# Mat 540/mat 540 week 7 quiz 3 (all correct)

Question 1

In a straight programming gist, all design parameters are inconsequent to be public delay demonstrableness.

Answer

True

False

Question 2

Graphical keys to straight programming gists possess an unbounded enumerate of practicable external administration sequences.

Answer

True

False

Question 3

In minimization LP gists the possible district is establishedly adown the products distractions.

Answer

True

False

Question 4

Surplus variables are solely associated delay minimization gists.

Answer

True

False

Question 5

If the external administration is analogous to a distraction, the distraction is infeasible.

Answer

True

False

Question 6

A straight programming design consists of solely determination variables and distractions.

Answer

True

False

Question 7

A possible key violates at lowest one of the distractions.

Answer

True

False

Question 8

The subjoined is a graph of a straight programming gist. The possible key quantity is retired, and the optimal key is at the summit labeledZ*.

(graph did not copy/paste)

Which of the subjoined distractions has a overplus greater than 0?

Answer

BF

CG

DH

AJ

Question 9

Cully furniture buys 2 products for resale: big shelves (B) and moderation shelves (M). Each big rejection costs $500 and requires 100 dense feet of storage quantity, and each moderation rejection costs $300 and requires 90 dense feet of storage quantity. The society has $75000 to endue in shelves this week, and the depot has 18000 dense feet beneficial for storage. Benefit-service for each big rejection is $300 and for each moderation rejection is $150. What is the climax benefit-service?

Answer

$25000

$35000

$45000

$55000

$65000

Question 10

The subjoined is a graph of a straight programming gist. The possible key quantity is retired, and the optimal key is at the summit labeledZ*.

graph did not copy/paste

The equation for distraction DH is:

Answer

4X + 8Y ≥ 32

8X + 4Y ≥ 32

X + 2Y ≥ 8

2X + Y ≥ 8

Question 11

The product director for the Coory luxurious quaff society is regarding the product of 2 kinds of luxurious quaffs: established and food. Two of her poor productss are product duration (8 hours = 480 minutes per day) and syrup (1 of her ingredients) poor to 675 gallons per day. To profit a established plight requires 2 minutes and 5 gallons of syrup, conjuncture a food plight needs 4 minutes and 3 gallons of syrup. Receipts for established luxurious quaff are $3.00 per plight and benefit-services for food luxurious quaff are $2.00 per plight. For the product coalition of 135 plights of established and 0 plights of food luxurious quaff, which productss succeed not be totally used?

Answer

solely duration

solely syrup

duration and syrup

neither duration nor syrup

Question 12

In a straight programming gist, the restrictive distractions for the optimal key are:

5x1 + 3x2 ≤ 30

2x1 + 5x2 ≤ 20

Which of these external administrations succeed direct to the selfselfsame optimal key?

Answer

2x1 + 1x2

7x1 + 8x2

80x1 + 60x2

25x1 + 15x2

Question 13

In a straight programming gist, a operative external administration can be represented as

Answer

Max Z = 5xy

Max Z 5x2 + 2y2

Max 3x + 3y + 1/3z

Min (x1 + x2) / x3

Question 14

Cully furniture buys 2 products for resale: big shelves (B) and moderation shelves (M). Each big rejection costs $500 and requires 100 dense feet of storage quantity, and each moderation rejection costs $300 and requires 90 dense feet of storage quantity. The society has $75000 to endue in shelves this week, and the depot has 18000 dense feet beneficial for storage. Benefit-service for each big rejection is $300 and for each moderation rejection is $150. What is the external administration?

Answer

MAX Z = $300B + $100 M

MAX Z = $300M + $150 B

MAX Z = $300B + $150 M

MAX Z = $300B + $500 M

Question 15

A graphical representation of a straight program is shown adown. The retired area represents the possible district, and the dashed sequence in the average is the swell of the external administration.

graph did not copy/paste

If this is a maximization, which remote summit is the optimal key?

Answer

Point B

Point C

Point D

Point E

Question 16

The subjoined is a graph of a straight programming gist. The possible key quantity is retired, and the optimal key is at the summit labeledZ*.

graph did not copy/paste

This straight programming gist is a:

Answer

maximization gist

minimization gist

irestablished gist

cannot report from the advice impartn

Question 17

The product director for the Coory luxurious quaff society is regarding the product of 2 kinds of luxurious quaffs: established (R) and food(D). Two of the poor productss are product duration (8 hours = 480 minutes per day) and syrup poor to 675 gallons per day. To profit a established plight requires 2 minutes and 5 gallons of syrup, conjuncture a food plight needs 4 minutes and 3 gallons of syrup. Receipts for established luxurious quaff are $3.00 per plight and benefit-services for food luxurious quaff are $2.00 per plight. What is the duration distraction?

Answer

2R + 5D ≤ 480

2D + 4R ≤ 480

2R + 3D ≤ 480

2R + 4D ≤ 480

Question 18

Solve the subjoined graphically

Max z = 3x1 +4x2

s.t. x1 + 2x2 ≤ 16

2x1 + 3x2 ≤ 18

x1 ≥ 2

x2 ≤ 10

x1, x2 ≥ 0

Find the optimal key. What is the appraise of the external administration at the optimal key? Note: The rejoinder succeed be an integer. Please impart your rejoinder as an integer delayout any decimal summit. For model, 25.0 (twenty five) would be written 25

Answer

Question 19

Max Z = $3x + $9y

Subject to: 20x + 32y ≤ 1600

4x + 2y ≤ 240

y ≤ 40

x, y ≥ 0

At the optimal key, what is the quantity of slow associated delay the relieve distraction?

Answer

Question 20

Consider the subjoined straight programming gist:

Max Z = $15x + $20y

Subject to: 8x + 5y ≤ 40

0.4x + y ≥ 4

x, y ≥ 0

At the optimal key, what is the quantity of slow associated delay the principal distraction?

Answer