# grand canyon MGt455 quiz 8

Question

Refer to the diagram above. Your manager believes that X1 can be set to 10 and that X2 can be set to 10. What do you tell the manager?

Yes. This is an acceptable combination of X1 and X2

No. This is not an acceptable combination of X1 and X2

Not enough information to determine

A waiting line model meeting the assumptions of M/M/1 has an arrival rate of 2 per hour and a service rate of 6 per hour; the utilization factor for the system is approximately:

0.33

0.25

3.00

0.67

A queuing model which follows the M/M/1 assumptions has

and

The average number of units waiting in the queue is approximately:

0.27

1.00

0.13

3.70

0.02

Assume that X1 is the horizontal axis, and that X2 is the vertical axis. A linear programming problem has the following constraint: X2 ≤ 10. On a graph, this constraint would be a:

horizontal line intersecting the X2 axis at 10

vertical line intersecting the X2 axis at 10

vertical line intersecting the X1 axis at 10

none of the above

A queuing model which follows the M/M/1 assumptions has l = 18 and m = 22. The average waiting time in the queue is approximately:

0.205

0.055

4.5

0.135

3.680

0.50

• Refer to Scenario 4. Assume that the profit equation is $110X1 + $150X2 What is the profit at (0, 10)?

•

Enlarged View

o

$1,200

o

$1,500

o

$1,100

o

$0

A queuing model which follows the M/M/1 assumptions has l = 18 and m = 22. The average number of units waiting in the queue is approximately:

0.59

1.54

3.68

0.20

0.31

A waiting line model meeting the assumptions of M/M/1 has an arrival rate of 18 per hour and a service rate of 22 per hour; the utilization factor for the system is approximately:

0.82

1.50

0.22

1.00

0.96

Refer to Scenario 4. Assume that the profit equation is $110X1 + $150X2 What is the profit at (0, 20)?

MGTExam8_Question22to29.png

Enlarged View

$6,000

$2,000

$3,000

$1,500

A queuing model which follows the M/M/1 assumptions has

and

The average number of units in the system is approximately:

4

2.5

5

2

0.83

Scenario 3

John’s Locomotive Works manufactures a model locomotive. It comes in two versions–a standard (S), and a deluxe (D). The standard version locomotive (S) generates $150 profit per unit. The deluxe version locomotive (D) generates $450 profit per unit.

One constraint on John’s production is labor hours. He only has 40 hours per week of available labor. The standard version requires 8 hours per unit, while the deluxe version requires 4 hours per unit.

John’s milling machine is also a constraint. There are only 60 hours a week available for the milling machine. The standard version requires 1 hour per unit, while the deluxe version requires 2 hours per unit.

Assume (S,D >= 0). John’s goal is to maximize profit.

Refer to Scenario 3. The constraint equation for Labor is:

1S + 2D ≥ 60

8S + 4D ≤ 40

1S + 2D ≤ 60

8S + 4D ≥ 40

If the demand for product A is 120 units, and there are 30 units of B in inventory and 10 units of C in inventory, how many units of part E will be needed?

MGTExam8_Question9.png

Enlarged View

80

60

140

110

90

Refer to Scenario 1. If the demand for product A is 80 units, what will be the gross requirement for component F?

MGT455Exam4_Scenario1.png

Enlarged View

160

50

240

300

A queuing model which follows the M/M/1 assumptions has a probability of having 0 units in the system of 0.40. The probability that the service unit is idle is:

0.40

1.20

2.50

0.80

0.20

• If the demand for product A is 80 units, and there are 20 units of C in inventory and none of B in inventory, how many units of part F will be needed?

•

Enlarged View

o

160

o

220

o

90

o

60

o

80

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