Show your complee solution to each of the following problems:1. A washing machine manufacturing company has two supply sources A, and B withcapacities of 60 and 70 units respectively. The company needs to transport washingmachines to its destribution centers at Laguna (L), Batangas (B), and Cavite (C)with demands of 30, 40, and 60 units respectively. The cost of transporting 1unit of washing machine from one source to a certain destination is given in thefollowing table:source destinationABDemandL BP 30P 6030assignment employeeJob 1Job 2Job 3Job 4Job 5Find the number of units to be transported from each source to each distributioncenter that gives the minimum total transportation cost.P40P 20402. In a department store, there are five newly hired employees A, B, C, D, E ad fivejobs 1, 2, 3, 4, 5. Assigning a job to a certain employee will cost the owner to paythat employee a monthly salary shown in he table below.A BP 20kP18kP21kP 17kP 18kCP 30P 15kP 20kP23kP8060P 18kP 18kSupply6070DEP25kP 15kP25kP 20kP20kCP 18kP20kP12kP 14kP25kP27kP21kP23kP 16k P 19kHow should the store owner assign the available jobs to his employees so that itwill cost him as little as possible to pay all his employees per month?

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Answered: 1. A washing machine manufacturing…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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4. A company has a contract to move 700 units of a product per day between three plants A, B, and C, and three destinations, X, Y, and Z. Cost (in hundreds of pesos) and volume information are given below. Compute the optimal transportation cost. Destination Y 2 Capacity A 4 be3 100 B 4 300 C 9 7 300 Demand op 300 200 Plant 58 5 3 5 200
1. ARI Chemicals produces two products that are sold as raw materials to companies manufacturing bath soaps and laundry detergents. Based on an analysis of current inventory levels and potential demands for the coming month, ARI management specified that the combined production for products A and B must total at least 350 gallons. Separately, a major customer’s order of 125 gallons of product A must also be satisfied. Product A requires 2 hours of processing time per gallon and product B requires 1 hour of processing time per gallon. For the coming month, 600 hours of processing time are available. ARI's objective is to satisfy these requirements at a minimum total production cost. Production costs are $2 per gallon for product A and $3 per gallon for product B. - Generate the mathematical model for the optimal number of products A and B to be produced by ARI chemicals. - Create Graph
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Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. The company purchases natural gas from two companies: Southern Gas and Northwest Gas. Demand forecasts for the coming winter season are as follows: Hamilton County, 400 units; Butler County, 200 units; and Clermont County, 300 units. Contracts to provide the following quantities have been written: Southern Gas, 500 units; and Northwest Gas, 400 units. Distribution costs for the counties vary, depending upon the location of the suppliers. The distribution costs per unit (in thousands of dollars) are as follows:
The Ace Manufacturing Company has orders for three similar products. Orders (units) 2,200 Product A B C с 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 C с Product 1 2 3 300 1,400 Capacity (units) 1,800 1,700 800 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20
Consider a two country world producing only meat and potatoes. If the world equilibrium relative price of potatoes is between 1 5 and 1 3 pounds of meat, then the world equilibrium relative price of meat: a) will lie between 1 and 1 3 pounds of potatoes as well. b) must lie between 3 and 5 pounds of potatoes. c) cannot be determined without additional data
I need the answer as soon as possible
8) Send With Us is a company that ships large packages overnight to cities all over the country. Overnight delivery is guaranteed. They charge for delivery depending on the weight of the package according to the following price list: $30 per pound for packages weighing up to and including 10 pounds. $25 per pound for packages weighing more than 10 pounds and up to and including 20 pounds $20 per pound for packages weighing more than 20 pounds and up to and including 30 pounds. $15 per pound for packages weighing more than 30 pounds. a) Sketch a graph of the function that describes the cost of all possible shipping charges. b) If the package you want to ship weighs 15 pounds and there is an 8% tax on all shipping charges, what will be your total cost?
A factory works 8 hours a day, producing three products namely A, B and C. each of these products is processed in three different operations namely 1, 2 and 3. The processing times in minutes for each of these products in each of the operations are given below along with utilization of the processes and the cost and price in kwachas for each of these three products which have unlimited demand. Product Processing time (mins) in operation Cost/unit Price/unit 1 3 (K) (K) 1 10 16 2 1 4 10 Utilisation 80% 70% 90% Formulate a linear programming model for this problem Detemine the optimal product mix using the simplex method. iii. Give the interpretations for the values obtained in the final simplex table 529 ABC

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