Answer to Question #85991 in Math for Santosh Ji

Question

Which of the following statements are true?Give reasons for your answers in each of the following parts.
(i)The solution x_1=1,x_2=2,x_3=x_4=x_5=0 of the equations:
2x_1+x_2+x_3+x_4=4
2x_1+x_2+2x_3+x_5=4 is a solution.
(ii)The number of basic variables in a feasible solution of a balanced transportation problem with m sources and n destinations is mn.
(iii)A pay-off matrix can posses more than one saddle-point in case of a pure strategy game problem.
(iv)(1,2) is an optimal solution of LPP
"Max. z=2x_1+4x_2
s.t. x_1+2x_2≤5
x_1+x_2≤4
x_1≥0
x_2≥0."
(v)AUB is a convex set,where A={(x_1,x_2)|x_1+x_2≤8,2x_1+x_2≥10,x_1≥0,x_2≥0} and B={(x_1,x_2)|x_1+x_2≥8,2x_1+x_2≤10,x_1≥0,x_2≥0}.

Answer 1

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