The ___________ assumption necessary for a linear programming ...

[Melani1276]

The ___________ assumption necessary for a linear programming model to be appropriate, means that the contribution to the objective function and the amount of resources used in each constraint are in accordance to the value of each decision variable.
 a. proportionality b. divisibility
  c. additivity d. negativity

Question 2

A bucket contains 2 red balls, 4 yellow balls, and 5 purple balls. One ball is taken from the bucket and then replaced. Another ball is taken from the bucket. What is the probability that the first ball is red and the second ball is purple?

[vickybb89]

Answer to Question 1

a
RATIONALE: The proportionality assumption necessary for a linear programming model to be appropriate, means that the contribution to the objective function and the amount of resources used in each constraint are in accordance to the value of each decision variable.

Answer to Question 2

10/121
RATIONALE: The events are independent, so the multiplication law for independent events can be used to calculate the joint probability.

P(red then purple) = P(red)  P(purple) = 2/11  5/11 = 10/121