Consider the Following Linear Programming Problem

question 88

Essay

Consider the following linear programming problem:
MIN Z =    3x1 + 2x2
Subject to:    2x1 + 3x2 ? 12
    5x1 + 8x2 ? 37
    x1, x2 ? 0
At the optimal solution point, the objective function value is 18. If the constraints are changed from greater than to less than constraints and the objective function is changed from minimize to maximize, what happens to the optimal solution? Demonstrate whether it falls at the same optimal point.

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Definitions:

Days

The basic unit of time, equal to 24 hours, used to measure duration from one midnight to the next.

Interest Earned

The amount of money made on an investment over a certain period of time due to interest.

Account

A record or arrangement by which an individual or organization keeps track of their financial transactions and balances with a financial institution.

Days

Units of time that represent a 24-hour period, used to measure durations and intervals.