Statistics - Which of the following is not a property of linear programs

Which of the following is not a property of linear programs?

Question 1 options:

	one objective function
	objective function and constraints are linear
	one or more constraints
	at least two separate feasible regions
	alternative courses of action

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Question 2(2.5 points)

When a constraint line bounding a feasible region has the same slope as an isoprofit line,

Question 2 options:

	none of these
	an error has been made in the problem formulation.
	there may be more than one optimum solution.
	a condition of infeasibility exists.
	the problem involves redundancy.

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Question 3(2.5 points)

A feasible solution to a linear programming problem

Question 3 options:

	need not satisfy all of the constraints, only the non-negativity constraints.
	must give the maximum possible profit.
	must give the minimum possible cost.
	must be a corner point of the feasible region.
	must satisfy all of the problem's constraints simultaneously.

Question 7(2.5 points)

Woofer Pet Foods produces a low-calorie dog food for overweight dogs. This product is made from beef products and grain. Each pound of beef costs $0.90 and each pound of grain costs $0.60. A pound of dog food must contain at least 9 units of Vitamin 1 and 10 units of Vitamin 2. A pound of ground beef contains 10 units of Vitamin 1 and 12 units of Vitamin 2. A pound of grain contains 6 units of Vitamin 1 and 9 units of Vitamin 2. In addition there is a constraint that the total must equal exactly 1 pound (hint: 1x1 + 1x2 = 1).

The vitamin 2 constraint for this model is:

Question 7 options:

	10B + 6G <= 9
	10B + 6G >= 9
	Min Z = 0.9 B + 0.6 G
	Max Z = 0.9 B + 0.6 G
	12V1 + 9V2 >= 10
	12B + 9G >= 10
	Min Z = 10V1 +12V2

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Question 8(2.5 points)

Woofer Pet Foods produces a low-calorie dog food for overweight dogs. This product is made from beef products and grain. Each pound of beef costs $0.90 and each pound of grain costs $0.60. A pound of dog food must contain at least 9 units of Vitamin 1 and 10 units of Vitamin 2. A pound of ground beef contains 10 units of Vitamin 1 and 12 units of Vitamin 2. A pound of grain contains 6 units of Vitamin 1 and 9 units of Vitamin 2. In addition there is a constraint that the total must equal exactly 1 pound (hint: 1x1 + 1x2 = 1).

The vitamin 1 constraint for this model is:

Question 8 options:

	Min Z = 0.9 B + 0.6 G
	10B + 6G >= 9
	Min Z = 10V1 +12V2
	Max Z = 0.9 B + 0.6 G
	12V1 + 9V2 >= 10
	10B + 6G <= 9
	12B + 9G >= 10

Question 13(2.5 points)

The customer who arrives at a bank, sees a long line, and leaves to return another time is

Question 13 options:

	none of these
	reneging.
	cropping.
	balking.
	blithering.

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Question 14(2.5 points)

An arrival in a queue that reneges is one who

Question 14 options:

	goes through the queue, but never returns.
	after joining the queue, becomes impatient and leaves.
	jumps from one queue to another, trying to get through as quickly as possible.
	refuses to join the queue because it is too long.
	none of these

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Question 15(2.5 points)

In queuing theory, the calling population is another name for ________.

Question 15 options:

	the servers
	the market researchers
	the queue size
	the arrivals
	the service rate

Question 16(2.5 points)

Use the following information to answer the next few questions:
An immigration agent at Ataturk airport in Istanbul, Turkey on the average could process 120 entrants during an 8 hour shift, if she was busy all the time. The number of arrivals is based on a Poisson distribution and the time to process each entrant is a random variable with an exponential distribution. On the average, an entrant arrives at her station once every 6 minutes. Determine the average number of people waiting in line.

Question 16 options:

	1.33
	0.09
	0.05
	0.27
	2

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Question 17(2.5 points)

Use the following information to answer the next few questions:
An immigration agent at Ataturk airport in Istanbul, Turkey on the average could process 120 entrants during an 8 hour shift, if she was busy all the time. The number of arrivals is based on a Poisson distribution and the time to process each entrant is a random variable with an exponential distribution. On the average, an entrant arrives at her station once every 6 minutes. Determine the probability that more than 3 people will be in line.

Question 17 options:

	3%
	80%
	10%
	20%

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Question 18(2.5 points)

Use the following information to answer the next few questions:
An immigration agent at Ataturk airport in Istanbul, Turkey on the average could process 120 entrants during an 8 hour shift, if she was busy all the time. The number of arrivals is based on a Poisson distribution and the time to process each entrant is a random variable with an exponential distribution. On the average, an entrant arrives at her station once every 6 minutes. Determine how busy the immigration agent is.

Question 18 options:

	5%
	8%
	40%
	67%
	33%

Question 19(2.5 points)

Use the following information to answer the next few questions. A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution while service times follow an exponential distribution. If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes, what is the average number of customers waiting in line behind the person being served?

Question 19 options:

	0.50
	none of these
	2.25
	0.75
	3.00

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Question 20(2.5 points)

Use the following information to answer the next few questions. A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution while service times follow an exponential distribution. If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes, what proportion of the time is the server busy?

Question 20 options:

	0.25
	2.25
	3.00
	0.75
	0.50

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Question 21(2.5 points)

Use the following information to answer the next few questions. A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes, what is the average number of customers in the system?

Question 21 options:

	0.50
	3.00
	4.00
	2.25
	none of these

Question 22(2.5 points)

In assigning random numbers in a Monte Carlo simulation,

Question 22 options:

	it is important to use a normal distribution for all variables simulated.
	it is not important to assign probabilities to an exact range of random number intervals.
	it is important to develop a cumulative probability distribution.
	all of these
	none of these

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Question 23(2.5 points)

The gambling game that most closely resembles a random number simulation is

Question 23 options:

	Roulette
	Black Jack
	Poker
	Craps

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Question 24(2.5 points)

The use of simulation to examine corporate operations (industrial dynamics), national economies (econometric models), and urban governments is known as

Question 24 options:

	all of these
	systems simulation.
	Monte Carlo methods.
	operational gaming.
	none of these

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Question 25(2.5 points)

Simulations are normally done:

Question 25 options:

	on a computer
	with an Excel spreadsheet
	manually
	in a casino

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Question 26(2.5 points)

____________________ provides a laboratory for experimentation so that the ________________ is not disrupted.

Question 26 options:

	Simulation Modeling=============Cybernetic System
	Linear Programming=============Real System
	Simulation Modeling=============Real System
	Linear Programming=============Cybernetic System

The first step of the minimal spanning tree solution is to compute the distance of any path through the network.

Question 27 options:

	True
	False

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Question 28(2.5 points)

The values assigned to branches typically represent distance, time, or cost.

Question 28 options:

	True
	False

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Question 29(2.5 points)

The minimal spanning tree problem determines the

Question 29 options:

	least cost for the prescribed amount transported through the network
	minimum amount that should be transported along any one path
	minimum total branch lengths connecting all nodes in the network
	minimum distance between a source node and a destination node

Consider the network shown, which shows the location of various facilities within a youth camp and the distances (in tens of yards) between each facility. There is a swampy area between facilities A and E.

Walking trails will be constructed to connect all the facilities. In order to preserve the natural beauty of the camp (and to minimize the construction time and cost), the directors want to determine which paths should be constructed. Use this network to determine which paths should be built.

Information

Youth Camp

Question 30(2.5 points)

What are the model's nodes?

Question 30 options:

	facilities
	campsites
	trails
	rails

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Question 31(2.5 points)

In order to solve the above problem, which would be the best quantitative method to use?

Question 31 options:

	Minimal Spanning Tree Problem
	Shortest Route Problem-All Destinations Solution
	Shortest Route Problem-Single Solution
	Maximal Flow Problem

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Question 32(2.5 points)

Branch D to G is part of the model's solution.

Question 32 options:

	True
	False

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Question 33(2.5 points)

All of the following branches are part of the model solution except?

Question 33 options:

	A to E
	B to G
	A to C
	D to E

The network shown gives the major roads that would be part of the hurricane evacuation routes for Hilton Head, South Carolina with the indicated flow capacities along each branch. Determine the maximal flow from source node 1 to destination node 9.

Information

Hurricane Evacuation

Question 34(2.5 points)

This model requires of how many solutions?

Question 34 options:

	1
	9
	5
	8

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Question 35(2.5 points)

What are the model’s nodes?

Question 35 options:

	Roads
	Rails
	Cities
	Intersections

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Question 36(2.5 points)

What is the capacity of branch 3 to 6?

Question 36 options:

	4
	0
	3
	2

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Question 37(2.5 points)

What is the model's solution?

Question 37 options:

	13
	unsolvable
	10
	11
	12

A snack food company must assign jobbers to each of four regions to perform the task of restocking vending machines. The time involved varies according to individual jobber's home location and experience in working in the areas. The table below shows how many days it takes each jobber to supply snacks to each region.

	Region
Jobber	1	2	3	4
A	5	9	5	7
B	3	8	4	4
C	5	5	8	4
D	7	4	5	5

Question 38(2.5 points)

This model consists of how many "machines"?

Question 38 options:

	10
	4
	3
	11
	6
	14

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Question 39(2.5 points)

In terms of QM for Window's software terminology, what are the model’s "jobs"?

Question 39 options:

	Cities
	Regions
	Jobbers
	Networks
	Vending Machines
	Machines

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Question 40(2.5 points)

The solution to the problem is 16 days.

Question 40 options:

	True
	False