2. Rewrite the following linear program in standard form. (2)s.t.min z = 2x1 + 5x2 - 7x3x12x2 + 3x3 < −52x16x2x3 ≥ 33x18x2 + 9x3 = 66x17x2 - 4x3 ≤ 2x1 ≥ 0, x2 ≤0, x3 unconstrained

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Answered: s.t. min z = 2x1 +52 x₁2x2 + 3x3 ≤ -…

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 tortoise and hare are competing in a 400-meter race. The arrogant hare gives the tortoise a 220-meter head start. When the start gun is fired, the hare begins running at a constant speed of 3.5 meters per second and the tortoise begins crawling at constant speed of 1.5 meters per second. Take out a piece of paper and read the above problem context again. You will prepare your written work and solutions on your own paper and upload it and the end of this question. Complete the problem solving process by: i. reading and re-reading the problem to identify the quantities in the situation; ii. making a drawing to represent the relevant quantities in the situation; iii. and defining the variable t to represent the number of seconds since the start of the race. a. Define a function f to determine the distance of the tortoise from the finish line in terms of the number of seconds, t, since the start of the race. Preview Solve f(t) = 0 and describe what your solution represents. t = Preview…
← A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply zero units of protein, 3 units of carbohydrates, and 2 units of fat, and will contain 40 calories. Each ounce of nuts will supply 3 units of protein, 1 unit of carbohydrate, and 4 units of fat, and will contain 50 calories. Every package must provide at least 6 units of protein, at least 8 units of carbohydrates, and no more than 16 units of fat. Find the number of ounces of fruit and number of ounces of nuts that will meet the requirement with the least number of calories. What is the least number of calories? Let x be the ounces of fruit and y be the ounces of nuts. What is the objective function that must by minimized? z- 40 x+ 50 y The dietician should use ounce(s) of fruit and ounce(s) of nuts. These amounts will have a total of calories (Type whole numbers.)
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EX.1
The following are recipes for pancakes and waffles. A batch of pancakes require 3 cups of flour, 1 cup of milk, and 2 eggs and feeds 6 people. A batch of waffles requires 2 cups of flour, 2 cups of milk, and 2 eggs and feeds 5 people. Suppose you have available 24 cups of flour, 18 cups of milk, and 20 eggs. How many batches of pancakes and waffles should you make to feed the maximum number of people? a) State what you assign to x and y. Write the objective function. [2] b) Write the three constraint inequalities. [3] c) Find the axes intercepts of each of the above inequalities. [3] d) Plot the inequalities. Label the solution set. [3] e) How many batches of pancakes and waffles should you make to feed the maximum number of people

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s.t. min z = 2x1 +52 x₁2x2 + 3x3 ≤ - 2x1 +6x2x3 ≥ 3 3x18x2 +9x3 = 6x17x2 - 4x3 ≤ x₁ ≥ 0, x₂ ≤ 0, x3 L