Question 18"USC' STANDS FOR UNIT SHIPPING COSTAREA XAREA YAREA ZSUPPLIESPLANT A100USC: 5USC: 8USC: 7PLANT B300USC: 4USC: 2USC: 9PLANT C400USC: 7USC: 4USC: 8DEMANDS200300300AFTER DOING NORTHWEST CORNER RULE, HOW MUCH SUPPLIES MUST BE ALLOCATED TO(PLANT C, AREA Y)?100300400

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Answered: Question 18 "USC' STANDS FOR UNIT…

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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1. Amazon wants to create an open-top box with a square bottom with only 149 in2 cardboard (the surface area of the box is 149 in2) What are the dimensions of the box that maximizes volume? What is the maximum volume? (Volume of box =(length)(width)(height), the surface area of the box is the sum of the areas of the sides)
2. The canteen manager is required to prepare meals that satisfy the minimum daily requirements of protein (P), minerals (M), and vitamins(V). Suppose that the minimum daily requirements have been established at 14P, 10M, and 6V. The manager can use either meat or fish in the preparation of meals. Meat contains IP, IM, and IV per kilo. Fish contains 2P, IM, and 0.5V per kilo. The price of fish is $2 per kilo, and the price of meat is $3 per kilo. What combination of ingredients for the meals should the canteen manager use to fulfill the minimum daily requirements of protein, minerals, and vitamins at the lowest possible cost per student?
11. A farmer wants to fence off a rectangular plot of ground with area 3000 ft² and divide the plot into three equal pens by running two lengths of fence parallel to one side of the plot. What is the least amount of total fencing that he can use?
1 5. A farmer is building a new cylindrical silo with a flat roof and an earthen floor that will hold 20 000 m 3 of corn. What dimensions should the farmer construct his silo if he wants to use the least material for construction?
Describe the bounds, limitations, requirements, proportional relationships, and balance constraints: Young Energy operates a power plant that includes a coal-fired boiler to produce steam to drive a generator. The company can purchase different types of coals and blend them to meet the requirements for burning in the boiler. The following table shows the characteristics of the different types of coals: The required BTU/pound must be at least 11,900. In addition, the ash content can be at most 12.2% and the moisture content, at most 9.4%. Develop and solve a linear optimization model to find the best coal blend for Young Energy.
24. * A company wants to purchase a rectangular advertisement space in a magazine. The magazine re- quires that the top and bottom margins (2cm each), as well as the side margins (1cm each) of the space be left completely blank. The area of the space offered, including the margins, is 72 square centime- ters. What dimensions should the company request for its advertisement (including the margins) to maximize the printed area?
8) A farmer wishes to enclose a rectangular area on three sides along a stream. The area needed for this enclosure is 180,000 square feet. Find the dimensions that minimize the amount of fencing material required to build this enclosure.

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