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- Express Logistics provides delivery service seven days a week. The daily requirements (in workers) are estimated as follows: Day M T Requirement 5 4 W 7 ΤΗ 3 F 6 S 3 SU 3 Each employee works five days a week and must have two consecutive days off, according to the contract. a. What is the minimum number of employees required? (If there is a tie in the selection of off days, S and SU days are given a preference). b. What is the worker schedule? You should show the schedule for each employee (stating their start day and the off days clearly).6. Find the formulation for the coffee demand in Dubai. 7. Find the constraints will ensure that if Roaster A is selected then Roaster E cannot be selected.13.2 A company manufactures component parts for machine tools in North America and ships them to Southeast Asia for assembly and sale in the local market. The components are shipped by sea, transit time averages 6 weeks, and the shipping costs $2700 per shipment. The company is considering moving the parts by air at an estimated cost of $7500; the shipment taking 2 days to get there. If inventory in transit for the shipment costs $125 per day, should they ship by air?
- 4. Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. Set up the solution in Excel and solve with Solver. What are total costs?9.2-6. Consider the transportation problem having the following parameter table: Plants respecti and 20 Th Destination 4 Supply mine the 1. 9. 20 30 30 20 to the re 8. 4 9. Source 7. minimiz (а) Fort 3. 6. 4(D) 0. 0. stru Demand (b) Use solu (c) Star tivel tima 25 25 10 20 After several iterations of the transportation simplex method, a BF solution is obtained that has the following basic variables, x= 20, 20. Continue the transportation simplex method for wo more iterations by hand. After two iterations, state whether the solution is optimal 25, 5, X2 =0, x – 0, 15 9.2-9. T systems The (1) electr ing. The and, if so, why. D1.9.2-7. Consider the transportation problem having the fol- 740O 20LenQua group is a drinking water factory in Serang. As the business progresses, demand is increasing in Cirebon, Semarang and Surabaya. And the company owner plans to build a factory so that customer needs in the area can be met without have to send from the factory in Serang. Several considerations for decision making can be seen based on the data below: a. How many boxes for the annual sales volume of each area to be able to competecompetitive advantage strategy with competitors?b. What do you suggest to the company based on the above cost data for the building sitethe factory? Explain why and use the computation data to make decisions possibleaccording to the corporate strategy you have learned.
- DJA Trucking Co. owns several truck used in hauling crushed stones from three different plants to three road projects in Pampanga. The contractor in charge of the project gives the company the ff. Projec A B C F/T X Y Z Requirement per week 150 175 140 A B P100 P200 150 175 200 500 C P75 225 125 Plants X Y Z Available per week 145 160 160 Compute for the optimal hauling schedule and the total transportation costs. (Use stepping stone and Least Cost Method (minimum entry method))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 26. A large textile firm has two manufacturing plants, two sources of raw material, and three market centers. The transportation costs between the sources and the plants and between the plants and the markets are as follows: Source Plant A 1 $1/ton 2 $2/ton 1 A $4/ton B $3/ton Plant B $1.50/ton $1.50/ton Market 2 $2/ton $4/ton 3 $1/ton $2/ton Ten tons are available from source 1 and 15 tons from source 2. The three market centers require 8 tons, 14 tons, and 3 tons. The plants have unlimited processing capacity.
- The Ace Manufacturing Company has orders for three similar products. Product Min A s.t. B C 1 Machine 2 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. 3 A A B Product B с 4 2 3 Machine 1 Capacity Machine 2 Capacity Machine 3 Capacity Product A Orders Product B Orders Orders (units) Product C Orders 2,100 ≥ 0 for all i, j. 700 1,200 Capacity (units) 1,400 1,400 1,400 1 Use the transportation model to develop the minimum cost production schedule for the products and machines. (a) Show the linear programming formulation. (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.) Xij Machine 2 $1.00 $1.30…2. A company has plants at locations A, B and C with the daily capacity to produce chemicals to a maximum of 3000 kg, 1000 kg and 2000 kg respectively. The cost of production (per kg) are P800, P900 and P750 respectively. Customer's requirement of chemicals per day is as follows: Customer Chemical Required Price offered 2000 200 2 1000 215 3 2500 225 1000 200 Transportation cost per kg from plant locations to customer's place is given in table. Customer 2 3 A 5 7 10 12 Plant B 3 4 2 с 3 Find the transportation schedule that minimizes the total transportation cost.Problem 21-9 (Algo) Semans is a manufacturer that produces bracket assemblies. Demand for bracket assemblies (X) is 131 units. The following is the BOM in indented form: ITEM X A B C DESCRIPTION Bracket assembly wall board Hanger subassembly D Hanger casting E Ceramic knob Rivet head screw F Metal tong G Plastic cap Item Inventory X 23 A 18 B5 Below is a table indicating current inventory levels: 55 USAGE 1 C 25 4 2 2 1 5 2 D 200 170 1,100 G 90