Q2) i think we use simplex method. can you solve it? thx. Obj. Function ; Max Z = 2x1 + 6x2 + 5x3 Constraints; Raw Material, x1 + x2 + x3 40 Energy, x1 + 2x2 20 x1 0, x2 0, x3 0

	Cj	2	6	5	0	0	Result
objective coefficient	basic variable	X1	X2	X3	S1	S2
5	X3	0,5	0	1	1	-0,5	30
6	X2	0,5	1	0	0	0,5	10
	Zj	5,5	6	5	5	0,5	210
	Cj - Zj	-3,5	0	0	-5	-0,5

Linear programming model and optimum solution table where three products such as x1, x2, x3 are produced with raw material and energy inputs are given as above. Accordingly (50 Points), a) What should be the objective coefficient in order for x1 to enter the optimum solution? Please explain briefly. b) What should be the objective coefficient for the x3 property to get out of solution? c) If the input composition of commodity x1 changes

from

[	1	]
	1

to

[	2	]
	3

,what effect would this have on the optimum solution? d) Calculate the sensitivity intervals for the input quantities used in production. e) How does the optimum solution change if

b=(	40	)
	20

to

b=(	30	)
	60

If the input quantities of 40 and 20 units change to 30 and 60 units respectively, will the optimum solution change? Calculate.