Mat 540 final exam – 100% correct answers

Question 1

In an unbalanced gait mould, give does not correspondent ask-for and one set of absorptions uses ≤ tokens.

Answer Penny False

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Question 2

Validation of a simulation mould use-places when the penny uniform declare average effects entertain been reached.

Answer Penny False

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Question 3

Excel can be used to assume systems that can be delineateed by twain discrete and consecutive wild capriciouss.

Answer Penny False

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Question 4

In a full integer mould, all unshakenness capriciouss entertain integer rerebreach appraises.

Answer Penny False

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Question 5

Fractional relationships unarranged capriciouss are not open in the plummet contrive of a straight program.

Answer Penny False

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Question 6

If we are solving a 0-1 integer programming complete, the absorption x1 = x2 is a unlawful absorption.

Answer Penny False

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Question 7

In a burst-equal mould, if all of the requires are held uniform, how does an acception in appraisement seek the mould? Answer

Breakequal top decreases

Breakequal top acceptions

Breakequal top does not transmute

The proceeds per individual goes down

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Question 8

An equation or imparity that pointedes a material incapability in a commonplace mould is denominated _____________________. Answer

a unshakenness capricious.

a parameter.

an concrete character.

a absorption.

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Question 9

A affair proprietor is reserved to enumerate whether to buy, breach, or lease station intervenience and has pretended the subjoined payoff consideration grounded on whether affair is eager or dilatory.

The unsuppressed (maximin) strategy is: Answer

Buy

Rent

Lease

Brisk.

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Question 10

Events that cannot use-place at the correspondent duration in any trouble of an exemplification are: Answer

exhaustive

dependent

independent

mutually exclusive

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Question 11

In straight programming completes, multiple optimal resolutions use-place Answer

when absorption lines are concurrent to each other.

when the concrete character is concurrent to a absorption line

every potential rerebreach top violates at averageest one absorption

when the dual appraisement for a topic-matter material is very small

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Question 12

Steinmetz furniture buys 2 issues for resale: big shelves (B) and moderation shelves (M). Each big rejection requires $100 and requires 100 substantial feet of storage intervenience, and each moderation rejection requires $50 and requires 80 substantial feet of storage intervenience. The corporation has $25000 to endue in shelves this week, and the treasury has 18000 substantial feet suited for storage. Improvement for each big rejection is $85 and for each moderation rejection is $75. In adjust to maximize improvement, how numerous big shelves (B) and how numerous moderation shelves (M) should be purchased? Answer

B = 225, M = 0

B = 0, M = 225

B = 150, M = 75

B = 75, M = 150 5 tops

 

Question 13

Steinmetz furniture buys 2 issues for resale: big shelves (B) and moderation shelves (M). Each big rejection requires $100 and requires 100 substantial feet of storage intervenience, and each moderation rejection requires $50 and requires 80 substantial feet of storage intervenience. The corporation has $25000 to endue in shelves this week, and the treasury has 18000 substantial feet suited for storage. Improvement for each big rejection is $85 and for each moderation rejection is $75. What is the storage intervenience absorption? Answer

Max Z = 75B + 85M

100B + 50M ≥ 25000

100B + 80M ≤ 18000

100B + 80M = 18000 5 tops

 

Question 14

Given the subjoined straight programming complete that minimizes require.

Min Z = 2x + 8y

Subject to 8x + 4y ≥ 64

2x + 4y ≥ 32

y ≥ 2

What is the sensitivity rove for the third absorption, y ≥ 2? Answer

0 to 4

2 to 5.33

0 to 5.33

4 to 6.33

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Question 15

The subjoined is an Excel “Answer” and “Sensitivity” reports of a straight programming complete:

The Defense Report:

The Sensitivity Report:

Which subjoined materials would you approve to be acceptiond? Answer

mix/mold

kiln

sketch and seal

Cannot betray from the notification provided

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Question 16

In a portfolio complete, X1, X2, and X3 delineate the calculate of shares purchased of accumulations 1, 2, an 3 which entertain retailing appraisements of $15, $47.25, and $110, respectively. The endueor has up to $50,000 to endue. An embezzle deal-out of the mould would be Answer

15X1 + 47.25X2 +110 X3 ≤ 50,000

MAX Z =15X1 + 47.25X2 + 110X3

X1 + X2 +X3 ≤ 50,000

MAX Z = 50(15)X1 + 50 (47.25)X2 + 50 (110)X3

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Question 17

In a portfolio complete, X1, X2, and X3 delineate the calculate of shares purchased of accumulations 1, 2, an 3 which entertain retailing appraisements of $15, $47.25, and $110, respectively. The endueor has up to $50,000 to endue. The endueor stipulates that accumulation 1 must not recital for past than 35% of the calculate of shares purchased. Which absorption is amend? Answer

X1 ≤ 0.35

X1 = 0.35 (50000)

X1 ≤ 0.35(X1 + X2 + X3)

X1 = 0.35(X1 + X2 + X3)

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Question 18

If we are solving a 0-1 integer programming complete, the absorption x1 = x2 is a __________ absorption. Answer

multiple choice

mutually exclusive

conditional

corequisite

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Question 19

The Kirschner Corporation has a compress to yield field hoses for a customer. Kirschner has 5 diffebreach moderations that can yield this husk of hose. Transcribe the absorption that indicates they entertain to use at averageest three of the five moderations in their evolution. Answer

Y1 + Y2 + Y3 + Y4 + Y5 ≤ 3

Y1 + Y2 + Y3 + Y4 + Y5 = 3

Y1 + Y2 + Y3 + Y4 + Y5 ≥ 3

none of the above

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Question 20

The enactment complete absorption x31+x32+x33+x34 ≤ 2 media Answer

agent 3 can be assigned to 2 businesss

agent 3 can be assigned to no past than 2 businesss

a compound of agents 1, 2, 3 and 4 get be assigned to businesss

agent 2 can be assigned to 3 businesss

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Question 21

A bigot needs succor from 3 tyro succorers to accomplished 4 businesss. The chief business is grading; the remedy is scanning; the third is unoriginal, and the immodestth is organizing tyro portfolios. The estimated duration for each tyro to do each business is dedicated in the matrix adown.

Which of the subjoined absorptions delineates the enactment for tyro A? Answer

XA1 +XA2 + XA3 + XA4 = 0

XA1 +XA2 + XA3 + XA4 = 1

XA1 +XA2 + XA3 + XA4 ≥ 1

XA1 +XA2 + XA3 + XA4 ≥ 0 5 tops

 

Question 22

Jack is regarding pursuing an MS in Notification Systems measure. He has applied to two diffebreach universities. The reply objurgate for applicants forthcoming a while correspondent qualifications is 30% for University X and 60% for University Y. The unshakennesss of each university entertain no effect on each other. This media that they are: Answer

mutually exclusive

independent

controlled by the mediate condition theorem

all of the above

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Question 23

Assume that it uses a seed-plot tyro an average of 5 minutes to experience a parking defect in the ocean parking lot. Assume too that this duration is normally orderly forthcoming a while a plummet inconsequence of 2 minutes. What percentage of the tyros get use unarranged 2 and 6 minutes to experience a parking defect in the ocean parking lot? Answer

11.13%

47.72%

43.32%

62.47%

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Question 24

In the Monte Carlo symmetricality, appraises for a wild capricious are generated by __________ a presumption arrangement. Answer

sampling from

running

integrating

implementing

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Question 25

A bakery is regarding hiring another clerk to improve attend customers. To succor forthcoming a while this unshakenness, registers were kept to enumerate how numerous customers arrived in 10-minute intervals. Grounded on 100 ten-minute intervals, the subjoined presumption arrangement and wild calculate enactments familiar.

Number of Arrivals

Probability

Random calculates

6

.1

.01 - .10

7

.3

.11 - .40

8

.3

.41 - .70

9

.2

.71 - .90

10

.1

.91 - .00

Suppose the direct three wild calculates were .18, .89 and .67. How numerous customers would entertain arrived during this 30-minute era? Answer

23

24

22

25

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Question 26

Given an developed ask-for of 59, a former prepare of 64, and an alpha of .3, what would the prepare for the direct era be using sincere exponential smoothing? Answer

36.9

57.5

60.5

62.5

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Question 27

For the subjoined reckon arrangement of ask-for, the wild calculate 0.8177 would be interpreted as a ask-for of:

Answer

0

1

2

3

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Question 28

Suppose that a evolution symmetricality requires a unroving require of $50,000. The capricious require per individual is $10 and the proceeds per individual is incomplete to be $50. Experience the burst-equal top.

Answer

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Question 29

Ford’s Bed & Breakfast bursts equal if they retail 50 topicalitys each month. They entertain a unroving require of $6500 per month. The capricious require per topicality is $30. For this mould to employment, what must be the proceeds per topicality? (Note: The defense is a full dollar complete. Give the defense as a full calculate, disregarding the decimal top. For solicitation, use 105 to transcribe $105.00).

Answer

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Question 30

Nixon’s Bed and Breakfast has a unroving require of $5000 per month and the proceeds they entertain from each booked topicality is $200. The capricious require per topicality is $75. How numerous topicalitys do they entertain to retail each month to burst equal? (Note: The defense is a full calculate. Give the defense as a full calculate, disregarding the decimal top. For solicitation, use 12 for twelve topicalitys).

Answer

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Question 31

Tracksaws, Inc. makes tractors and lawn mowers. The unshaken makes a improvement of $30 on each tractor and $30 on each lawn mower, and they retail all they can yield. The duration requirements in the moderation treasury, unfaithful, and tractor constellation are dedicated in the consideration.

Formulation: Let x = calculate of tractors yieldd per era y = calculate of lawn mowers yieldd per era MAX 30x + 30y topic to 2 x + y ≤ 60 2 x + 3y ≤ 120 x ≤ 45 x, y ≥ 0 The graphical rerebreach is shown adown.

What is the image appraisement for constellation? Transcribe your defenses forthcoming a while two indicative places forthcoming the decimal and do not embrace the dollar “$” token.

Answer

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Question 32

Consider the subjoined straight program, which maximizes improvement for two issues, symmetrical (R), and super (S):

MAX 50R + 75S s.t. 1.2R + 1.6 S ≤ 600 constellation (hours) 0.8R + 0.5 S ≤ 300 sketch (hours) .16R + 0.4 S ≤ 100 error (hours)

Sensitivity Report:

Final

Reduced

Objective

Allowable

Allowable

Cell

Name

Value

Cost

Coefficient

Increase

Decrease

$B$7

Regular =

291.67

0.00

50

70

20

$C$7

Super =

133.33

0.00

75

50

43.75

Final

Shadow

Constraint

Allowable

Allowable

Cell

Name

Value

Price

R.H. Side

Increase

Decrease

$E$3

Assembly (hr/unit)

563.33

0.00

600

1E+30

36.67

$E$4

Paint (hr/unit)

300.00

33.33

300

39.29

175

$E$5

Inspect (hr/unit)

100.00

145.83

100

12.94

40

A transmute in the communicate has acceptiond the improvement on the super issue by $5. Full improvement get acception by __________. Transcribe your defenses forthcoming a while two indicative places forthcoming the decimal and do not embrace the dollar “$” token.

Answer

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Question 33

Kitty Kennels provides overnight lodging for a abnormity of pets. An enticing indication is the attribute of heed the pets entertain, including courteous balanced feeding. The kennel’s cat subsistence is made by mixing two types of cat subsistence to conciliate the “nutritionally balanced cat nourishment.” The facts for the two cat subsistences are as follows:

Cat Food

Cost/oz

protien (%)

fat (%)

Meow Munch

$0.20

30

10

Feline Feed

$0.15

15

30

Kitty Kennels wants to be confident that the cats entertain at averageest 5 ounces of protein and at averageest 3 ounces of fat per day. What is the optimal require of this cunning? Note: Please transcribe your defenses forthcoming a while two indicative places forthcoming the decimal and do not embrace the dollar “$” token. For solicitation, $9.45 (nine dollars and fortyfive cents) should be written as 9.45

Answer

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Question 34

Find the optimal Z appraise for the subjoined complete. Do not embrace the dollar “$” token forthcoming a while your defense.

Max Z = x1 + 6x2 Topic to: 17x1 + 8x2 ≤ 136 3x1 + 4x2 ≤ 36 x1, x2 ≥ 0 and integer

Answer

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Question 35

Let us use as a dedicated that x is normally orderly forthcoming a while a average of 8.5 and a plummet inconsequence of 2, what is P(x ≤ 6)? Note: Plump your defense, if certain, to two places forthcoming the decimal. Please pointed your defense forthcoming a while two places forthcoming the decimal.

Answer

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Question 36

Mr. Sartre is regarding immodest diffebreach opportunities, A, B, C, or D. The payoff for each convenience get endure on the economic stipulations, delineateed in the payoff consideration adown.

Investment

Economic Conditions

Poor

(S1)

Average

(S2)

Good

(S3)

Excellent

(S4)

A

38

25

33

10

B

10

15

20

85

C

20

100

20

-25

D

25

25

100

25

Suppose all declares of the globe are correspondently slight (each declare has a presumption of 0.25). What is the expected appraise of full notification? Note: Report your defense as an integer, plumping to the unswerving integer, if applicable

Answer

5 tops

 

Question 37

The topical operations superintendent for the IRS must enumerate whether to employ 1, 2, or 3 partial employmenters. He estimates that net proceedss get differ forthcoming a while how courteous taxpayers accede forthcoming a while the new tax order. The probabilities of low, moderation, and tall yielding are 0.20, 0.30, and 0.50 respectively. What is the expected appraise of full notification? Do not embrace the dollar “$” token forthcoming a while your defense. The subjoined payoff consideration is dedicated in thousands of dollars (e.g. 50 = $50,000). Note: Please pointed your defense as a full calculate in thousands of dollars (e.g. 50 = $50,000). Plump to the unswerving full calculate, if certain.

Answer

5 tops

 

Question 38

The topical operations superintendent for the IRS must enumerate whether to employ 1, 2, or 3 partial employmenters. He estimates that net proceedss get differ forthcoming a while how courteous taxpayers accede forthcoming a while the new tax order. The probabilities of low, moderation, and tall yielding are 0.20, 0.30, and 0.50 respectively. What are the expected net proceedss for the calculate of employmenters he get enumerate to employ? The subjoined payoff consideration is dedicated in thousands of dollars (e.g. 50 = $50,000). Note: Please pointed your defense as a full calculate in thousands of dollars (e.g. 50 = $50,000). Plump to the unswerving full calculate, if certain.

Answer

5 tops

 

Question 39

The subjoined sales facts are suited for 2003-2008 :

Year

Sales

Forecast

2003

7

7

2004

8

8.5

2005

12

10.5

2006

14

13

2007

16

15

2008

18

16

Calculate the MAPD and pointed it in decimal notation. Please pointed the effect as a calculate forthcoming a while 4 decimal places. If certain, plump your effect consistently. For solicitation, 9.14677, should be pointeded as 9.1468

Answer

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Question 40

Consider the subjoined unshakenness tree. The concrete is to cull the best unshakenness unarranged the two suited unshakennesss A and B. Experience the expected appraise of the best unshakenness. Do not embrace the dollar “$” token forthcoming a while your defense.

Answer

 

 

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