solve foll task

1. Burnside Marketing Research conducted a study for Barker Foods on some designs for a new dry cereal. Three attributes were found to be most influential in determining which cereal had the best taste: ratio of wheat to corn in the cereal flake, type of sweetener (sugar, honey, or artificial), and the presence or absence of flavor bits. Seven children participated in taste tests and provided the following part-worths for the attributes:

	WHEAT/CORN		SWEETENER			FLAVOR BITS
Child #	Low	High	Sugar	Honey	Artificial	Present	Absent
1	15	35	30	40	25	15	9
2	30	20	40	35	35	8	11
3	40	25	20	40	10	7	14
4	35	30	25	20	30	14	18
5	25	40	40	20	35	18	14
6	20	25	20	35	30	9	16
7	30	15	25	40	40	20	11

Assume that the overall utility (sum of part-worths) of the current favorite cereal is 70 for each child. Your job is to design a product that will maximize the share of choices for the seven children in the sample. (We have discussed a similar example in class).

Question: Suppose that the optimal solution indicates a cereal with - high wheat/corn ratio, artificial sweetener and flavor bits. Then, Child # 3 will prefer this optimal cereal.

Group of answer choices

.a.False

b.True

c.Cannot be determined unless utility for default cereal is given.

d.Cannot be determined unless optimal attributes chosen are also given.

2.

Suppose we are deciding which projects to implement in the upcoming year. Let's represent each project using a binary variable so that whether or not we do project 1 is represented by P1, Project 2 is represented by P2, and so on.

The managers decide that to complete Project 2, Project 1 must be finished first but Project 3 CANNOT be done. Which pair of constraints capture this requirement?

Group of answer choices

a.P2 <= P1 and P2 >= P3

b.P2 <= P1 and P2 <=P3

c.P2 <= P1 and P2 +P3 <=1

d.P2 >= P1 and P2 +P3 <=1

e.P2 = P1 and P2 +P3 <=1

3.

Burnside Marketing Research conducted a study for Barker Foods on some designs for a new dry cereal. Three attributes were found to be most influential in determining which cereal had the best taste: ratio of wheat to corn in the cereal flake, type of sweetener (sugar, honey, or artificial), and the presence or absence of flavor bits. Seven children participated in taste tests and provided the following part-worths for the attributes:

	WHEAT/CORN		SWEETENER			FLAVOR BITS
Child #	Low	High	Sugar	Honey	Artificial	Present	Absent
1	15	35	30	40	25	15	9
2	30	20	40	35	35	8	11
3	40	25	20	40	10	7	14
4	35	30	25	20	30	14	18
5	25	40	40	20	35	18	14
6	20	25	20	35	30	9	16
7	30	15	25	40	40	20	11

Assume that the overall utility (sum of part-worths) of the current favorite cereal is 70 for each child. Your job is to design a product that will maximize the share of choices for the seven children in the sample. (We have discussed a similar example in class).

Question: Suppose that the optimal solution indicates a cereal with - high wheat/corn ratio, artificial sweetener and no flavor bits. Then, ____ children will prefer this optimal cereal.

Group of answer choices

a.Cannot be determined unless optimal attributes chosen are also given.

b.2

c.3

d.4

e.Cannot be determined unless utility for default cereal is given.

4.

In general, the Travelling Salesperson Problem can be modeled as a(n) ___________ and the Fixed Cost Problem where the production can be in partial units can be modeled as a(n) _____________.

Group of answer choices

a.All-Integer Problem, All-Integer Problem

b.Binary Problem, All-Integer Problem

c.Mixed Integer Problem, Binary Problem

d.Binary Problem, Mixed Integer Problem

e.All-Integer Problem, Binary Problem

5.

Burnside Marketing Research conducted a study for Barker Foods on some designs for a new dry cereal. Three attributes were found to be most influential in determining which cereal had the best taste: ratio of wheat to corn in the cereal flake, type of sweetener (sugar, honey, or artificial), and the presence or absence of flavor bits. Seven children participated in taste tests and provided the following part-worths for the attributes:

	WHEAT/CORN		SWEETENER			FLAVOR BITS
Child #	Low	High	Sugar	Honey	Artificial	Present	Absent
1	15	35	30	40	25	15	9
2	30	20	40	35	35	8	11
3	40	25	20	40	10	7	14
4	35	30	25	20	30	14	18
5	25	40	40	20	35	18	14
6	20	25	20	35	30	9	16
7	30	15	25	40	40	20	11

Assume that the overall utility (sum of part-worths) of the current favorite cereal is 80 for each child. Your job is to design a product that will maximize the share of choices for the seven children in the sample. (We have discussed a similar example in class).

Question:

Which child would definitely not switch from his/her current favorite cereal?

Group of answer choices

a.All of the children may switch, given the appropriate options.

b.Child #7

c.Child #6

d.Child #5

e.Child #4