3. A political toy company manufactures stuffed donkeys and elephants using cotton and polyester. At present, 40 unitsof cotton and 30 units of polyester are available. A donkey sells for $4 and requires 1 unit of cotton and 1 unit ofpolyester. An elephant sells for $5 and requires 2 units of cotton and 1 unit of polyester.Formulate an LP that will help the company maximize profit.

Answered: Image /qna-images/answer/ccbea9ca-e2c6-4ccf-b617-4386c52bbc29.jpg

Answered: 3. A political toy company manufactures…

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 confectioner sells two types of nut mixtures. The standard-mixture package contains 100 g of cashews and 200 g of peanuts and sells for $1.90. The deluxe-mixture package contains 150 g of cashews and 50 g of peanuts and sells for $2.35. The confectioner has 15 kg of cashews and 20 kg of peanuts available. On the basis of past sales, the confectioner needs to have at least as many standard as deluxe packages available. How many bags of each mixture should he package to maximize his revenue? bags of standard bags of deluxe
Store A and Store B compete for the business of the same customer base. Store A has 55% of the business and Store B has 45 %. Both companies intend to expand to increasse their market share. If both expand, or neither expand, they expect theri market share to remain the same. If Store A expands and Store B does not, the Store A"A share increases to 65%. If Store B expands and Store A doesnt, then Store A's share drops to 50%. Determine which strategy, to expand or not, each company should take.
15 (no. of cabinets), 10 (no. of tables), and 2200 (max. profit) are wrong.
11. A small country exports soybeans and flowers. Soybeans require 8 workers per acre, flowers require 12 workers per acre and 100,000 workers are available. Government contracts require that there be at least 3 times as many acres of soybeans as flowers planted. It costs $250 per acre to plant soybeans and $300 per acre to plant flowers, and there is a budget of $3 million. If the profit from soybeans is $1,800 per acre and the profit from flowers is $2,000 per acre, how many acres of each crop should be planted to maximize profit? Then find the maximum profit.
You are opening a plant that will manufacture widgets (w) and gizmos (g). The widget machines cost $10,000 each. They each require 4 operators and 500 square feet o space. The gizmo machines each cost $6,000 ard require 6 operators and 500 square feet of space. Your new plant has 40,000 square feet of space available for the machines. HR estimates that you will be able to hire 460 operators to run the machines. Your budget for buying machines is $660,000. a) List all 5 constraints. b) List the coordinates of the corners of the graph in (g,w) form. (We cannot buy a fraction of a production machine. If the corners are not whole numbers, give the closest whole number coordinates along each constraint line.) c) Given the following estimated profits per hour per machine in each scenario, how many of each type of machine should you buy? What will be your profit per hour at tha Profit per Maximum Profit per Widget Number of Gismos Number of Widets Gizmo Profit $99 $98 $78 $120 $265 $103 ts…
Embassy Motorcycles (EM) manufactures two lightweight motorcycles designed for easy handling and safety. The EZ-Rider model has a new engine and a low profile that make it easy to balance. The Lady-Sport model is slightly larger, uses a more traditional engine, and is specifically designed to appeal to women riders. Embassy produces the engines for both models at its Des Moines, Iowa plant. Each EZ-Rider engine requires 6 hours of manufacturing time, and each Lady-Sport engine requires 3 hours of manufacturing time. The Des Moines plant has 2,100 hours of engine manufacturing time available for the next production period. Embassy's motorcycle frame supplier can supply as many EZ-Rider frames as needed. However, the Lady-Sport frame is more complex and the supplier can only provide up to 300 Lady-Sport frames for the next production period. Final assembly and testing requires 2 hours for each EZ-Rider model and 2.5 hours for each Lady-Sport model. A maximum of 850 hours of assembly and…
An animal food must provide 60 units of vitamins and 67 calories per serving. One gram of soybean meal provides 2.5 units of vitamins and 5 calories. One gram of meat byproducts provides 4.5 units of vitamins and 3 calories. One gram of grain provides 5 units of vitamins and 10 calories. A gram of soybean meal costs 7¢, a gram of meat byproducts 9¢, and a gram of grain 10¢. (a) What mixture of these three ingredients will provide the required vitamins and calories at minimum cost? (b) What is the minimum cost? (a) Set up the initial tableau for the dual maximum problem. Fill in the missing entries. X2 S1 S2 S3 2.5 1 4.5 3 10 10
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