Hh4. What is the total cost of meeting customer requirements each day?
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What is the total cost of meeting customer requirements each day?
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- Q2 The lower daily needs for workers in a manufacturing organization provided in the below table, each worker works for eight hours, the management needs to determine the lower number of workers to maintain the flow and stability of the work in each shaft. Formulate LP model for this problem and suggest (only suggestion) a method to find the optimal solution ShaftThe Ace Manufacturing Company has orders for three similar products. DETAILS CAMMIMS16 6.E.009. Min Product s.t. A B с 1 Machine 2 3 A 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 I 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 B Product B C 1 2 Orders (units) 1,700 3 300 1,200 Capacity (units) 1,400 1,400 600 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 MY NOTES $0.90 $1.20 $1.20 ASK YOUR TEACHER PRACTICE ANOTHER (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.)Q1. General Appliance Corp. produces refrigerators at three plants: Marietta, Minneapolis and Phoenix. They ship them to major retail outlets in Chicago, Los Angeles and New York City. The accounting, production and marketing departments have provided the following information in the given tables; Plant capacities over the next planning period, retail outlet demand and unit cost of shipping between any plant and retail outlet. The company would like to minimize the cost of their transportation network by identifying how many units to ship between each plant and retail outlet. 1. Formulate this linear optimization problem by clearly listing the decision variables, objective function and constraints. 2. Create a spreadsheet model for this problem and solve it using Solver. What is the minimum cost? Plant Supply Marietta 1200 Minneapolis 800 Phoenix 1600 Retail Outlet Demand Chicago 650 Los Angeles 1450 New York City 1500…
- 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.REQUIRED: (a) Draw a network that depicts the company's supply network. Identify the supply nodes, transshipment nodes, and demand nodes in this network. (b) Formulate an optimization model to solve this problem. (Set-up only the objective function and the Constrains do not solve) 1 Question The Audiofile Company produces boomboxes. However, management has decided to subcontract out the production of the speakers needed for the boomboxes. Three vendors are available to supply the speakers. Their price for each shipment of 1,000 speakers is shown below Vendor 1 2 3 In addition, each vendor would charge a shipping cost. Each shipment would go to one of the company's two warehouses. Each vendor has its own formula for calculating this shipping cost based on the mileage to the warehouse. These formulas and the mileage data are shown below Vendor 1 2 3 Vendor 2 3 Warehouse 1 Price $22,500 $22,700 $22,300 Charge per shipment $300+0.40/m $200+050/mle $500+0.20/mile 1600 miles 500 miles 2,000…29. Below diagram shows the storage scenario of a CSP plant. What is the plant capacity? t e ec
- 1. XYZ Company is considering making a new product which requires several types of raw material: In Stock Required Raw Material Description Ayay Nil 100 Replacement Cost is $5 per unit. This material has limited supply. This material is also used to produce another product which has a contribution margin of $3.5 per unit of material Ayay. All available supply of material Ayay are needed to produce this another product. Benzam Nil 40 Current purchase price is $7/unit. Chizzum 100 150 purchased for $10/unit Current purchase price is $14/unit. The material has no use in the company other than for the project under consideration. Units in inventory can be sold for $12/unit. Dedee 120 50 purchased for $20/unit Current purchase price is $22/unit. The material is regularly used in current manufacturing operations. Required: Compute the relevant cost of each material.1. The method which usually gives a good basic feasible solution to a transportation problem is • Northwest comer rule • Vogel's approximation method • Least Cost method none of the above 2. In a Vogel's approximation method, row and column penalties are determined by: • Largest unit cost in each row or column. • Smallest unit cost in each row or column. • Sum of the unit costs in each row or column. • difference between the two lowest unit costs in each row and column. • difference between the two highest unit costs in each row and column. • None of these 3. In northwest corner rule, we start allocation of units in the: Lower right comer of the table. • Most Middle cell of the table. • Upper right corner of the table. • Highest costly cell of the table. • Upper left-hand comer of the table. None of theseSouthern Sporting Goods Company makes basketballs and footballs. Each product is produced from two resources-rubber and leather. The resource requirements for each product and the total resources available are as follows: Product Resource Requirement per Unit Rubber (lb.) Basketball 4 Football 5 Total Resources available 500 lb. 800 ft.2 * Each basketball produced results in a profit of $12, and each football earns $16 in profit. b. Transform this model into standard form Leather (ft.2) 3 2 a. Formulate a linear programming model to determine the number of basketballs and footballs to produce in order to maximize profit.
- 16. Complete the following schedule and then answer Problems 16 and 17. Forecast requirements In transit On Hand 1 35 50 Projected available balance 30 Planned Shipments Shipping quantity = 50, Lead time = 1, Safety stock = 25 2 30 Period 3 45 What will the planned shipments be for periods 2, 3, and 4? a) 25 units for each period b) 50 units for periods 2 and 4; zero units for period 3 4 65 c) 50 units for each period d) 100 units in period 2, zero units in period 3, and 50 units in period 4 e) 75 units in period 2, 35 units in period 3, 20 units in period 4 17. What is the projected available balance for period 4? a) 50 units b) 55 units c) 60 units d) 65 units e) 75 units 5 30Qn1. Find the optimal solution to the transportation problem using MODI method. Warehouses Supply WI W2 W3 W4 P1 19 30 50 12 Plants 5. 2. P2 70 30 40 60 P3 40 10 60 20 3. 15 Demand 4)Exercise 4 The Fly-Right Airplanc Company builds small jet planes to scll to corporations for the use of the exccutives. To meet the needs of these exccutives, the company's customers sometimes order a custom design of the air planes being purchased. When this occurs, a substantial start up cost is incurred to intiate production of these airplanes. Fly-Right has recently reccived purchase requests from three customers with short deadlines. However, as the company's production facilities already are almost completely tied up filling previous orders, it will not be able to accept all three orders. Therefore a decision now needs to be made on the number of airplancs the company will agree to produce (if any) for cach of the three customers. The table below gives the relevant information on cach of the three customers. Each customer has a fixed start-up cost, paid just once irrespective of how many plancs are produced for that customer. The marginal net revenue is received per plane…