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- Bruce Corporation makes four products in a single facility. These products have the following unit product costs: Products Direct materials Direct labor Variable manufacturing overhead Fixed manufacturing overhead Unit product cost Additional data concerning these products are listed below. A B C $15.30 $ 11.20 $12.00 20.40 28.40 34.60 3.70 3.60 4.20 35.80 27.60 38.20 $79.10 $ 77.80 $ 95.40 5.30 27.50 $ 68.50 Multiple Choice A 4.80 $77.10 $ 3.20 5,000 D $11.60 41.40 Products C D 4.40 5.30 $88.40 $ 105.20 $ 4.30 $ 2.60 4,000 3,000 Grinding minutes per unit B 6.30 $ 94.50 $ 2.20 Selling price per unit Variable selling cost per unit Monthly demand in units 5,000 The grinding machines are potentially the constraint in the production facility. A total of 89,600 minutes are available per month on these machines. Direct labor is a variable cost in this company. Up to how much should the company be willing to pay for one additional minute of grinding machine time if the company has made the…Accompany makes two products (1&2) each product requires time on two machines (A&B). specification for each product is as follows. Product1 product2 Processing time on Machine A (hrs/unit) 2 2 Processing time on Machine B (hrs/unit) 1 2 Material and labour cost ( ksh/unit) 14 15 Selling price (ksh/unit) 16 18 Maximum possible sale (units) 130 150 The amount of time available on machine A is 360 hours and on machine B is 260 hours. Formulate the linear programme which, when…Tuff-Rider, Inc., manufactures touring bikes and mountainbikes in a variety of frame sizes, colors, and component com-binations. Identical bicycles are produced in lots of 100. Theprojected demand, lot size, and time standards are shown inthe following table: Item Touring MountainDemand forecast 5,000 units/year 10,000 units/yearLot size 100 units 100 unitsStandard processing time .25 hour/unit .50 hour/unitStandard setup time 2 hours/lot 3 hours/lot The shop currently works 8 hours a day, 5 days a week,50 weeks a year. It operates five workstations, each producingone bicycle in the time shown in the table. The shop main-tains a 15 percent capacity cushion. How many workstationswill be required next year to meet expected demand withoutusing overtime and without decreasing the firm’s currentcapacity cushion?
- 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…The Ace Manufacturing Company has orders for three similar products. Orders (units) Product Min A s.t. B с 1 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. Machine 2 3 LB A C B с 1 Product 112₂ 3 Machine 1 Capacity Machine 2 Capacity Machine 3 Capacity 2,200 Product A Orders Product C Orders 400 xij≥0 for all i, j. 1,400 Product B Orders Capacity (units) 1,500 1,500 Use the transportation model to develop the minimum cost production schedule for the products and machines. (a) Show the linear programming formulation. (Let XA1 be the number of units of product A produced by machine 1, X;; be the number of units of product i produced by machine j, etc.) 1,100 $1.00 $1.30 $1.10 1 $1.20…Problem 7-13 (Algo) Owen Conner works part-time packaging software for a local distribution company in Indiana. The annual fixed cost is $15,000 for this process, direct labor is $4.00 per package, and material is $4.75 per package. The selling price will be $15.00 per package. a. How much revenue do we need to take in before breaking even? (Round your answer to the nearest dollar amount.) Break-even point b. What is the break-even point in units? (Do not round intermediate calculations. Roundup your answer to the next whole number.) Break-even point units
- 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 M-N plant manufactures two different products: M and N. Selling prices and weekly market demands are shown in the following diagram. Each product uses raw materials with costs as shown. The plant has three different machines: A, B, and C. Each performs different tasks and can work on only one unit of material at a time. Resources: A, B, C (one each) Availability: 3,800 min./week Operating expense: $12,000/week Product M $190/unit 120 units/week Machine A Machine C Machine B 15 min./unit A 20 min./unit RM-1 $60/unit Product N $200/unit 80 units/week 15 min./unit B 10 min./unit RM-2 $40/unit B 10 min./unit RM-3 $40/unit Process times for each task are shown in the diagram. Each machine is available 3,800 minutes per week. There are no "Murphys" (major opportunities for the system to foul up). Setup and transfer times are zero. Demand is constant. Operating expenses (including labor) total a constant $12,000 per week. Raw materials are not included in weekly operating expenses. a.…Charles Lackey operates a bakery in Idaho Falls, Idaho. Because of its excellent product and excellent location, demand has increased by 5555% in the last year. On far too many occasions, customers have not been able to purchase the bread of their choice. Because of the size of the store, no new ovens can be added. At a staff meeting, one employee suggested ways to load the ovens differently so that more loaves of bread can be baked at one time. This new process will require that the ovens be loaded by hand, requiring additional manpower. This is the only production change that will be made in order to meet the increased demand. The bakery currently makes 1,800 loaves per month. Employees are paid $8 per hour. In addition to the labor cost, Charles also has a constant utility cost per month of $800 and a per loaf ingredient cost of $0.35 Current multifactor productivity for 640 work hours per month =0.27loaves/dollar (round your response to three decimal places).
- 9. The Ace Manufacturing Company has orders for three similar products: Orders Product (units) A 2000 500 1200 B C Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect per- centages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are as follows: Сараcity (units) Product Machine Machine A в C 1500 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20 1 1500 1000 3 Use the transportation model to develop the minimum cost production schedule for the products and machines. Show the linear programming formulation. 123Problem 4: Non-Slip Tile Company (NST) has been using production runs of 100,000 tiles, 10 times per year to meet the demand of 1,000,000 tiles annually. The set-up cost is $5,000 per run and holding cost is estimated at 10% of the manufacturing cost of $1 per tile. The production capacity of the machine is 500,000 tiles per month. a. Rewrite the inputs using standard notations (D, P, ...) b. Calculate the optimal production lot size. c. How much is NST losing annually with their current production schedule, comparing with the optimal production lot size?3.4-15. The Weigelt Corporation has three branch plants with ex- cess production capacity. Fortunately, the corporation has a new product ready to begin production, and all three plants have this capability, so some of the excess capacity can be used in this way. This product can be made in three sizes-large, medium, and