Let T_i = normal completion time for task iR_i = crash completion time for task i C_i = normal cost for task i H_i = crash cost for task i X_i = start time for task i Y_i = amount of time by which task i is to be crashed. What is the objective function of a linear programming model for project crashing? A)$\Sigma$_{all i} Y_i(H_i - C_i)/(T_i - R_i) B)$\Sigma$_{all i on critical path} Y_i(H_i - C_i)/(T_i - R_i) C)$\Sigma$_{all i} X_iY_i D)$\Sigma$_{all i} Y_iH_i

Question

Quizplus · Accepted Answer

The objective function of a linear programming model for project crashing is to minimize the total cost of crashing the project. The total cost of crashing is the sum of the cost of crashing each task, which is equal to the difference between the normal cost and the crash cost of the task, multiplied by the amount of time by which the task is to be crashed. The objective function is therefore:F1F1F1S1F1F1F10_{all i} Y_i(H_i - C_i)/(T_i - R_i)

Let Ti = Normal Completion Time for Task IRi = Σ\SigmaΣ

Let T_i = Normal Completion Time for Task IR_i = $\Sigma$