1. Consider the following linear programing program:Max Z Z = 5x₁ + 4x₂s.t.2x1 + 2x₂ ≤ 1203x₁ + 2x₂150≤ 40X1X1=X₂ 20

Given linear programming problem ismax Z = 5x1 + 4x2s.t. 2x1 + 2x2 ≤ 120 3x1 + 2x2 ≤ 150…

Answered: Consider the following linear…

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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2. Rewrite the following linear program in standard form.
What is Power and Multiple Rules?
Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard model requires 5 hours to assemble and 1 hours for finishing touches. The artisan model requires 2 hours to assemble and 4 hours for finishing touches. Based on their current staffing, they can manage a maximum number of assembly hours available is 50 per day, and the maximum number of finishing hours available is 64 per day. Let x = the number of standard model bookcases produced per day and y = the number of artisan model bookcases produced per day. Write the system of inequalities that represents the maximum number of bookcases that can be produced in one day. 0 Graph the system of inequalities, remember to include x >0 and y > 0 in your graph to get full credit. You will need to include four lines. 25 24 VI
2. Rewrite the following linear program in standard form. (1) s.t. min z = -5x1 - 6x2 - 7x3 -x1 - 5x2 3x3 ≥ 15 -5x1 - 6x2 + 10x3 ≤ 20 x1x2x3 = -5 x1 ≤ 0, x2 > 0, x3 unconstrained -
A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R, where: Chemical P costs $100 a unit and chemical R costs $400 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $80,000. 2= 100p0.8.0.2 A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z subject to the budgetary constraint? Units of chemical P, p = Units of chemical R, r = B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production, z= units
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To calculate: The maximum profit that used book supply program can make where not more than 650 books are purchased, calculus texts occupy 2 units of shelf space each, history books 1 unit each and market texts 3 units each and at most 1000 units of shelf space is free, and the program makes a profit of $10 on each calculus text, $4 on each history text and $8 on each marketing text.
f. A drapper is required to supply two types of shirts type A and type B. The total number of shirts must not be more than 400. He has to supply more of type A than type B. However, the number of type A must not be more than 300 and the number of type B shirts must not be less than 80. Let x be the number of type A shirts and y be the number of type B shirts. If the profits were as follows: Type A Ksh 600 per shirt Type B Ksh 400 per shirt. Formulate a Linear Optimization Model, hence use the graphical method to determine the number of shirts of each type that should be made to maximize the profit.
How many slack variables exist(s) in the tableau to be created if we have: Show your solution. x + 2y ≤ 50 2x + 4y ≤ 100 x ≥ 0, y ≥ 0 a. 2 b. 4 c. 0 d. 3
1. Given the following linear program: Max 3x1 + 4x2 s.t. 2x1 + 3x2 < 24 3x1 + x2 < 21 x1,x2> 0
Convert the following linear program to standard form: Maximize z = 3x₁ + 5x2 - 4x3 ubject to 7x1 - 2x2 - 3x3 ≥4 - 2x1 + 4x2 + 8x3 = -3 5x13x2 - 2x3 ≤9 x1 ≥ 1, X₂ ≤7, X3 ≥ 0.
This is question 4 from my homework, please help me!

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Consider the following linear programing program: Max Z s.t. Z = 5x₁₂ + 4x₂ 2x₁ + 2x₂ ≤ 120 3x₁ + 2x₂ ≤ 150 ≤40 X₁ X1 x1-x₂ 20