1. Answer this question with respect to the CONSULTANT PROBLEM posted in Canvas (Test 6 Output document above). Any proposed changes to the CONSULTANT PROBLEM pertain only to that problem. Do not carry forward changes made in one problem to another problem. Assume that Avery falls sick and loses 30 hours of her work schedule. (and all other parameters are as stated in the original problem). Which of the following statements is true?

The demand for clients A, B and C will now have to be forcibly reduced by 10.

The supply at Averys node reduces to 150

The objective function coefficient will now change in response to Averys sickness.

A dummy supply node with a supply of 10 will have to be added to the problem.

2. Answer this question with respect to the CONSULTANT PROBLEM posted in Canvas (Test 6 Output document above). Any proposed changes to the CONSULTANT PROBLEM pertain only to that problem. Do not carry forward changes made in one problem to another problem. Assume that Avery gets into an argument with client C and client C indicates that Avery is not wanted on her project. (and all other parameters are as stated in the original problem). Which of the following statements is true?

Avery gets assigned to client C immediately

Campbell gets assigned to client C immediately.

Arc X23 is removed from the problem formulation (or set = 0)

Arc X13 is removed from the problem formulation (or set = 0)

3. Answer this question with respect to the CONSULTANT PROBLEM posted in Canvas (Test 6 Output document above). Any proposed changes to the CONSULTANT PROBLEM pertain only to that problem. Do not carry forward changes made in one problem to another problem. Assume that Client C suddenly increases the number of required hours from 100 to 140. In solving the CONSULTANT PROBLEM, which of the following statements becomes true?

X13+ X23 + X33 + X43 = 140 is now a demand constraint of the problem

X31+ X32 + X33 + X34 = 140 is now a constraint in the problem

The profit of the Baker-Client C arc now becomes 140

Bakers supply increases to 140

4. Answer this question with respect to the CONSULTANT PROBLEM posted in Canvas (Test 6 Output document above). Any proposed changes to the CONSULTANT PROBLEM pertain only to that problem. Do not carry forward changes made in one problem to another problem. Assume that Avery falls sick and loses 30 hours of her work schedule. (and all other parameters are as stated in the original problem). Which of the following statements is true?

The new constraint is X41+ X42 + X43 + X44 20

The new constraint is X11 + X12 + X13 + X14 130

The new constraint is X11 + X21 + X31 + X41 = 130

The new constraint is X41+ X42 + X43 + X44 = 130

Management Science Test OUTPUTS 1. THE TEA BLENDING PROBLEM EASYT manufactures tea by blending two kinds of tea leaves Type 1 and Type 2 . The cost per pound and the available pounds of each type of tea leaf are stated below. Consumer tests were used to provide ratings on a scale of 1-100 with higher ratings indicating higher quality. Product quality ratings require at least a minimum rating of 80 for TASTE and a minimum rating of 75 for AROMA. The individual taste and aroma ratings for the two types of tea are as below. Assume that aroma and taste attributes will be a weighted average of the attributes of the tea leaves (types) used in a blend. Assume the following: a) A 1000 pounds of blended tea is to be produced using the minimum quality for taste and aroma. b) X1= pounds of type 1 tea used in the blend c) X2 = pounds of type 2 tea used in the blend Formulate a linear programming problem to identify the pounds of Type 1 and Type 2 teas to be blended, in order to minimize total cost of the blend, while meeting quality standards and any other problem constraints. The above problem was also solved with some Linear Programming solver and a portion of the constraint set (along with optimal solution values in BLUE) is shown (the dual variables are also in blue to the right of the constraints): 2. THE CONSULTANT PROBLEM on your test is based on Problem 5: Page 293 from the book. The INITIAL problem network is shown below for your convenience. On your test, some of these problem parameters may be changed. PLEASE ALSO REFER TO THE PROBLEM ON PAGE 293 OF THE BOOK TO GET THE FULL PICTURE AND TO BE ABLE TO ANSWER ALL QUESTIONS ON THE TEST. WE WILL CALL THIS PROBLEM THE CONSULTANT PROBLEM ON YOUR TEST. IN ANSWERING THIS QUESTION ASSUME THAT: Avery = Supply Node 1, Baker = Supply Node 2, Campbell = Supply Node 3. If a dummy supply node is ever added, it becomes supply node 4 . Client A= Demand node 1, Client B= Demand node 2, Client C= Demand 3, Client D = Demand 4. So the objective function coefficient on flow arc X23 =115