Question A2A farmer plans to plant 3 crops A, B and C in the coming season. The seed for crops A, B andC costs $30, $40 and $20 per acre respectively and a maximum of $2000 can be spent on seed.Crops A, B and C require 2, 3 and 4 workdays per acre respectively and there are a maximumof 180 workdays available.Let x, y and z be the number of acres of crops A, B and C the farmer should plant respectively.Determine ALL the possible combinations of x, y and z by performing elementary rowoperations.

Let us determine all possible combinations of x, y and z by performing elementary row operations on…

Answered: Question A2 A farmer plans to plant 3…

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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Scenario 2: In the bathroom, the homeowners wish to install subway tile around the tub. The tile will be placed above the tub on the three sides that are enclosed. The bathroom has a 9-foot ceiling height and the tub is 60 inches long by 32 inches wide by 19 inches high. The tile the homeowners have selected is 3 inches by 12 inches and is sold by the box. Each box costs $34.99 and contains 22 tiles. The supplier provides free delivery and recommends purchasing a minimum of 10% overage. Question 6: Find the total cost for the tile, including sales tax.
A patient takes vitamin pills. Each day he must have at least 540 IU of vitamin A, 24 mg of vitamin B,, and 70 mg of vitamin C. He can choose between pill 1, which contains 240 IU of vitamin A, 4 mg of vitamin B,, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 4 mg of vitamin B,, and 20 mg of vitamin C. Pill 1 costs 10¢, and pill 2 costs 30¢. Complete parts a and b below. a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy of pill 1 and of pill 2. The minimum cost is $ (Simplify your answers. Type integers or decimals.)
A patient takes vitamin pills. Each day he must have at least 900 IU of vitamin A, 14 mg of vitamin B₁, and 80 mg of vitamin C. He can choose between pill 1, which contains 180 IU of vitamin A, 2 mg of vitamin B₁, and 10 mg of vitamin C, and pill 2, which contains 90 IU of vitamin A, 2 mg of vitamin B₁, and 15 mg of vitamin C. Pill 1 costs 25¢, and pill 2 costs 75¢. Complete parts a and b below. a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy 8 of pill 1 and 0 of pill 2. The minimum cost is $ 2. (Simplify your answers. Type integers or decimals.) b. For the solution in part a, the patient is receiving more than he needs of at least one vitamin. Identify that vitamin, and tell how much surplus he is receiving. mg of vitamin C more than he needs. and He is receiving IU of vitamin A, mg of vitamin B₁, a (Simplify your answers.)
A patient takes vitamin pills. Each day he must have at least 300IU of vitamin A, 3 mg of vitamin B1, and 60 mg of vitamin C. He can choose between pill 1, which contains 180 IU of vitamin A, 1 mg of vitamin B1, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 1 mg of vitamin B1, and 40 mg of vitamin C. Pill 1 costs 25¢, and pill 2 costs 50¢. Complete parts a and b below. a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy nothing of pill 1 and nothing of pill 2. The minimum cost is $ nothing. (Simplify your answers. Type integers or decimals.)
1. A store has some beans selling for $1 per pound and some vegetables selling for $2.80 per pound. The store plans to use them to produce 15 pounds of mixture and sell for $1.60 per pound. how many pounds of beans and how many pounds of vegetables should by used to produce 15 pounds of the mixture the store should use beans and 2. a rectangle length is 7ft shorter than twice it's width. perimeter is 256ft. find length and width. pounds of pounds of vegetables?
A peanut company sells a mixture of two types of beans. The cheapest mixture contains 80% lean peanuts and 20% pithy beans, while the most expensive bean contains 50% of each type. Every week the company can earn 1,800 kg of lean peanuts and 1,200 pithy peanuts. How many kg of each mixture must be made to maximize profit if the profit is Rp. 100 for each cheap mixture and Rp. 150 from the expensive mixture?a. Formulate the problem?b. Finish with a graphic method?
Suppose that a small company produces two different models of kayaks. A larger model and smaller model. The larger model requires 2 hours of manufacturing, 2 hours for assembly and 3 hours for packaging. The smaller model requires 2 hours for manufacturing, 1 hour for assembly and 2 hours for packaging. Each week the company has 120 hours available for manufacturing, 80 hours available for assembly and 132 hours available for packaging. If the company makes a profit of $75 for each of the larger model manufactured and profit of $60 for each smaller model manufactured, how many of each model should the company produce in order to maximize profit ?
Alan, Hannah, and Carolyn start a business agd invest $9000, $3000 and $6000 respectively. After a few months, if Carolyn decides to sell his shares to Alan and Bianca, he much would Alan and Blanca have to pay for Carolyn's shares if they want to maintain their initial investment ratio? a. Alan pays $1200; Hannah pays $4800 b. Alan pays $4800; Hannah pays $1200 C. Alan pays $1500; Hannah pays $4500 d. Alan pays $4500; Hannah pays $1500

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