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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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 51RE
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Document1 - Microsoft Word File Home Insert Page Layout References Mailings Review View * Cut A Find - Calibri (Body) - A A := 三,年,章 外 11 Aa AaBbCcDd AaBbCcDd AaBbC AaBbCc AaB AaBbCci AaBbCcDd AaBbCcDd AaBbCcDa AaBbCcDc AaBbCcDd e Copy ae Replace Paste B V Format Painter U - abe x, x' I Normal I No Spacing Heading 1 Heading 2 Subtle Emp. Change Title Subtitle Emphasis Intense Em... Strong Quote A Select - Styles - Clipboard Font Paragraph Styles Editing 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. Page: 1 of 1 Words: 0 100% 11:39 AM O Type here to search W 5/4/2021 > « o » +
Transcribed Image Text:Document1 - Microsoft Word File Home Insert Page Layout References Mailings Review View * Cut A Find - Calibri (Body) - A A := 三,年,章 外 11 Aa AaBbCcDd AaBbCcDd AaBbC AaBbCc AaB AaBbCci AaBbCcDd AaBbCcDd AaBbCcDa AaBbCcDc AaBbCcDd e Copy ae Replace Paste B V Format Painter U - abe x, x' I Normal I No Spacing Heading 1 Heading 2 Subtle Emp. Change Title Subtitle Emphasis Intense Em... Strong Quote A Select - Styles - Clipboard Font Paragraph Styles Editing 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. Page: 1 of 1 Words: 0 100% 11:39 AM O Type here to search W 5/4/2021 > « o » +
Document1 - Microsoft Word File Home Insert Page Layout References Mailings Review View * Cut A Find - Calibri (Body) - A A := 三,年,章 外 11 Aa AaBbCcDd AaBbCcDd AaBbC AaBbCc AaB AaBbCci AaBbCcDd AaBbCcDd AaBbCcDa AaBbCcDc AaBbCcDd e Copy ae Replace Paste B V Format Painter U - abe x, x' I Normal I No Spacing Heading 1 Heading 2 Subtle Emp. Change Title Subtitle Emphasis Intense Em... Strong Quote A Select - Styles - Clipboard Font Paragraph Styles Editing 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. Page: 1 of 1 Words: 0 100% O Type here to search W 11:40 AM 5/4/2021 > « o » +
Transcribed Image Text:Document1 - Microsoft Word File Home Insert Page Layout References Mailings Review View * Cut A Find - Calibri (Body) - A A := 三,年,章 外 11 Aa AaBbCcDd AaBbCcDd AaBbC AaBbCc AaB AaBbCci AaBbCcDd AaBbCcDd AaBbCcDa AaBbCcDc AaBbCcDd e Copy ae Replace Paste B V Format Painter U - abe x, x' I Normal I No Spacing Heading 1 Heading 2 Subtle Emp. Change Title Subtitle Emphasis Intense Em... Strong Quote A Select - Styles - Clipboard Font Paragraph Styles Editing 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. Page: 1 of 1 Words: 0 100% O Type here to search W 11:40 AM 5/4/2021 > « o » +
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