Required: • Set up the linear programming model. • Determine the product mix that produces the maximum profit for RDL corporation using: - Graphical Solution Method > Simplex Method
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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.Electro Fans has j ust received an order for one thousand 20-inch fans d ue week 7. Each fan consists of a housing assembly, two grill s, a fan assembly, and an electrical unit.The housing assembly consists of a frame, two supports, and a handle. The fan assembly consists of a hub and five blades. The electrical unit consists of a motor, a switch, and a knob.The following ta ble gives lead times, on-hand inventory, and scheduled receipts.a) Construct a product structure.b) Construct a time-phased product structure.c) Prepare a net material requirements plan.Workshape Manufacturing has two classes of distributors: JIT distributors and non-JIT distributors. The JIT distributor places small, frequent orders, and the non-JIT distributor tends to place larger, less frequent orders. Both types of distributors purchase the same product. The customer activities and costs for the previous quarter are as follows: Activity JIT distributors Non-JIT distributors Sales Orders 500 30 Sales Calls 30 30 Service Calls 200 90 Average Order Size 90 1,400 Manufacturing Cost/Unit $50 $50 Customer Costs: Processing Sales Orders $160,000 Selling Goods $155,000 Servicing Goods $195,000 Total $500,000 Calculate the activity rate for selling goods. (Note: Round answer to two decimal places.) a.$2,200.50 per sales call b.$9,400.60 per sales call c.$3,550.66 per sales call d.$2,583.33 per sales call e.$4,800.40 per sales call
- ) 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?Job Costing Johnson Inc. is a job-order manufacturing company that uses a predetermined overhead ratebased on direct labor hours to apply overhead to individual jobs. For the current year, estimated direct laborhours are 95,000 and estimated factory overhead is $617,500. The following information is for Septemberof the current year. Job A was completed during September, and Job B was started but not finished.[LO 4-3, 4-4, 4-5]September 1, InventoriesMaterials Inventory $ 7,500Work-in-Process Inventory (All Job A) 31,200Finished Goods Inventory 67,000Material purchases 104,000Direct materials requisitionedJob A 65,000Job B 33,500Direct labor hoursJob A 4,200Job B 3,500Labor costs incurredDirect labor ($8.50/hour) 65,450Indirect labor 13,500Supervisory salaries 6,000Rental costsFactory 7,000Administrative offices 1,800Total equipment depreciation costsFactory 7,500Administrative offices 1,600Indirect materials used 12,000Required1. What is the total cost of Job A?2. What is the total…A machine shop has an order for 12 000 pcs of a machine part that requires anti-corrosive properties. Chromium steel alloy that cost Php. 95.00/kg or Nickel steel alloy that cost Php. 65.00/kg may be used. The weight per piece, production rate per day and tool bit replacement cost for Cr-alloy are: 0.25 kg, 75 pcs and Php. 1 600.00 for every 400 pcs produced. The respective date for Ni-alloy are 0.3 kg, 50 pcs and Php. 1 800.00 for every 300 pcs produced. If the charge for the labor and other operating cost is Php. 450.00/day, with all other expenses being the same, determine which material should be used.
- 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.)A toy car is composed of a body assembly and four wheels. The body assembly includes a hood, a top, a base, two sides, and a trunk. Inventories and lead times for each part are shown below. 675 toy cars are needed for an order in week 12. Part Inventory Lead Time (weeks) Toy car 100 2 Body assembly 175 4 Hood 100 3 Top 100 2 Base 175 4 Side 150 3 Trunk 300 2 Wheels 575 3 A. The net requirement for bodies is ___ units in week ___. B. In the toy car example above, the planned order release for sides is ___ units in week ___. C. In the toy car example above, the planned order release for wheels is ___ units in week ___. D. In the toy car example above, the planned order release for wheels is ___ units in week ___.Wine Accessories Inc. (WAI) produces two models of corkscrews, the standard model and a deluxe model. WAI follows a level aggregate plan, producing 20,000 corkscrews per month, or 5000 corkscrews per week. Th e MPS is developed in weekly time periods. Th e forecasts for each model and the projected available are shown in the next two tables. Th e replenishment order quantity is 2000 units for the standard model and 1000 units for the deluxe model. Note that you can place multipleorders if a single order is insuffi cient to cover the forecast (you can produce 4000 units of the standard model if necessary, or 2000 or 3000 units of the deluxe model). Remember that total weekly production is limited to 5000 corkscrews. Develop an MPS for each of the products.
- Management at the Kerby Corporation has determined the following aggregated demand schedule (in units):Month 1 2 3 4Demand 500 800 1,000 1,400Month 5 6 7 8Demand 2,000 3,000 2,700 1,500Month 9 10 11 12Demand 1,400 1,500 2,000 1,200An employee can produce an average of 10 units per month. Each worker on the payroll costs $2,000 in regular-time wages per month. Undertime is paid at the same rate as regular time. In accordance with the labor contract in force, Kerby Corporation does not work overtime or use subcontracting. Kerby can hire and train a new employee for $2,000 and lay off one for $500. Inventory costs $32 per unit on hand at the end of each month. At present, 140 employees are on the payroll and anticipation inventory is zero.a. Prepare a production plan that only uses a level workforce and anticipation inventory as its supply options. Minimize the inventory left over at the end of the year. Layoffs, undertime, vacations, subcontracting, backorders, and stockouts are not…PROBLEM-2 XYZ Company manufactures a number of products. One important product is Q. which consists of two internally manufactured items Rand S as in the figure below: R (1 Piece) ITEM Q R S Item Q is assembled in an assembly station, A 10; Item R is in work center WC 30, and item S is manufactured in work center WC 70. Operation data for product Q and items R and S are shown in the table: ITEM Q Week Gross Requirements Lot size Lot for lot 50 150 1 40 Q Work Center 2 80 A 10 WC 30 WC 70 3 40 S (3 Pieces) 4 30 Setup time (Hrs) 0 3.0 2.0 5 40 6 30 Runtime per piece Lead Time (weeks) (Hrs) 1.7 1.0 1.0 1 1 1 1 Determine "capacity requirements planning" stated for product Q in the work centers A 10, WC 30, and W 70 for the next weeks on the basis of material requirements planning carried out.Item4 Time Remaining 2 hours 53 minutes 2 seconds 02:53:02 eBookReferences Item 4 Time Remaining 2 hours 53 minutes 2 seconds 02:53:02 The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R) and sassafras soda (S). There are at most 12 hours per day of production time and 1,500 gallons per day of carbonated water available. 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. The firm’s goal is to maximize profits. What is the time constraint? rev: 09_21_2020_QC_CS-229783 Multiple Choice 5R + 5S ≤ 720. 3R + 5S ≤ 720. 2R + 5S ≤ 720. 3R + 2S ≤ 720. 2R + 3S ≤ 720.