4. The ICARE Company has three plants located throughout astate with production capacity 50, 75 and 25 gallons. Eachday the firm must furnish its four retail shops R1, R2, R3, &R4 with at least 20, 20, 50, and 60 gallons respectively. Thetransportation costs (in Rs.) are given below. The economicproblem is to distribute the available product to different retailshops in such a way so that the total transportation cost isminimum?Apply Vogel's Approximation Method and solve thefollowing table.RetailCompanyR1 R2P135P22P33Demand 20 2055656R3R47896225060Supply507525

The Vogel's approximation method is an iterative procedure to minimize the transportation cost or…

Answered: 4. The ICARE Company has three plants…

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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2. It takes a car salesman 2.5 hours to drive from one city to another if he drives at a constant rate of 60 kilometres per hour. How long will it take him to cover the same distance if he were to drive at a constant rate of 80 kilometres per hour, assuming the same road conditions?
Find the total cost of the following shipment of materials: 23 floor boxes listed at $4.00 each, less 15% ; 150 half-inch conduits listed at $0.60 each, less 20% ; 125 convenience outlets listed at $0.79 each, less 10% ; 83 single-pole flush switches listed at $0.45 each, less 30%.
There are three factories located at AR, IN, and TX respectively. From these locations, a certain commodity is to be delivered to each of the two warehouses situated at A and B. The revenue per commodity item is $10. The weekly demand of the warehouse A and B are respectively 50 and 35 units of the commodity while the production capacity of the factories at AR, IN, and TX are respectively 28, 22, and 35 units. The cost of transportation per unit is given as belows. Cost Warehouse A Warehouse B AR 5 3 IN 6 6 TX 2 4 To maintain a good relationship with all the factories, warehouse B requires that it receives at least 40% of its product from factory in TX. Realize that it is making good profit in warehouse A, AR requires that at least 35% of its product shipped to warehouse A. Formulate (without solving) a linear programming problem to maximize the profit.
6. A rectangular vault is to be constructed on an existing floor at a bank so as to enclose a volume of 485 cubic meters. The cost per square meter of materials is $2,000 for the ceiling, $9,000 for the wall with the door and $3,000 for the other three walls. The minimized cost of the vault rounded to the nearest $1,000 dollars is: a. $964,000 b. $971,000 c. $982,000 d. $993,000 7. The function f (x,y, z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical point at (x, y, z) = (24, 12,8). If that critical point is derived by the Lagrangian method, then the value of the Lagrange multiplier 2 at the critical point is: а. 13 24 b. 1 = 36 c. 1 = 54 d. 1 = 96
A company uses four special tank trucks to deliver four different gasoline products to customers. Eachtank has five compartments with capacities: 500, 750, 1200, 1500, and 1750 gallons. The daily demands forthe four products are 10000, 15000, 12000, and 8000 gallons. Any quantities that cannot be delivered by thecompany’s four trucks must be subcontracted at the additional costs of 5, 12, 8, and 10 cents per gallon forproducts 1, 2, 3, and 4, respectively. The goal is to develop the optimal daily loading schedule for the fourtrucks that will minimize the additional cost of subcontracting. Formulate this problem as an integer linearprogram, and solve it using linear program solver.
8. Write an 800 unit energy budget for three activities: Hunting Prey (H) which costs 10 units, Scavanging (S) which costs 3 units, and Raiding (R) the food stuff of other individuals which costs 7. What is the biologically reasonable range of values for H, S and R?
4. A pipeline is to be run to a resort community which is on an island 10 miles from the closest point on the shoreline. The water source for the pipe is 20 miles down the shore. If it costs $500/mile to lay pipe through water and $300/mile to lay pipe on land, at what point on the shoreline should the pipe turn into the water to minimize cost? What is the total cost? (see diagram) Island Pipeline Shoreline Water Source
i need the answer quickly

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