Consider the transportation problem having the cost and requirement tablea. Write the linear programming model for this problem.b. Use the Excel Solver to find the optimal solution.c. Draw a network showing the quantities obtained and the optimal value of z.Interpret the result.below.1924Demand 30Source123Destination2376433835 204 Supply450105010 3030525

a. Let S represent Source and D represent destination

Answered: Consider the transportation problem…

Practical Management Science

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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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Here is the initial tableau (by the NorthWest method) of a Min transportation problem. 1 2 3 Demand 19 Dual(v) 1 15 9 S1: 11 10 14 0 S2: 0 S3: B 0 B 3 N 15 Demanders 2 8 0 9 12 188 15 9 21 5 N 0 B 0 B 13 10 8 8 20 3 0 20 -4 N -6 N 0 B 17 7 5 4 0 0 1 -14 N -8 N 0 B Supply Dual(u) 0 (188 188 188 188 Using the Loop method fill in the values of the next tableau Each 2x2 matrix is the relevant square in the tableau. 9 (For grading convenience, in bottom right corner of each box use 1 for "B" and 0 for "N") 22 188 188 188 30 -4 2
i ABC A.Ş., which produces white goods, has sales centers (X, Y, Z) in 3 cities and production centers (A, B, C) in 3 cities. White goods orders of sales centers200, 100 and 300, respectively; The capacities of the production centers are 150, 175 and 275, respectively. The transportation cost of one product sent from each production center to each sales center is given in the table below. X Y ZA 6 8 10B 7 11 11C 4 5 12In order to meet the demands of each sales center in line with the capacities with the least cost;Build the linear programming model of the problem.(Hint: You can define the decision variable as xij: the amount of product sent from the i. Production center to the j. Consumption center.)
The following table represents the cost to ship from Distribution Center 1, 2, or 3 to Customer A, B, or C. Is this a "balanced" or "unbalanced" model? Customer B 6 DC 1 2 3 Demand. Obalanced. A 4 5 3 200 2 5 350 unbalanced O not enough information. O equal sources and destinations C 8 7 9 400 Supply 500 400 300
A renowned chocolatier, Francesco Schroeder, makes three kinds of chocolate confectionery: artisanal truffles, handcrafted chocolate nuggets, and premium gourmet chocolate bars. He uses the highest quality of cacao butter, dairy cream, and honey as the main Ingredients. Francesco makes his chocolates each morning, and they are usually sold out by the early afternoon. For a pound of artisanal truffles, Francesco uses 1 cup of cacao butter, 1 cup of honey, and 1/2 cup of cream. The handcrafted nuggets are milk chocolate and take 1/2 cup of cacao, 2/3 cup of honey, and 2/3 cup of cream for each pound. Each pound of the chocolate bars uses 1 cup of cacao butter, 1/2 cup of honey, and 1/2 cup of cream. One pound of truffles, nuggets, and chocolate bars can be purchased for $35, $25, and $20, respectively. A local store places a daily order of 10 pounds of chocolate nuggets, which means that Francesco needs to make at least 10 pounds of the chocolate nuggets each day. Before sunrise each…
2. By using the data below, use a transportation method to : COST in $ Assembly Plant Supply 210 Factory 2 A 8 9 400 10 6 12 8 190 Demand 120 620 60 A. Formulate this linear programming model B. If you are using VAM and NorthWest corner method, which solution is the best and how much is the best total cost ?
Aa6. please solve with formulas not excell
14. Toyco produces a line of Bonnie dolls and accessories at its plants in New York and Baltimore that must be shipped to distribution centers in Chicago and Los Angeles. The company uses Air Freight, Ic., to make its shipments. Suppose that it can ship directly or through Pittsburgh and Denver. The daily production rates at the plants are respectively 5,000 and 7,000 units daily, and the demands at the dis- tribution centers are respectively 3,500 and 8,500 units daily. The costs of shipping 1,000 units are given in the following table. Find the optimal shipping routes and the associated cost. то Pittsburgh Denver Chicago Los Angeles $182 77 F New York Baltimore $375 290 275 $285 245 125 $460 575 380 R Pittsburgh M Denver 90 110
Paragraph D F S A 3 8 600 B 5 7 9 400 C 4 4 4 700 Styles 1- Find initial feasible solution by west-corner rule. 2- Find initial feasible solution by Vogel's Approximation method. 3- Find the minimum transportation cost solution by stepping-stone method. 500 800 400
Boysen produces enamel and acrylic paint from two particular raw materials M1 and M2. The following data provides the data regarding the production restrictions.
Consider an assignment issue that has the following cost table. a. Draw a network representation of this assignment problem.b. Formulate this problem as a transport problem by drawing up the appropriate parameter table.c. Determine the optimal assignment solution using the Hungarian method!d. Use Excel Solver to get the optimal solution.
JN Company manufactures two products that use material 1, material 2, and material 3. Consider the following table: Resources needed Material 1 Material 2 Material 3 Price per Unit in Pesos Requirement per Unit Product 1 2 2 0 150 Product 2 3 1 4 200 a. Write the linear programming model for this problem. b. Present the optimal solution and interpret the result. Maximum Availability (units) 1200 1000 800 c. Determine the status of each resource. d. Determine the dual prices for the materials 1, 2 and 3. Explain each value. e. Determine the feasibility ranges for the dual prices obtained in (d). f. If the available number of material 1 is increased to 1300 units, find the new optimum solution. g. Find the range of optimality for (i.) product 1 and (ii.) product 2 for which the optimal. solution remains valid.
Destination Destination Destination Supply Source 1 75 8 320 Source 2 6 160 13120 4. Source 3 6.5 Demand 160 200 240 Based on the transportation table shown, total transportation cost using North- West Corner Method will be: a. 3040 Ob. 4100 O c. 2640 O d. 1920

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