A wood products firm uses available time at the end of each week to make goods for stock. Cur- rently, two products on the list of items are produced for stock: a chopping board and a knife holder. Both items require three operations: cutting, gluing, and finishing. The manager of the firm has collected the following data on these products: TIME PER UNIT (minutes) Item Chopping board Knife holder Profit/Unit $2 $6 Cutting 1.4 0.8 Gluing 5 13 Finishing 12 3 The manager has also determined that, during each week, 56 minutes are available for cutting, 650 minutes are available for gluing, and 360 minutes are available for finishing. a. Determine the optimal quantities of the decision variables. b. Which resources are not completely used by your solution? How much of each resource is unused?
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- The management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labor availability, labor utilization, and product profitability: Labor-Hours Required Department A B с (hours/unit) Product 1 Product 2 Hours Available Production 1.00 0.30 Profit contribution/unit $30.00 0.20 38.27 0.35 0.20 0.50 $15.00 (a) Develop a linear programming model of the Hartman Company problem. Solve the model to determine the optimal production quantities of products 1 and 2. If required, round your answer to two decimal places. Product 1 Product 2 69.77 M 95 72.09 38 50 (b) In computing the profit contribution per unit, management does not deduct labor costs because they are considered fixed for the upcoming planning period. However, suppose that overtime can be scheduled in some of the departments. Which departments would you recommend scheduling for overtime? Dept A What is the upper limit of what…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?B. Product Yield. Record the following data and compute for the product yield. Weight of meat before processing 1.00 kg Weight of finished product (tocino) 1.25 kg Product Yield
- 1. Foxie Owl’s Besty Bagel shop makes fresh bagels. She has to buy raw materials fresh every day for selling on that day. She wants to know exactly how much should she spend on raw materials. Foxie did some analysis over the past month and came back with the following numbers: Daily demand was equally likely to be 200, 225, 250, 275, or 300 bagels. What should be the number of bagels on hand to satisfy a Fill Rate requirement of 96%, rounded to next integer value? Group of answer choices 300 275 286 263 2. Suppose that instead of a discrete demand distribution, Foxie’s shop determines that the daily demand for bagels is normally distributed, with a mean of 250 and a standard deviation of 35. Foxie still wants a Fill Rate of 98%. What is the appropriate level of on-hand inventory for Foxie’s shop? Group of answer choices 263 274 257 2702 3. The seven-person maintenance function at a hospital performs both preventive and corrective maintenance on hundreds of items each month. All the workers are scheduled for 40 hours per week and there are four weeks in a month. It is the gool of the maintenance deportment to achieve 90% utilization with a mix of two-thirds preventive maintenance and one-third corrective moaintenance. How many hours each month are spent performing corrective maintenance if they achieve their 90% utilization and correct/preventive mix targets?pleqse solve the question 2 here using the information in question 1
- 4. The Spencer Optics Company produces an inexpensive line of sunglasses. The manufacturing process consists of assembling two plastic lenses (produced by the firm's plastic molding depart- ment) into a finished frame (purchased from an outside supplier). The company is interested in using material requirements planning to schedule its operations and has asked you to prepare an example to illustrate the technique. The firm's sales manager has prepared a 10-week sales forecast for one of the more popular sunglasses (the Classic model) for your example. The forecast is 100 units per week. Spencer has customer orders of 110 units, 80 units, 50 units, and 20 units in weeks 1, 2, 3, and 4, respectively. The sunglasses are assembled in batches of 300 units. Presently, three such batches are sched- uled: one in week 2, one in week 5, and one in week 8. Complete the following time-phased record: Week hand 1 2 3 4 5 6 7 8 9 10 Classic Model On MPS Record Forecast Orders Projected available…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…. Case: Flamingo Educational Services Flamingo Educational Services, a company located in the Tema metropolis, is a nationwide market leader in the publishing and distribution of textbooks for first and second cycle schools. Somehow, Flamingo does not use forecasts for production planning. Instead, the operations manager decides which books to produce and the batch size, based on orders and the amounts in inventory. The books that have the fewest amounts in inventory get the highest priority. Demand is uneven, and the company has experienced being overstocked on some items and out of others. Being under-stocked has occasionally created tensions with managers of the retail bookstores the company works with. Flamingo is on the verge of losing a lucrative contract with the Ghana Education Service over a complaint that the books produced over the last four months have defective binding as well as slight but noticeable variations in print quality and sizes of 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…er A product line includes 8 different product styles, each consisting of 93 components. Assume that 9 processing operations are needed to produce each component on average with each operation taking an average 1.2 min, which includes setup time and part handling time. All operations need a production machine, and currently 25 machines are dedicated to this task. The plant operates 52 hours per week, 52 weeks a year. Determine the yearly production of each style in units (round downward). 63 504why we find order statistics? explain in your own words