Author Question: In a linear programming model, the __________ assumption plus the nonnegativity constraints mean ... (Read 229 times)

ereecah · **on:** Jun 24, 2018

In a linear programming model, the __________ assumption plus the nonnegativity constraints mean that decision variables can take on any value greater than or equal to zero.
a. proportionality b. divisibility
c. additivity d. negativity

Question 2

A bucket contains 3 red balls, 4 yellow balls, and 5 purple balls. One ball is taken from the bucket and is not replaced. Another ball is taken from the bucket. What is the probability that the first ball is red and the second ball is purple?

yuyiding · **Reply #1 on:** Jun 24, 2018

Answer to Question 1

b
RATIONALE: In a linear programming model, the assumption divisibility means that the decision variables are continuous. The divisibility assumption plus the nonnegativity constraints mean that decision variables can take on any value greater than or equal to zero.

Answer to Question 2

5/44
RATIONALE: The events are dependent therefore the probability is calculated as P(red then purple) = P(red) P(purple) = 3/12 5/11 = 15/132 = 5/44