What is operations research? Why operations research is important in the field of Mechanical Engineering?
Alumco manufacturers Aluminum sheets and Aluminum bars. The maximum production capacity is estimated at either 800 sheets or 600 bars per day. The maximum daily demand is 550 sheets and 560 bars. The profit per ton is $40 per sheet and $35 per bar. Formulate the problem as a linear programming problem.
Use graphical method to solve the following problem
Maximizez=2x1+3x2Maximize \quad z = 2x_1 + 3x_2Maximizez=2x1+3x2
Subject tox1+x2≤1Subject \ to \quad x_1 + x_2 \le 1Subject tox1+x2≤1
3x1+x2≤43x_1 + x_2 \le 43x1+x2≤4
x1,x2≥0x_1, x_2 \ge 0x1,x2≥0
State 3 advantages and 3 disadvantages of decision tree approach.
Solve the following by cutting plane algorithm Minimize z=6x1+2x2z = 6x_1 + 2x_2z=6x1+2x2 Subject to 3x1+2x2=53x_1 + 2x_2 = 53x1+2x2=5 x1,x2≥0 and integersx_1, x_2 \geq 0 \text{ and integers}x1,x2≥0 and integers