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Find the minimum value as well as the point at which the minimum occurs of L = -2x₁5x2 + x3 subject to the constraints x₁ + 2x2x3 ≤ 6, x2 + 2x3 ≤ 6, 2x2 + x3 ≤ 4, X1, X2, X3 ≥ 0.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Lease option

A lease option is a time and cost-saving option used by information technology (IT) companies that cannot afford large investments. By choosing to lease Software, a firm does not get its ownership directly. Instead, the firm has to pay a fixed cost for a certain period to use the Software, and after the lease period, the company can purchase the Software.

Question

Find the minimum value as well as the point at which the minimum occurs of
L = −2x₁ - 5x2 + x3
subject to the constraints
x₁ + 2x₂x3 ≤ 6,
x2 + 2x3 ≤ 6,
2x₂ + x3
≤ 4,
X1, X2, X3
> 0.

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