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Q2. Maximise 1170x1 + 1110x2

Subject to: 9x1 + 5x2 ≥ 500

7x1 + 9x2 ≥ 300

5x1 + 3x2 ≤ 1500

7x1 + 9x2 ≤ 1900

2x1 + 4x2 ≤ 1000

x1, x2 ≥ 0

-Find graphically the feasible region and the optimal solution.


Convert the following linear programming problem into dual

problem.

Maximise

Z = 22x1 + 25x2 +19x3

Subject to:

18x1 + 26x2 + 22x3 ≤ 350

14x1 + 18x2 + 20x3 ≥180

17x1 + 19x2 + 18x3 = 205

x1, x2, x3 ≥ 0


Maximise 1170x1 + 1110x2

Subject to: 9x1 + 5x2 ≥ 500

7x1 + 9x2 ≥ 300

5x1 + 3x2 ≤ 1500

7x1 + 9x2 ≤ 1900

2x1 + 4x2 ≤ 1000

x1, x2 ≥ 0

-Find graphically the feasible region and the optimal solution


I need operational research answers


Solve the game


solve the game


. A bed mart company is in the business of manufacturing beds and pillows. The company has 40 hours for assembly and 32 hours for finishing work per day. Manufacturing of a bed requires 4 hours for assembly and 2 hours for finishing. Similarly a pillow requires 2 hours for assembly and 4 hours for finishing. Profitability analysis indicates that every bed would contribute Birr 80, while a pillow contribution is Birr 55 respectively. Find out the daily production of the company to maximise the contribution (profit). Solve the problem by graphical method.


A bed mart company is in the business of manufacturing beds and

pillows. The company has 40 hours for assembly and 32 hours for

finishing work per day. Manufacturing of a bed requires 4 hours for

assembly and 2 hours for finishing. Similarly a pillow requires 2 hours

for assembly and 4 hours for finishing. Profitability analysis indicates

that every bed would contribute Birr 80, while a pillow contribution is

Birr 55 respectively. Find out the daily production of the company to

maximise the contribution (profit). Solve the problem by graphical

method.


A bed mart company is in the business of manufacturing beds and



pillows. The company has 40 hours for assembly and 32 hours for



finishing work per day. Manufacturing of a bed requires 4 hours for



assembly and 2 hours for finishing. Similarly a pillow requires 2 hours



for assembly and 4 hours for finishing. Profitability analysis indicates



that every bed would contribute Birr 80, while a pillow contribution is



Birr 55 respectively. Find out the daily production of the company to



maximise the contribution (profit). Solve the problem by graphical



method.


Solve the following LPP using two phase method


Max Z= 2x1+3x2+10x3


subject to x1+2x3=0


x2+x3=1


x1,x2,x3≥0


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