(b) Find the optimal value of the objective function of the following LP problem bydirectly solving its dual problem:maximise z= 3x1 - 14x2 - 2x3subject to:Provide all the details.3x1 + 2x2-23-201, 2, 3>0

To find the optimal value of the objective function of the LPP by directly solving its dual problem…

Answered: (b) Find the optimal value of the…

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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6. The revenue function (in dollars) for a business is R(x)=-4x² +80x, and the cost function (in dollars) is C(x)=16x+26. Find the profit function, and then find the maximum profit. Max profit is $ 9866 2(-1) Max profit: 7. The cost and revenue functions for a business are given below. In each function, x is measured in ten-thousand units, and the function value is in millions of dollars. C(x)=x' + 2x² -5x+72 R(x)=x²-x²+25x a) Find the maximum profit, and the number of items produced and sold to generate that profit. and occurs when b) Find the number of units at which the business will break even. Max profit is $ 250 items are produced and sold. 8. A business' profit function is given by P(x)=-4x² +104x-640, where x is measured in hundreds of items, and the profit is in thousands of dollars. or and occurs when b) Find the number of units at which the business will break even. a) Find the maximum profit, and the number of items produced and sold to generate that profit. 25300 items…
Ben can wash a car in 2 hours while his younger brother James can do it in 3 hours. How longwill it take to wash the car if they work together?
a. Determine the solution to the following function:Maximize 2xy subject to 4x + 2y = 200b. Determine the solution to the following function:Minimize 2x2 + 2y2 subject to 2x + 4y = 8
Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p = 130-0.75x. It also determines that the total cost of producing x suits is given by C(x)=3000+ 0,5x² a) Find the total revenue, R(x). b) Find the total profit, P(x). c) How many suits must the company produce and sell in order to maximize profit? d) What is the maximum profit? e) What price per suit must be charged in order to maximize profit?
3. The profit of a certain cellphone manufacturer can be represented by the function p(x) = -2000x² + 12000x + 126000 where p is the profit in dollars and a is the production level in thousands of units. How many units should be produced to maximize profit? What is the maximum profit?
The demand equation for a certain commodity is given by the following equation. - 6x + 108, Osx<36 12 Find x and the corresponding price p that maximize revenue. The maximum value of R(x) occurs at x =

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(b) Find the optimal value of the objective function of the following LP problem by directly solving its dual problem: maximise z 3x₁14x22x3 subject to: -3x₁ + 2x2 - 2x3 1, 2, 3 Provide all the details. - ≥-20 20