earch The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R) and sassafras soda (5). Two resources are constrained: production time (T), of which she has at most 12 hours per day, and carbonated water (W), of which she can get at most 1,500 gallons per day. A case of root beer requires 2 minutes of time and 5 gallons of water to produce, while a case of sassafras soda requires 3 minutes of time and 5 gallons of water. Profits for the root beer are $6.00 per case, and profits for the sassafras soda are $4.00 per case. What is the production time constraint (in minutes)? Multiple Choice 5R-5S-720 3R-25 720 3R-55 720 2R-55 720 2R-3S≤720 2 < Prev 23 of 38 Next > 77°F Windy
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- The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.You are required to implement the production level method for the following scenario. Four products, each a different colour, are manufactured over one week in a production facility. . You need to manufacture 1500 blue, 750 red, 750 green and 1000 yellow products per week. The plant works 2 shifts per day, 5 days a week. How many of each product should be produced each day? 600 blue, 300 red, 300 green, 400 yellow 300 blue, 150 red, 150 green, 200 yellow 800 per day 150 blue, 75 red, 75 green, 100 yellow) The following data have been prepared for master production scheduling purposes in IKEA Australia: End product A: Beginning inventory of 60, Period forecast of 10, Lot size of 30, and 30 hours in lot size. End product B: Beginning inventory of 20, Period forecast of 5, Lot size of 20, and 20 hours in lot size. End product C: Beginning inventory of 30, Period forecast of 15, Lot size of 50, and 50 hours in lot size. Capacity: 38 hours/ week (i) Prepare the master production schedule for these items during the next four periods using the Ethan Allen master production scheduling method. (ii) Suppose that the master production schedule is frozen for the next three periods. What specific impact would the policy have on the IKEA's performance?
- Cara Ryder manages a ski school in a large resort and is try-ing to develop a schedule for instructors. The instructorsreceive little salary and work just enough to earn room andboard. They receive free skiing and spend most of their freetime tackling the resort’s notorious double black-diamondslopes. Hence, the instructors work only 4 days a week. Oneof the lesson packages offered at the resort is a 4-day begin-ner package. Ryder likes to keep the same instructor with agroup over the 4-day period, so she schedules the instructorsfor 4 consecutive days and then 3 days off. Ryder uses years ofexperience with demand forecasts provided by managementto formulate her instructor requirements for the upcomingmonth.a. Determine how many instructors Ryder needs to employ.Give preference to Saturday and Sunday off. (Hint: Lookfor the group of 3 days with the lowest requirements.)b. Specify the work schedule for each employee. How muchslack does your schedule generate for each day?Tuff-Rider, Inc., manufactures touring bikes and mountain bikes in a variety of frame sizes, colors, and component combinations. Identical bicycles are produced in lots of 100. The projected demand, lot size, and time standards are shown in the following table: Item Touring Mountain Demand forecast Lot size Standard processing time Standard setup time 5,000 units/year 100 units .25 hour/unit 2 hours/lot 10,000 units/year 100 units .50 hour/unit 3 hours/lot The shop currently works 8 hours a day, 5 days a week, 50 weeks a year. It operates five workstations, each producing one bicycle in the time shown in the table. The shop maintains a 15 percent capacity cushion. How many workstations will be required next year to meet expected demand without using overtime and without decreasing the firm’s current capacity cushion?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…
- The Ace Manufacturing Company has orders for three similar products. Product A Min B C 1 2 Machine 3 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. A A B B Ic C Product 1 12 3 Orders (units) 1,900 500 1,100 Capacity (units) 1,300 1,600 800 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20 (a) Develop the linear programming formulation of this problem. (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.)Illinois Furniture, Inc., produces all types of office furniture. The "Executive Secretary" is a chair that has been designed using ergonomics to provide comfort during long work hours. The chair sells for $130. There are 480 minutes available during the day, and the average daily demand has been 48 chairs. There are eight tasks: Task A BCDEFGH с Performance Time (mins) 5 8 ∞ CO CO LO ∞0 co 6 6 5 8 7 6 This exercise only contains part a. a) The correct precedence diagram is present in Task Must Follow Task Listed Below A, B C D E E F, G Figure 1 @ Figure 2 Figure 3 Go-0-0.80A company with a capacity of 3,000 units a month has fixed costs of P1,500 a month and labor costs of P10 a unit. Material costs are P5 per unit. The company has been producing at 80 percent of capacity and selling its product for P20. 1What would its net income be at 100 percent at capacity 1.2What would its net income be at 120 percent of capacity if it is assumed that 20 percent more products could be produced on overtime at an extra P3 labor cost per unit for all production above 100 percent?
- Because of its labor contract, a company must hire enough labor for 100 units ofproduction per week on one shift or 200 units per week on two shifts. It cannot hire,lay off, or assign overtime. During the fourth week, workers will be available fromanother department to work part or all of an extra shift (up to 100 units). There is aplanned shutdown for maintenance in the second week, which will cut production tohalf. Develop a production plan. The opening inventory is 200 units, and the desiredending inventory is 300 unitsTuff-Rider, Inc., manufactures touring bikes and mountain bikes in a variety of frame sizes, colors, and component combinations. Identical bicycles are produced in lots of 110. The projected demand, lot size, and time standards are shown in the following table: Item Touring Mountain Demand forecast 4,000 units/year 12,000 units/year Lot size 100 units 110 units Standard processing time 0.25 hour/unit 0.50 hour/unit Standard setup time 2 hours/lot 3 hours/lot The shop currently works 8 hours a day, 5 days a week, 52 weeks a year. It operates five workstations, each producing one bicycle in the time shown in the table. The shop maintains a 15 percent capacity cushion. How many workstations will be required next year to meet expected demand without using overtime and without decreasing the firm's current capacity cushion? The number of workstations required next year is ?(Enter your response rounded up to the next whole number.)The XYZ company produces all type of office furniture. The “Executive Secretary” is a chair that has been designed using ergonomics to provide comfort during long office hours. The chair sells for $130. There are 480 minutes available during the day, and the average daily demand has been 50 chairs. There are eight tasks; Task Time (min) Immediate predecessor A 4 - B 7 - C 6 A, B D 5 C E 6 D F 7 E G 8 E I 6 F, G a) Draw a precedence diagram of this operation b) What is the cycle time for this operation? c) What is the theoretical minimum number of workstations? d) Assign tasks to the workstations e) What is the idle time per cycle? f) What is the efficiency of the assembly line?