Klein Chemicals, Inc., produces a special oil-based material that is currently in short supply. Four of Klein's customers have already placed orders that together exceed the combinedcapacity of Klein's two plants. Klein's management faces the problem of deciding how many units it should supply to each customer. Because the four customers are in different industries,different prices can be charged because of the various industry pricing structures. However, slightly different production costs at the two plants and varying transportation costs betweenthe plants and customers make a "sell to the highest bidder" strategy unacceptable. After considering price, production costs, and transportation costs, Klein established the followingprofit per unit for each plant-customer alternative.PlantClifton SpringsDanvillePlantClifton Springs2DanvilleD₁D3D₂$32 $34 $32 $40$38$34 $30 $28The plant capacities and customer orders are as follows.CustomerCapacity (units)5,0003,000344Distributor Orders (units)D1D₂D3D42,0005,0003,0002,000 (ii) linear programming formulationLetXij; = number of units i shipped to client j, using the indices from the given table. (It may be necessary to combine plants or distributors in a single node in order to solvethis problem. Use index number 5 for this type of node. Enter "DNE" in any unused answer blanks.)Maxs.t.Orders from Clifton SpringsOrders from DanvilleOrders from/for Dummy NodeOrders for D₁Orders for D2Orders for D3Orders for D4Xij ≥ 0 for all i, j.

Linear programming is a mathematical technique that is also used in operations management…

Answered: (ii) linear programming formulation Let…

Practical Management Science

6th Edition

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Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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NOTE: The answer of this question should be limited to ONE page of writing with reasonable size of fonts. The provincial government plans to distribute certain types of vaccines to the 3 major urban centers of the province covering a large portion of the provincial population. The 5 million doses of vaccines are expected to arrive in large batches at one of the major cargo airports by 2 military transporter airplanes in a single day. The vaccines will then be distributed to the 3 cities with the number of doses corresponding to the population sizes of the 3 cities. They will be further distributed to the 20 hospitals and about 200 local clinics in these 3 cities. Officials of the provincial health agency must plan for the upcoming vaccine distribution. Assume that you are asked to suggest several methods/tools in Industrial Engineering and Operations Research you have learned from this course. Present 3 such methods and for EACH of these methods, briefly explain: 6.1) For solving which…
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Which statement regarding Time-Cost Models tradeoffs is true? Crashing a project reduces the duration of noncritical activities Projects with multiple critical paths cannot be crashed The crash time of an activity exceeds the normal time of the activity To crash a project, costs are increased on critical activities to reduce their duration Noncritical activities cannot become critical after crashing
33 White & Becker Tools (W&B) requires 2,000 elec- tric motors next month for its product line of weed trimmers. Each motor is composed of three com- ponents: a coil, a shaft, and housing. W&B has the capability to produce these components or purchase them from an outside vendor. The costs of produc- ing them and purchasing them are shown in the following table. COMPONENT Coil Shaft Housing DEPART- MENT PRODUCTION COST PER UNIT Fabrication 0.5 Molding 0.4 Inspection 0.2 $2.60 $1.80 $1.40 The components that are produced by W&B must pass through three departments: fabrication, molding, and inspection. The number of hours each component requires in each department and the total number of hours available next month in each department are shown in the following table: 0.2 0.7 0.3 PURCHASE COST PER UNIT COIL SHAFT HOUSING AVAILABILITY (HR.) (HR.) (HR.) (HR.) $3.12 $2.16 $1.68 0.6 0.3 0.4 3,000 3,000 1,800 In order to determine the number of components that will be produced and the number…
L.P. Model: Minimize Subject to: Z = 15X+12Y 7X+11Y288 (C₂) (C₂) 16X+4Y280 X,Y 20 On the graph on right, constraints, C, and C₂ have been drawn. Using the point drawing tool, plot all the corner points for the feasible area. 24- 22- 20- 18- 16- 14- 12- 10 8- 64 4- 2- -N 10 12 14 16 18 20 22 24 X C G
The Hickory Company manufactures wooden desks. Management schedules overtime every weekend to reduce the backlog on the most popular models. The automatic routing machine is used to cut certain types of edges on the desktops. The following orders need to be scheduled for the routing machine: Order Time SinceOrder Arrived(hours ago) EstimatedMachineTime (hours) Due Date(hours fromnow) 1 2 3 4 5 6 5 3 1 0 10 3 15 9 7 12 8 18 20 21 The due dates reflect the need for the order to be at its next operation.a. Develop separate schedules by using the FCFS and EDD rules. Compare the schedules on the basis of average flow time and average past due hours.b. Comment on the performance of the two rules relative to these measures.
L.P. Model: Minimize Subject to: Z = 24X + 15Y 7X+11Y 288 16X+4Y≥64 X,Y 20 On the graph on right, constraints C, and C, have been drawn. Using the point drawing tool, plot all the corner points for the feasible area. (C₁) (C₂) 24- 22- 20- 18- 16- 14- 12- 104 8 6- 4- 2- 0+ 0 2 4 6 8 10 12 14 16 18 20 22 24 X Q S
allons of deionized water from each wholesaler to each distribution center is shown in the following table: Question Viewer a. Which of the following statements regarding setting up the tableau for the optimal solution for this problem is true? B. The sum of supply capacities is greater than the sum of demands, so a dummy distribution center is needed. C. The sum of supply capacities is less than the sum of demands, so a dummy wholesaler is needed. b. What is the total cost of the solution? The optimal cost is $ ((Enter your response rounded to the nearest dollar.)
Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 925 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table. Model Max Regular model Catcher's model s.t. cutting and sewing finishing packaging and shipping R, C20 Cutting and Sewing Finishing 1 ²3 Production Time (hours) 1 gloves gloves 1 Assuming that the company is interested in maximizing the total profit contribution, answer the following. (a) What is the linear programming model for this problem? (Assume R is the number of units of regular model gloves and C is the number of units of catcher's model gloves.) Packaging and Profit/Glove Shipping 1 $3 $5 (b) Find the optimal solution using the graphical solution…

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