing has already finishedgarments to iron/press in order to prepare for selling them in the market. There aretwo kinds of garments, namely: poloshirt and t-shirts. Poloshirt is to be sold atP200 per piece while t-shirt at P50 each. Ironing/pressing one piece of polotshirttakes 30 minutes while t-shirt takes 12 minutes. The owner of the garment factoryhas a total of 7 finishing workers, who each works 8 hours per day. Four (4) ofwhich are assigned as pressers and three (3) as packagers. For one day, theowner would like to maximize his profit.Using linear programming, determine how many pieces of poloshirts and howmany pieces of t-shirts should be sold in the market in day in order to maximizethe profit. In line with your answer on the number of pieces of poloshirts andnumber of pieces of t-shirts to be sold in the market, compute for the profit.Select the best answer from the choices enumerated below.You may use linear equations and/or inequalities to arrive at the…Currently they have 5 refrigerated trucks and planning to expand as market for their services ison the rise. The fixed cost of their operations is $1,200,000 per year covering managerial,administrative, insurance, and other related expenses at their headquarters. Every truck hasapproximately $100,000 annual expense for lease, maintenance, and insurance. The variablecost of operation for each truck is $3.50 per mile covering fuel and truck driver’s pay. Themaximum mileage capacity of each truck is 200,000 miles per year and current demand is1,000,000 miles per year. The company charges $10.00 per mile for a fully loaded truckshipment. Construct an Excel cross tabulation table to find profit for this company using 6 to 14trucks and mileage demand of 1,000,000, 1,500,000, 2,000,000, 2,500,000, 3,000,000, and3,500,000 miles per year. Based on the table find the optimal number of trucks needed for abovelisted mileage demands.A manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Customer (requirement) Factory (capacity) Customer 1 (125) Customer 2 (150) Customer 3 (175) Customer 4 (75) A (100) $ 15 $ 10 $ 20 $ 17 B (75) $ 20 $ 12 $ 19 $ 20 C (100) $ 22 $ 20 $ 25 $ 14 D (250) $ 21 $ 15 $ 28 $ 12 How many arcs will the network have?
- Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here: Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3 Hours required to complete all the oak cabinets 50 44 32 Hours required to complete all the cherry cabinets 61 46 34 Hours available 35 25 30 Cost per hour $36 $43 $56 For example, Cabinetmaker 1 estimates that it will take 50 hours to complete all the oak cabinets and 61 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 35 hours available for the final…Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here: Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3 Hours required to complete all the oak cabinets 47 40 27 Hours required to complete all the cherry cabinets 64 51 36 Hours available 40 30 35 Cost per hour $34 $41 $52 For example, Cabinetmaker 1 estimates it will take 47 hours to complete all the oak cabinets and 64 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 40 hours available for the final…Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here: Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3 Hours required to complete all the oak cabinets 50 44 32 Hours required to complete all the cherry cabinets 61 46 34 Hours available 35 25 30 Cost per hour $36 $43 $56 For example, Cabinetmaker 1 estimates that it will take 50 hours to complete all the oak cabinets and 61 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 35 hours available for the final…
- Kofi Abebrese runs a small industrial company that specialize in the production of high standard windows for housing estates. A worker is paid GH¢0.9 per hour and can produce two window with an hour. Each window uses a frame costing GH¢1 and incur a variable overheads of GH¢0.7. Each window sells for GH¢3. Currently, due to the economic condition, work is rather slack and three employees are occupied in carrying out extensive repairs to Kofi Abebrese's own house. Kofi owns a warehouse next to the factory, which had been used as a factory store, in the past. It is now let out on a renewable annual lease of GH¢600. A new building company, Allied Consult, which specializes in the production of prefabricated houses has asked Kofi if he would be interested in accepting a contract for GH¢30,000 which will be for a year initially, to produced molded internal building sections. Kofi estimates that, the contract will take 13,200 hours of works, or the work of five men for a year, and that…A recruiter for a job placement agency is considering whether to pay $50,000 per year to lease a new recruiting facility in a prime location in Washington D. C. He estimates it will cost $50 per recruit to process the paperwork at this new location. He receives a $75 commission for each new recruit he processes. Part A - If the office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and 6,000 recruits will be processed per year, what will be the utilization of the office space?Part B - If his office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and he plans to be 90% efficient in his use of this space, how many recruits does he plan to process per year?Suppose a chef ices and decorates cupcakes in batches of 100. Each batch requires 30 minutes to setup the equipment, and each cupcake in the batch takes 2 minutes to process. What is the throughput capacity (in cupcakes and/or minutes)? Pick the closest answer. Group of answer choices a .5 b 1 c 1.5 d 2 e 2.5 f 3
- A gold mining area in Lanao contains on average, 1 ounce of gold per ton. Two methods of processing are available; method A costs ₱1.5 M per ton and recovers 90% of gold; method B cost ₱1.3M per ton and recovers 80% of the gold. If gold can be sold for ₱2.4M per ounce, which method is better and by how much?Based on the following sensitivity report, how much should the firm be willing to pay for 53 more units of Resource_C? Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 5 2 1E+30 $B$3 Product_2 175 0 7 1E+30 1 $B$4 Product_3 0 −1.5 9 1.5 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 80 $H$10 Resource_B 525 0 800 1E+30 270 $H$11 Resource_C 700 1.11 700 180 75 (Round your answer to 2 decimal places.) Units of resources CSupertronics, Inc., would like to know how the firm’s profit-ability is altered by product mix. Currently, product mix isdetermined by giving priority to the product with the highestper-unit contribution margin (defined as the difference be-tween price and material cost). Details on the Supertronicsproduct line, including processing time at each workstation,follow:a. Assume that Supertronics has 5,500 minutes of capacityavailable at each workstation each week. Develop a linearprogram to define the production mix that maximizescontribution margin.b. Solve your formulation using a computer package such asPOM for Windows. c. Given your solution for part (b), which machine is thebottleneck?d. How would your formulation and solution in part(b) change if 50 units of each product were alreadycommitted to customers and thereby had to beproduced?