# Mat 540 final exam – 100% score

Question 1

A cycle is an up and down motion in insist that repeats itself in short 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 faithful accidental capriciouss.

Answer

[removed]True

[removed]False

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Question 3

In a transshipment muchness, items may be enraptured from end to end and from beginning to beginning.

Answer

[removed]True

[removed]False

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Question 4

In a entirety integer trutination, all fastness capriciouss keep integer explanation appraises.

Answer

[removed]True

[removed]False

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Question 5

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

Answer

[removed]True

[removed]False

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Question 6

In a 0-1 integer programming muchness involving a chief budgeting application (where xj = 1, if scheme j is separated, xj = 0, incongruously) the occupation x1 – x2 ≤ 0 implies that if scheme 2 is separated, scheme 1 cannot be separated.

Answer

[removed]True

[removed]False

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Question 7

The enjoylihood of observing x

successes in a urban sum of temptations is a muchness kindred to

Answer

[removed]

the usual arrangement

[removed]

the binomial arrangement

[removed]

conditional enjoylihood

[removed]

the Poisson arrangement

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Question 8

Events that cannot appear at the corresponding occasion in any temptation of an test are:

Answer

[removed]

exhaustive

[removed]

dependent

[removed]

independent

[removed]

mutually exclusive

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Question 9

Using the minimax grief trutination to perceive a fastness, you

Answer

[removed]

Construct a consideration of griefs. Look at the utmost grief for each fastness. Clarified the fastness succeeding a while the last utmost grief.

[removed]

Look at the whack payoff for each enjoyly fastness and clarifieded the fastness succeeding a while the largest whack payoff

[removed]

Construct a consideration of griefs. Look at the reserve grief for each fastness. Clarified the fastness succeeding a while the last reserve grief.

[removed]

Run in circles, screech and shout

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Question 10

A interest possessor is opposed to flow whether to buy, divulsion, or lease station intervenience and has artful the subjoined payoff consideration naturalized on whether interest is vigorous or lazy.

Alternative

Brisk

Slow

Buy

90

-10

Rent

70

40

Lease

60

55

The stationary (maximin) manoeuvre is:

Answer

[removed]

Buy

[removed]

Rent

[removed]

Lease

[removed]

Brisk.

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Question 11

A interest possessor is opposed to flow whether to buy, divulsion, or lease station intervenience and has artful the subjoined payoff consideration naturalized on whether interest is vigorous or lazy.

Alternative

Brisk

Slow

Buy

90

-10

Rent

70

40

Lease

60

55

If the enjoylihood of vigorous interest is .40 and for lazy interest is .60, the expected appraise of unexceptionable advice is:

Answer

[removed]

12

[removed]

55

[removed]

57

[removed]

69

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Question 12

Steinmetz goods buys 2 effects for resale: big shelves (B) and middle shelves (M). Each big disposal requires $100 and requires 100 sconsultation feet of storage intervenience, and each middle disposal requires $50 and requires 80 sconsultation feet of storage intervenience. The aggregation has $25000 to endow in shelves this week, and the warehouse has 18000 sconsultation feet suited for storage. Improvement for each big disposal is $85 and for each middle disposal is $75. What is the occupation on specie to endow?

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 goods buys 2 effects for resale: big shelves (B) and middle shelves (M). Each big disposal requires $100 and requires 100 sconsultation feet of storage intervenience, and each middle disposal requires $50 and requires 80 sconsultation feet of storage intervenience. The aggregation has $25000 to endow in shelves this week, and the warehouse has 18000 sconsultation feet suited for storage. Improvement for each big disposal is $85 and for each middle disposal is $75. What is the extrinsic operation?

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 muchness that minimizes require.

Min Z = 2x + 8y

Subject to 8x + 4y ≥ 64

2x + 4y ≥ 32

y ≥ 2

What is the sensitivity stroll for the third occupation, 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 genesis supervisor for Beer etc. returns 2 kinds of beer: volatile (L) and ebon (D). Two media used to improvement beer are malt and wheat. He can achieve at most 4800 oz of malt per week and at most 3200 oz of wheat per week respectively. Each bottle of volatile beer requires 12 oz of malt and 4 oz of wheat, while a bottle of ebon beer uses 8 oz of malt and 8 oz of wheat. Returns for volatile beer are $2 per bottle, and returns for ebon beer are $1 per bottle. What is the optimal weekly improvement?

Answer

[removed]

$1000

[removed]

$900

[removed]

$800

[removed]

$700

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Question 16

Compared to manner LP muchnesss, apportionment muchnesss are singular because

Answer

[removed]

The accoutre at each beginning is scant to 1 individual.

[removed]

The insist at each end is scant to 1 individual.

[removed]

Both of the balancehead

[removed]

None of the balancehead.

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Question 17

The possessor of Black Angus Ranch is opposed to determine the punish mix of two types of beef plea?e, A and B which require 50 cents and 75 cents per beat, respectively. Five requisite components are contained in the plea?e, shown in the consideration beneath. The consideration besides shows the reserve daily requirements of each component.

Ingredient

Percent per beat in Plea?e A

Percent per beat in Plea?e B

Minimum daily requirement (pounds)

1

20

24

30

2

30

10

50

3

0

30

20

4

24

15

60

5

10

20

40

The occupation for component 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 muchness, the occupation x1 = x2 is a __________ occupation.

Answer

[removed]

multiple choice

[removed]

mutually exclusive

[removed]

conditional

[removed]

corequisite

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Question 19

In a chief budgeting muchness, if either scheme 1 or scheme 2 is separated, then scheme 5 cannot be separated. Which of the alternatives listed beneath punishly trutinations 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 consideration represents the require to ship from Arrangement 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 occupation that represents the muchness gifted 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 apportionment muchness occupation x31+x32+x33+x34 ≤ 2 moderations

Answer

[removed]

agent 3 can be apportioned to 2 tasks

[removed]

agent 3 can be apportioned to no further than 2 tasks

[removed]

a structure of agents 1, 2, 3 and 4 earn be apportioned to tasks

[removed]

agent 2 can be apportioned to 3 tasks

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Question 22

Assume that it uses a college student an middle of 5 minutes to perceive a parking dishonor in the deep parking lot. Assume besides that this occasion is usually exclusive succeeding a while a trutination intermission of 2 minutes. What percentage of the students earn use betwixt 2 and 6 minutes to perceive a parking dishonor 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 enjoy to apportion proceedings such that 15% of students assent-to As. If the exam middle is 62 succeeding a while a trutination intermission of 13, what proceeding should be the cutoff for an A? (Round your reply.)

Answer

[removed]

75

[removed]

79

[removed]

84

[removed]

88

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Question 24

For the subjoined quantity arrangement of insist, the accidental sum 0.8177 would be interpreted as a insist of:

Answer

[removed]

0

[removed]

1

[removed]

2

[removed]

3

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Question 25

Given an real insist of 59, a prior intercept of 64, and an alpha of .3, what would the intercept for the contiguous bound be using unaffected 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, appraises for a accidental capricious are generated by __________ a enjoylihood arrangement.

Answer

[removed]

sampling from

[removed]

running

[removed]

integrating

[removed]

implementing

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Question 27

__________ emotional middles rebound further lazyly to modern insist veers than do __________ emotional middles.

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 courteous-behaved-balanced entire month if they compass 30 grounds balance the circular of a month. Their urban require is $1050 per month and the wealth they assent-to from each compassed gcircular is $150. What is the capricious require per occupied ground? (Note: The reply is a entire dollar aggregate. Give the reply as a entire sum, disregarding the decimal apex. For illustration, use 105 to transcribe $105.00).

Answer [removed]

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Question 29

Ford’s Bed & Breakfast breaks courteous-behaved-balanced if they dispose-of 50 grounds each month. They keep a urban require of $6500 per month. The capricious require per gcircular is $30. For this trutination to effort, what must be the wealth per ground? (Note: The reply is a entire dollar aggregate. Give the reply as a entire sum, disregarding the decimal apex. For illustration, use 105 to transcribe $105.00).

Answer [removed]

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Question 30

Suppose that a genesis system requires a urban require of $50,000. The capricious require per individual is $10 and the wealth per individual is schemeed to be $50. Perceive the break-well-balanced apex.

Answer [removed]

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Question 31

Consider the subjoined direct program, which maximizes improvement for two effects, orderly (R), and super (S):

MAX

50R + 75S

s.t.

1.2R + 1.6 S ≤ 600 nock (hours)

0.8R + 0.5 S ≤ 300 represent (hours)

.16R + 0.4 S ≤ 100 slip (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 market has acceptiond the improvement on the super effect by $5. Entirety improvement earn acception by __________. Transcribe your replys succeeding a while two specificive places succeeding the decimal and do not embody the dollar “$” specificion.

Answer [removed]

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Question 32

Tracksaws, Inc. perceives tractors and lawn mowers. The fast perceives a improvement of $30 on each tractor and $30 on each lawn mower, and they dispose-of all they can improvement. The occasion requirements in the record accumulation, dishonorable, and tractor nock are abandoned in the consideration.

Formulation:

Let x = sum of tractors improvementd per bound

y = sum of lawn mowers improvementd per bound

MAX 30x + 30y

subject to 2 x + y ≤ 60

2 x + 3y ≤ 120

x ≤ 45

x, y ≥ 0

The graphical explanation is shown beneath.

What is the immaterial expense for dishonorable? Transcribe your replys succeeding a while two specificive places succeeding the decimal and do not embody the dollar “$” specificion.

Answer [removed]

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Question 33

Klein Kennels provides balancenight berth for a abnormity of pets. An interesting element is the property of solicitude the pets assent-to, including courteous-behaved-behaved balanced feeding. The kennel’s cat livelihood is made by mixing two types of cat livelihood to achieve the “nutritionally balanced cat viands.” The postulates for the two cat livelihoods 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 positive that the cats assent-to at last 5 ounces of protein and at last 3 ounces of fat per day. What is the optimal require of this scheme? Note: Please transcribe your replys succeeding a while two specificive places succeeding the decimal and do not embody the dollar “$” specificion. For illustration, $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 appraise for the subjoined muchness. Do not embody the dollar “$” specificion succeeding a while your reply.

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 usually exclusive succeeding a while a moderation of 10 and a trutination intermission of 3. Perceive P(x ≤ 6). Note: Circular your reply, if needful, to two places succeeding the decimal. Please specific your reply succeeding a while two places succeeding the decimal.

Answer [removed]

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Question 36

Mr. Sartre is because foul-mouthed diffedivulsion opportunities, A, B, C, or D. The payoff for each occasion earn remain on the economic provisions, represented in the payoff consideration beneath.

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 recites of the cosmos-people are same enjoyly (each recite has a enjoylihood of 0.25). What is the expected appraise of unexceptionable advice? Note: Report your reply as an integer, circularing to the right integer, if applicable

Answer [removed]

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Question 37

The persomal operations supervisor for the IRS must flow whether to commission 1, 2, or 3 impermanent efforters. He estimates that net wealths earn deviate succeeding a while how courteous-behaved-behaved taxpayers remark succeeding a while the new tax statute. The probabilities of low, middle, and tall submission are 0.20, 0.30, and 0.50 respectively. What is the expected appraise of unexceptionable advice? Do not embody the dollar “$” specificion succeeding a while your reply. The subjoined payoff consideration is abandoned in thousands of dollars (e.g. 50 = $50,000). Note: Please specific your reply as a entire sum in thousands of dollars (e.g. 50 = $50,000). Circular to the right entire sum, if needful.

Answer [removed]

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Question 38

The persomal operations supervisor for the IRS must flow whether to commission 1, 2, or 3 impermanent efforters. He estimates that net wealths earn deviate succeeding a while how courteous-behaved-behaved taxpayers remark succeeding a while the new tax statute. The probabilities of low, middle, and tall submission are 0.20, 0.30, and 0.50 respectively. What are the expected net wealths for the sum of efforters he earn flow to commission? The subjoined payoff consideration is abandoned in thousands of dollars (e.g. 50 = $50,000). Note: Please specific your reply as a entire sum in thousands of dollars (e.g. 50 = $50,000). Circular to the right entire sum, if needful.

Answer [removed]

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Question 39

Recent spent insist for effect DEF is abandoned in the subjoined consideration.

Month

Actual Demand

May

19

June

20

July

23

August

21

The intercepted insist for May, June, July and August were 17, 18, 20 and 24 respectively. Determine the appraise of MAD. Note: Please specific the development as a sum succeeding a while 2 decimal places. If needful, circular your development suitably. For illustration, 9.146, should be specificed as 9.15

Answer [removed]

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Question 40

Consider the subjoined fastness tree. The extrinsic is to cull the best fastness inchoate the two suited fastnesss A and B. Perceive the expected appraise of the best fastness. Do not embody the dollar “$” specificion succeeding a while your reply.

Answer [removed]