The assumption that is necessary for a linear programming model ...

[Garrulous]

The assumption that is necessary for a linear programming model to be appropriate and that ensures that the value of the objective function and the total resources used can be found by summing the objective function contribution and the resources used for all decision variables is known as
 a. proportionality. b. negativity.
  c. additivity. d. divisibility.

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. Are the events of pulling first ball is red then a purple one independent or dependent?

[cdmart10]

Answer to Question 1

c
RATIONALE: The additivity assumption means that the value of the objective function and the total resources used can be found by summing the objective function contribution and the resources used for all decision variables.

Answer to Question 2

dependent
RATIONALE: The sample space of the first event is 12 balls, but the sample space of the second event is now 11 balls (because the first ball is not replaced). Therefore, the events are dependent.

[Garrulous]

Thanks for the timely response, appreciate it

[smrtceo]

Great answer, keep it coming