1. Use the Simplex method to solve the following problem: Maximise z = 4rı + 6x2 Subject to: -x1 + 22 < 11 21 + x2 < 27 2r1 + 5x2 < 90 *1, 22 2 0.
1. Use the Simplex method to solve the following problem: Maximise z = 4rı + 6x2 Subject to: -x1 + 22 < 11 21 + x2 < 27 2r1 + 5x2 < 90 *1, 22 2 0.
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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1. Use the Simplex method to solve the following problem:
Maximise z = 4.x1 + 6x2
Subject to:
-x1 + x2 < 11
X1+ x2 < 27
2x1 + 5x2 < 90
X1, x2 > 0.
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2. A Farmer has 20 hectares for growing barley and swedes. The farmer has to decide how
much of each to grow. The cost per hectare for barley is R30 and for swedes is R20. The
farmer has budgeted R480.
Barley requires 1 man-day per hectare and swedes require 2 man-days per hectare. There
are 36 man-days available.
The profit on barley is R100 per hectare and on swedes is R120 per hectare.
Find the number of hectares of each crop the farmer should sow to maximize profits.
NB: DO NOT SOLVE, GIVE ONLY THE MATHEMATICAL FORMULA-
TION FOR THIS PROBLEM.
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