# solution

Q1. Which of the following correctly describes the focus of the Critical Path Method (CPM)?

A) To determine when a project should be completed and to schedule when each activity in the project must begin in order to keep the project on schedule

B) To order activities in a project in terms of their completion time to facilitate scheduling of the activities

C) To structure the activities of a project in order to eliminate or reduce critical dependencies among the activities

D) To estimate the probability of completing a project by a given deadline when the time required to perform the activity is essentially a random variable

Q2. For the LP model below, how does the right-hand side in LP look like?

MAX: 150X1 + 250X2

Subject to:

• 2X1 + 5X2 = 200

• 3X1 + 7X2 = 175

• X1, X2 = 0

A) c(3,7)

B) c(200, 175)

C) c(2,5)

D) c(175,200)

Q3. For the LP model below, what is the matrix of constraints coefficients like?

MAX: 150X1 + 250X2

Subject to:

• 2X1 + 5X2 = 200

• 3X1 + 7X2 = 175

• X1, X2 = 0

A) matrix(c(2,3,5,7), nrow=2, byrow=TRUE)

B) matrix(c(2,5,3,7), nrow=2, byrow=TRUE)

C) matrix(c(2,5,3,7), nrow=2, byrow=FALSE)

D) matrix(c(2,5,3,7), nrow=4, byrow=TRUE)

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