An air conditioner company must satisfy the demands of the customers for air conditioners on time in theupcoming months: June: 300; July: 400; August: 500. Two alternative cities exist for the production of airconditioners. They can either be produced in İzmir or Muğla. The required skilled labor hour to manufacture anair conditioner is 1.45 hours in İzmir and 2.05 hours in Muğla. However, the production costs are different, too.The production cost of an air conditioner in İzmir is $500 and $485 in Muğla. During the summer (June, July,August) 430 hours of skilled labor are accessible in both cities. Besides, an inventory cost exists: it takes $10 tocarry/hold an air conditioner in inventory for a month. The company has 215 air conditioners on hand (in stock)at the beginning of June.Formulate a Linear Programming model for the aforementioned problem such that its solutionwill explain to the company how to minimize the total cost of satisfying the demand requirements for theupcoming 3 months.

To formulate a Linear Programming (LP) model for this problem, we need to define decision variables,…

Answered: An air conditioner company must satisfy…

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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A landscape contractor is hired to cultivate ornamental Plants in three new residential developments. The contrsctor charges the developer for each tree cultivated, an hourly rate to cultivate the ornamental plants, and a fixed delivery charge. In one development it took 211 labour hours to cultivate 244 ornamental plants for a cost of $9394. In second development it took 128 labour hours to cultivate 283 ornamental plants for a cost of $8270. In the final devolopment ir took 165 labour hours to cultivate 386 ornamental plants for a cost of $10938. In total 504 labour hours were taken and 913 ornamental plants were cultivated. Using cramer's rule of the inverse method, determine the cost for each tree, the hourly labour charge and the delivery charge.
Trans Global Tractor Trailers has decided to spend up to $2,700,000 on a fleet of new trucks, and it is considering three models: the Gigahaul, which has a capacity of 6,000 cubic feet and is priced at $60,000; the Megahaul, with a capacity of 5,000 cubic feet, priced at $50,000; and the Picohaul, with a capacity of 2,000 cubic feet, priced at $40,000. The anticipated annual revenues are $500,000 for each new truck purchased (regardless of size). Trans Global would like a total capacity of up to 234,000 cubic feet and feels that it cannot provide drivers and maintenance for more than 54 trucks.How many of each should it purchase to maximize annual revenue? (Gigahaul, Megahaul, Picohaul) = trucks What is the largest possible revenue it can make? $
A landscape contractor is hired to cultivate ornamental plants in three new residential developments. The contractor charges the developer for each tree cultivated an hourly rate to cultivate the ornamental plants, and a fixed delivery charge. In one development it took 211 labor hours to cultivate 244 ornamental plants for a cost of $9,394. In a second development it took 128 labor hours to cultivate 283 ornamental plants for a cost of $8,270. In the final development it took 165 labor hours to cultivate 386 ornamental plants for a cost of $10,938. In total 504 labor hours were taken and 913 ornamental plants were cultivated. 1. Using Cramer’s Rule of the Inverse Method, determine the cost for each tree, the hourly labor charge, and the delivery charge.
A landscape contractor is hired to cultivate ornamental plants in three new residential developments. The contractor charges the developer for each tree cultivated, an hourly rateto cultivate the ornamental plants, and a fixed delivery charge. In one development it took211 labour hours to cultivate 244 ornamental plants for a cost of $9394. In a second development it took 128 labour hours to cultivate 283 ornamental plants for a cost of $8270. In the final development it took 165 labour hours to cultivate 386 ornamental plants for a cost of $10938.In total 504 labour hours were taken and 913 ornamental plants were cultivated. Using Cramer’s Rule of the Inverse Method, determine the cost for each tree, the hourly labour charge, and the delivery charge.
Tim Smunt has been asked to evaluate two machines. After some investigation, he determines that they have the costs shown in the following table: He is told to assume that: 1. The life of each machine is 3 years. Machine A Machine B Original Cost Labor per year $15,000 $20,000 $2,200 $4,000 Maintenance per year Salvage value $4,600 $1,000 $2,400 $7,500 2. The company thinks it knows how to make 8% on investments no more risky than this one. 3. Labor and maintenance are paid at the end of the year. • The NPV for Machine A: The NPV for Machine B: Using the net present value as the basis of comparing the machines, Tim should recommend:
A large defense contractor is considering making a specialized investment in a facility to make helicopters. The firm currently has a contract with the government, which, over the lifetime of the contract, is worth 100mn euro to the firm. It is considering building a new production plant for these helicopters; doing so will reduce the production costs to the company, increasing the value of the contract from 100mn euro to 200mn euro. The cost of the plant will be 60mn euro. However, there is the possibility that the government will cancel the contract. If that happens, the value of the contract will fall to zero. The problem (from the company’s point of view) is that it will only find out about the cancellation after it completes the new plant. At this point, it appears that the probability that the government will cancel the contract is 0.45. Draw a decision tree reflecting the decisions and find the equilibrium.
A tent manufacture produces regular and expedition tents at three branches. Per hour of operation, the Harrogate branch produces 20 regular tents and 10 expedition tents. The Skipton branch produces 0 regular tents and 20 expedition tents, and the York branc h produces 80 regular tents and 20 expedition tents. In order to meet the demand, the company needs to produce exactly 240 regular tents and 100 expedition tents each day. How many hours per day should each branch operate in order to produce the required amounts of tent? Solve using Gauss-Jordan elimination method.
The Fore and Aft Marina is located on the Ohio River near Madison, Indiana. Fore and Aft currently operates a docking facility where only one boat at a time can stop for gas and servicing. The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. Assume that the arrival rate is 3 boats per hour and that the service rate for each server is 9 boats per hour. (Round your answers to four decimal places.) (a) What is the probability that the boat dock will be idle? (b) What is the average number of boats that will be waiting for service? (c) What is the average time (in hours) a boat will spend waiting for service? h (d) What is the average time (in hours) a boat will spend at the dock? h (e) If customers expect to be able to be in and out of the marina within 10 minutes on average, does this system provide acceptable service? ---Select--- V since the average time a boat will…

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