MG 670 Test 1 | Course Paper

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Stone Age Surfboards is a small manufacturer of two types of popular low-tide

surfboards, the Graystone and the Lava models. The manufacturing process consists of

two departments: fabrication and finishing. The fabrication department has 8 skilled

workers, each of whom works 9.25 hours per day. The finishing department has 5

workers, each of whom works a 6 -hour shift per day. Each pair of Graystone

surfboards requires 2.5 labor hours in the fabrication department and 2 labor hours in

finishing. The Lava model requires 4.2 labor-hours in fabrication and 3.6 labor-hours in

finishing. The company operates 6 days a week. It makes a per unit profit of $40 on the

Graystone model and $60 on the Lava model. The company anticipates selling at least

twice as many Lava models as Graystone models.

What is the total number of hours used for fabrication?

A) 54.5

B) 30.0

C) 35.5

D) 43.8

In the ________ method, the distance between groups is defined as the distance

between the closest pair of objects, where only pairs consisting of one object from each

group are considered. A) Ward’s linkage clustering

B) single linkage clustering

C) divisive clustering

D) average group linkage clustering

During which phase in problem solving is a formal model often developed?

A) analyzing the problem

B) structuring the problem

C) defining the problem

D) implementing the solution

Validation data sets differ from training data sets in that validation data sets ________.

A) have known outcomes

B) test a model with unseen data

C) are used to teach data-mining algorithms

D) provide the most realistic test for models with known data

In an event X, the probability of rolling a sum of 8 on two dice is 5/36 while the

probability of

rolling an 11 is 2/36. In another event Y, the probability of rolling a 2 is 1/36, the

probability of

rolling a 9 is 4/36, and the probability of rolling a 4 is 3/36.

Consider an event Z that includes all outcomes of rolling two dice whose sum is odd.

What is the probability that either event Y or Z occurs?

A) 26/36

B) 22/36

C) 10/36

D) 18/36

Use the table below to answer the following question(s) using the standard Solver.

Below is the spreadsheet for a plant location model:

Which of the following constraints is used in Solver?

A) $F$16:$F$19 >= $F$6:$F$9

B) $B$20:$E$20 < $B$10:$E$10

C) $B$20:$E$20 = binary

D) $F$16:$F$19 <= $F$6:$F$9

Which of the following is included in the data mining approach of data exploration and

reduction?

A) analyzing data to predict how to classify a new data element

B) identifying groups in which the elements of the groups are in some way similar

C) creating rules for target marketing based on association of variables

D) developing analytic models to describe the relationship between metrics

Stone Age Surfboards is a small manufacturer of two types of popular high-tide

surfboards, the Rockwell and the Limestone models. The manufacturing process

consists of two departments: fabrication and finishing. The fabrication department has

15 skilled workers, each of whom works 5 hours per day. The finishing department has

5 workers, who also work a 5-hour shift. Each pair of Rockwell surfboards requires 3

labor hours in the fabrication department and 1.5 labor hours in finishing. The

Limestone model requires 4.5 labor- hours in fabrication and 2 labor-hours in finishing.

The company operates 6 days a week. It makes a per-unit profit of $60 on the Rockwell

model and $75 on the Limestone model. Approximately 4.1 Rockwell models and 8.4

Limestone models are produced per day.

What is the total number of hours used for the finishing operation?

A) 42.58

B) 50.10

C) 35.64

D) 22.95

Below is a spreadsheet for Stone Age Surfboards.

Assume that the finishing time for a pair of Rockwell surfboards is triangular with a

minimum value of 1.4, a most likely value of 1.5, and a maximum value of 1.8 and that

finishing time for a pair of Limestone surfboards is also triangular with a minimum

value of 1.8, a most likely value of 2.0, and a maximum value of 2.4. The number of

trials per simulation is equal to 5000.

How often will overtime be needed if 4.55 Rockwell and 9.09 Limestone surfboards,

the optimal solution, are scheduled each day?

A) more than 60%

B) more than 87%

C) more than 75%

D) more than 52%

Shirley Templeton is a real estate agent for Paralol Realty. Shirley is given the

responsibility to manage potential customers for 5 of the Realty’s bungalows. These 5

bungalows are situated in close proximity. In order to make traveling easier, Shirley

decides to move to a location closer to the 5 bungalows. The table below gives the

location (X and Y coordinates) of the 5 bungalows along with the number of trips she

would have to make to each bungalow. Create a nonlinear model based on the data

given in the table below noting that the objective is to reduce the weighted distance

between Shirley’s accommodation and the 5 bungalows.

According to the model, what is the distance between Shirley’s new accommodation

and Bungalow 3?

A) 54.62

B) 25.08

C) 36.53

D) 23.12

Which of the following will hold true if events X and Y are independent?

A) P(X) = P(Y) P(X and Y)

B) P(Y) = P(X|Y)

C) P(X and Y) = [P(X) + P(Y)] – P(X or Y) D) P(X) = P(X|Y)