question_answer

The objective function \[z=4x+3y\] can be maximized subjected to the constraints \[3x+4y\le 24\], \[8x+6y\le 48\], \[x\le 5,\ y\le 6;\ \ x,\ y\ge 0\]

A)                 At only one point            

B)                 At two points only

C)                 At an infinite number of points

D)                 None of these

Correct Answer: C

Solution :

                Obviously, the optimal solution is found on the line which is parallel to ?isoprofit line?. Hence it has infinite number of solution.