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