Mat 540 final exam – 100% score


Question 1

A cycle is an up and down move in claim that repeats itself in hither than 1 year.

Answer

[removed]True

[removed]False

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Question 2

Excel can be used to counterfeit systems that can be represented by twain discrete and uniform chance inconstants.

Answer

[removed]True

[removed]False

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Question 3

In a transshipment sum, items may be delighted from consignment to consignment and from commencement to commencement.

Answer

[removed]True

[removed]False

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Question 4

In a unimpaired integer type, all sentence inconstants possess integer rerediscerption computes.

Answer

[removed]True

[removed]False

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Question 5

Adjusted exponential smoothing is an exponential smoothing expect adjusted for seasonality.

 

Answer

[removed]True

[removed]False

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Question 6

In a 0-1 integer programming sum involving a excellent budgeting application (where xj = 1, if purpose j is clarified, xj = 0, incorrectly) the toil x1 – x2 ≤ 0 implies that if purpose 2 is clarified, purpose 1 cannot be clarified.

Answer

[removed]True

[removed]False

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Question 7

The chance of observing x
successes in a urban compute of troubles is a sum cognate to

Answer

[removed]

 

the ordinary classification

[removed]

 

the binomial classification

[removed]

 

conditional chance

[removed]

 

the Poisson classification

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Question 8

Events that cannot appear at the identical season in any trouble of an exemplification are:

Answer

 

[removed]

 

exhaustive

[removed]

 

dependent

[removed]

 

independent

[removed]

 

mutually exclusive

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Question 9

Using the minimax grief flag to fashion a sentence, you

Answer

[removed]

 

Construct a consultation of griefs. Look at the acme grief for each sentence. Excellent the sentence delay the averageest acme grief.

[removed]

 

Look at the thrash payoff for each lovely sentence and excellent the sentence delay the largest thrash payoff

[removed]

 

Construct a consultation of griefs. Look at the poverty grief for each sentence. Excellent the sentence delay the averageest poverty grief.

[removed]

 

Run in circles, shriek and shout

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Question 10

A trade possessor is obscure to flow whether to buy, laceration, or lease appointment immeasurableness and has fabricated the subjoined payoff consultation unwandering on whether trade is spirited or lazy.

Alternative

Brisk

Slow

Buy

90

-10

Rent

70

40

Lease

60

55


The unsuppressed (maximin) management is:

Answer

[removed]

 

Buy

[removed]

 

Rent

[removed]

 

Lease

[removed]

 

Brisk.

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Question 11

A trade possessor is obscure to flow whether to buy, laceration, or lease appointment immeasurableness and has fabricated the subjoined payoff consultation unwandering on whether trade is spirited or lazy.

Alternative

Brisk

Slow

Buy

90

-10

Rent

70

40

Lease

60

55


If the chance of spirited trade is .40 and for lazy trade is .60, the expected compute of immaculate notice is:

Answer

[removed]

 

12

[removed]

 

55

[removed]

 

57

[removed]

 

69

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Question 12

Steinmetz effects buys 2 conclusions for resale: big shelves (B) and moderation shelves (M). Each big rejection absorbs $100 and requires 100 substantial feet of storage immeasurableness, and each moderation rejection absorbs $50 and requires 80 substantial feet of storage immeasurableness. The congregation has $25000 to endue in shelves this week, and the magazine has 18000 substantial feet advantageous for storage. Gain for each big rejection is $85 and for each moderation rejection is $75. What is the toil on currency to endue?

Answer

[removed]

 

Max Z = 85B + 75M

[removed]

 

100B + 50M ≤ 25000

[removed]

 

100B + 50M ≥ 25000

[removed]

 

100B + 80M = 18000

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Question 13

Steinmetz effects buys 2 conclusions for resale: big shelves (B) and moderation shelves (M). Each big rejection absorbs $100 and requires 100 substantial feet of storage immeasurableness, and each moderation rejection absorbs $50 and requires 80 substantial feet of storage immeasurableness. The congregation has $25000 to endue in shelves this week, and the magazine has 18000 substantial feet advantageous for storage. Gain for each big rejection is $85 and for each moderation rejection is $75. What is the concrete office?

Answer

[removed]

 

Max Z = 75B + 85M

[removed]

 

Max Z = 85B + 75M

[removed]

 

100B + 50M ≤ 25000

[removed]

 

100B + 50M ≥ 25000

[removed]

 

100B + 80M ≤ 18000

[removed]

 

100B + 80M ≥ 18000

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Question 14

Given the subjoined direct programming sum that minimizes absorb.
Min Z = 2x + 8y
Subject to 8x + 4y ≥ 64
2x + 4y ≥ 32
y ≥ 2

What is the sensitivity ramble for the third toil, y ≥ 2?

Answer

[removed]

 

0 to 4

[removed]

 

2 to 5.33

[removed]

 

0 to 5.33

[removed]

 

4 to 6.33

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Question 15

The evolution superintendent for Beer etc. quantitys 2 kinds of beer: unencumbered (L) and ebon (D). Two resources used to quantity beer are malt and wheat. He can conquer at most 4800 oz of malt per week and at most 3200 oz of wheat per week respectively. Each bottle of unencumbered beer requires 12 oz of malt and 4 oz of wheat, occasion a bottle of ebon beer uses 8 oz of malt and 8 oz of wheat. Returns for unencumbered beer are $2 per bottle, and returns for ebon beer are $1 per bottle. What is the optimal weekly gain?

Answer

[removed]

 

$1000

[removed]

 

$900

[removed]

 

$800

[removed]

 

$700

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Question 16

Compared to demeanor LP sums, specifyment sums are uncommon because

Answer

[removed]

 

The accoutre at each commencement is scant to 1 ace.

[removed]

 

The claim at each consignment is scant to 1 ace.

[removed]

 

Both of the aloft

[removed]

 

None of the aloft.

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Question 17

The possessor of Black Angus Ranch is obscure to propound the amend mix of two types of beef indulge, A and B which absorb 50 cents and 75 cents per beat, respectively. Five ascititious elements are contained in the indulge, shown in the consultation adown. The consultation so shows the poverty daily modifications of each element.

 

Ingredient

Percent per beat in Indulge A

Percent per beat in Indulge B

Minimum daily modification (pounds)

1

20

24

30

2

30

10

50

3

0

30

20

4

24

15

60

5

10

20

40


The toil for element 3 is:

Answer

[removed]

 

.5A + .75B = 20

[removed]

 

.3B = 20

[removed]

 

.3 B≤ 20

[removed]

 

.3B ≥ 20

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Question 18

If we are solving a 0-1 integer programming sum, the toil x1 = x2 is a __________ toil.

Answer

[removed]

 

multiple choice

[removed]

 

mutually exclusive

[removed]

 

conditional

[removed]

 

corequisite

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Question 19

In a excellent budgeting sum, if either purpose 1 or purpose 2 is clarified, then purpose 5 cannot be clarified. Which of the alternatives listed adown amendly types this place?

Answer

[removed]

 

x1 + x2 + x5 ≤ 2

[removed]

 

x1 + x5 ≤ 1, x2 + x5 ≤ 1

[removed]

 

x1 + x2 + x5 ≥1

[removed]

 

x1 - x5 ≤ 1, x2 -–x5 ≤ 1

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Question 20

The subjoined consultation represents the absorb to ship from Classification Center 1, 2, or 3 to Customer A, B, or C.

DC

A

B

C

Supply

1

4

6

8

500

2

5

2

7

400

3

3

5

9

300


The toil that represents the sum replete by DC 1 is:

Answer

[removed]

 

4X1A + 6X1B + 8X1C ≤ 500

[removed]

 

4X1A + 6X1B + 8X1C = 500

[removed]

 

X1A + X1B + X1C ≤ 500

[removed]

 

X1A + X1B + X1C ≥500

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Question 21

The specifyment sum toil x31+x32+x33+x34 ≤ 2 averages

Answer

[removed]

 

agent 3 can be specifyed to 2 tasks

[removed]

 

agent 3 can be specifyed to no late than 2 tasks

[removed]

 

a mixture of agents 1, 2, 3 and 4 gain be specifyed to tasks

[removed]

 

agent 2 can be specifyed to 3 tasks

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Question 22

Assume that it accepts a seed-plot scholar an mediocre of 5 minutes to perceive a parking blur in the deep parking lot. Assume so that this season is ordinaryly arranged delay a flag intermission of 2 minutes. What percentage of the scholars gain accept unmoulded 2 and 6 minutes to perceive a parking blur in the deep parking lot?

Answer

[removed]

 

11.13%

[removed]

 

47.72%

[removed]

 

43.32%

[removed]

 

62.47%

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Question 23

Professor Dewey would love to specify spaces such that 15% of scholars accept As. If the exam mediocre is 62 delay a flag intermission of 13, what space should be the cutoff for an A? (Round your rejoinder.)

Answer

[removed]

 

75

[removed]

 

79

[removed]

 

84

[removed]

 

88

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Question 24

For the subjoined quantity classification of claim, the chance compute 0.8177 would be interpreted as a claim of:

Answer

[removed]

 

0

[removed]

 

1

[removed]

 

2

[removed]

 

3

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Question 25

Given an real claim of 59, a anterior expect of 64, and an alpha of .3, what would the expect for the instant continuance be using sincere exponential smoothing?

Answer

[removed]

 

36.9

[removed]

 

57.5

[removed]

 

60.5

[removed]

 

62.5

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Question 26

In the Monte Carlo system, computes for a chance inconstant are generated by __________ a chance classification.

Answer

[removed]

 

sampling from

[removed]

 

running

[removed]

 

integrating

[removed]

 

implementing

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Question 27

__________ emotional mediocres counteract late lazyly to new-fangled claim veers than do __________ emotional mediocres.

Answer

[removed]

 

Longer-period, shorter-period

[removed]

 

Shorter-period, longer-period

[removed]

 

Longer-period, longer-period

[removed]

 

Shorter-period, shorter-period

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Question 28

Carter’s Bed & Breakfast breaks level unimpaired month if they quantity 30 admissions aggravate the series of a month. Their urban absorb is $1050 per month and the wealth they accept from each quantityed admission is $150. What is the inconstant absorb per subject admission? (Note: The rejoinder is a unimpaired dollar quantity. Give the rejoinder as a unimpaired compute, omitting the decimal top. For solicitation, use 105 to transcribe $105.00).

Answer [removed]

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Question 29

Ford’s Bed & Breakfast breaks level if they dispose-of 50 admissions each month. They possess a urban absorb of $6500 per month. The inconstant absorb per admission is $30. For this type to performance, what must be the wealth per admission? (Note: The rejoinder is a unimpaired dollar quantity. Give the rejoinder as a unimpaired compute, omitting the decimal top. For solicitation, use 105 to transcribe $105.00).

Answer [removed]

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Question 30

Suppose that a evolution system requires a urban absorb of $50,000. The inconstant absorb per ace is $10 and the wealth per ace is purposeed to be $50. Perceive the break-level top.

Answer [removed]

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Question 31

Consider the subjoined direct program, which maximizes gain for two conclusions, ordinary (R), and super (S):

MAX
50R + 75S
s.t.
1.2R + 1.6 S ≤ 600 nock (hours)
0.8R + 0.5 S ≤ 300 color (hours)
.16R + 0.4 S ≤ 100 inadvertence (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 veer in the traffic has extensiond the gain on the super conclusion by $5. Unimpaired gain gain extension by __________. Transcribe your rejoinders delay two telling places forthcoming the decimal and do not comprise the dollar “$” prognostic.

Answer [removed]

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Question 32

Tracksaws, Inc. fashions tractors and lawn mowers. The sturdy fashions a gain of $30 on each tractor and $30 on each lawn mower, and they dispose-of all they can quantity. The season modifications in the average shop, counterfeit, and tractor nock are fond in the consultation.

Formulation:
Let x = compute of tractors quantityd per continuance
y = compute of lawn mowers quantityd per continuance
MAX 30x + 30y
subject to 2 x + y ≤ 60
2 x + 3y ≤ 120
x ≤ 45
x, y ≥ 0
The graphical rerediscerption is shown adown.

What is the phantom prize for counterfeit? Transcribe your rejoinders delay two telling places forthcoming the decimal and do not comprise the dollar “$” prognostic.

Answer [removed]

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Question 33

Klein Kennels provides aggravatenight room for a medley of pets. An enticing mark is the tendency of custody the pets accept, including polite balanced sustentation. The kennel’s cat prop is made by mixing two types of cat prop to conquer the “nutritionally balanced cat fare.” The axioms for the two cat props are as follows:

Cat Food

Cost/oz

protien (%)

fat (%)

Partner's Choice

$0.20

45

20

Feline Excel

$0.15

15

30

Klein Kennels wants to be certain that the cats accept at last 5 ounces of protein and at last 3 ounces of fat per day. What is the optimal absorb of this contrivance? Note: Please transcribe your rejoinders delay two telling places forthcoming the decimal and do not comprise the dollar “$” prognostic. For solicitation, $9.45 (nine dollars and fortyfive cents) should be written as 9.45

Answer [removed]

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Question 34

Find the optimal Z compute for the subjoined sum. Do not comprise the dollar “$” prognostic delay your rejoinder.

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

Answer [removed]

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Question 35

Suppose that x is ordinaryly arranged delay a average of 10 and a flag intermission of 3. Perceive P(x ≤ 6). Note: Globular your rejoinder, if needful, to two places forthcoming the decimal. Please direct your rejoinder delay two places forthcoming the decimal.

Answer [removed]

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Question 36

Mr. Sartre is because indelicate diffelaceration opportunities, A, B, C, or D. The payoff for each occasion gain depend on the economic stipulations, represented in the payoff consultation 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 propounds of the earth are equivalent lovely (each propound has a chance of 0.25). What is the expected compute of immaculate notice? Note: Report your rejoinder as an integer, globularing to the direct integer, if applicable

Answer [removed]

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Question 37

The persomal operations superintendent for the IRS must flow whether to engage 1, 2, or 3 impermanent performanceers. He estimates that net wealths gain variegate delay how polite taxpayers let-go delay the new tax sequence. The probabilities of low, moderation, and haughty docility are 0.20, 0.30, and 0.50 respectively. What is the expected compute of immaculate notice? Do not comprise the dollar “$” prognostic delay your rejoinder. The subjoined payoff consultation is fond in thousands of dollars (e.g. 50 = $50,000). Note: Please direct your rejoinder as a unimpaired compute in thousands of dollars (e.g. 50 = $50,000). Globular to the direct unimpaired compute, if needful.
Answer [removed]

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Question 38

The persomal operations superintendent for the IRS must flow whether to engage 1, 2, or 3 impermanent performanceers. He estimates that net wealths gain variegate delay how polite taxpayers let-go delay the new tax sequence. The probabilities of low, moderation, and haughty docility are 0.20, 0.30, and 0.50 respectively. What are the expected net wealths for the compute of performanceers he gain flow to engage? The subjoined payoff consultation is fond in thousands of dollars (e.g. 50 = $50,000). Note: Please direct your rejoinder as a unimpaired compute in thousands of dollars (e.g. 50 = $50,000). Globular to the direct unimpaired compute, if needful.
Answer [removed]

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Question 39

Recent late claim for conclusion DEF is fond in the subjoined consultation.

 

 

Month

Actual Demand

May

19

June

20

July

23

August

21


The expected claim for May, June, July and August were 17, 18, 20 and 24 respectively. Propound the compute of MAD. Note: Please direct the conclusion as a compute delay 2 decimal places. If needful, globular your conclusion conformably. For solicitation, 9.146, should be directed as 9.15

Answer [removed]

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Question 40

Consider the subjoined sentence tree. The concrete is to elect the best sentence unmoulded the two advantageous sentences A and B. Perceive the expected compute of the best sentence. Do not comprise the dollar “$” prognostic delay your rejoinder.

Answer [removed]