1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex73 [517]
3 years ago
12

Given the following constraints, find the maximum and minimum values for z. Constraints: 2x−y≤124x+2y≥0x+2y≤6 Optimization Equat

ion: z=2x+5y
Mathematics
1 answer:
spin [16.1K]3 years ago
7 0

Answer:

Minimum = 0

Maximum = 15

Step-by-step explanation:

Given

Optimization Equation: z = 2x + 5y

Constraints:

2x- y \le 12

4x + 2y \ge 0

x + 2y \le 6

x,y\ge 0

Required

The maximum and the minimum values of z

To do this, we make use of graphical method.

Plot the constraints on a graph (see attachment)

Get the corner points from the points.

These are the points where x,y\ge 0

So, we have:

(x_1,y_1) = (0,0)

(x_2,y_2) = (0,3)

(x_3,y_3) = (6,0)

Substitute these points in the optimization equation:

(x_1,y_1) = (0,0)

z = 2x + 5y

z = 2 * 0 + 5 * 0 = 0

(x_2,y_2) = (0,3)

z = 2 * 0 + 5 * 3 = 15

(x_3,y_3) = (6,0)

z = 2 * 6 + 5 * 0 = 12

So, the values are:

Minimum = 0

Maximum = 15

You might be interested in
Anyone know this? thank you
PSYCHO15rus [73]

Answer:

Exact form: 8\sqrt[4]{8}

Decimal form: 13.45434264......


Hoped I Helped



4 0
3 years ago
How much higher is 500 than -400 m
gogolik [260]

Answer:

900m

Step-by-step explanation:

All you have to do is find the difference between the two measurements

500 - (-400)

Then, two negatives create a positive:

500 + 400

= 900

3 0
3 years ago
Read 2 more answers
Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? Round to the nearest whole n
nikdorinn [45]

Answer:

9 Sides

Step-by-step explanation:

According to the Question,

  • Given That, The sum of the interior angles(s), in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides

Therefore, The sides do a polygon have if the sum of the interior angles is 1,260°.

Put The Values in Formula, we get

1260=180(n−2)

n-2 = 7

n=9 (9 Sides)  

6 0
3 years ago
Download guathmath and put it my code please it's an app with tutors it's faster! WFHUZJ
timofeeve [1]

Answer: Advertisement?

Do I need an explanation? : Y e s  I  d o

7 0
3 years ago
Bilal's favorite colors are red and green.
Arte-miy333 [17]

Answer:

P(A∪B) = 1/3

Step-by-step explanation:

Red  Garments = 1 red shirt + 1 red hat  + 1 red pairs of pants

Total Red Garments = 3

Green Garments =  1 green shirt + 1 green scarf + 1 green pairs of pants

Total Green Garments = 3

The total number of garments =  Total Red Garments + Total Green Garments:

3 + 3 = 6

Let A be the event that he selects a green garment

P(A) = Number of required outcomes/Total number of possible outcomes

P(A) =  3/6

Let B be the  event that he chooses a scarf

P(B) = 1/6

The objective here is to determine P(A or B) = P(A∪B)

Using the  probability set notation theory:

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∩B) = Probability that a green pair of pant is chosen = P(A) - P(B)

= 3/6-1/6

= 2/6

P(A∪B) = 1/2 + 1/6 - 2/6

P(A∪B) = 2/6

P(A∪B) = 1/3

8 0
3 years ago
Read 2 more answers
Other questions:
  • How much is 4÷30000000
    14·2 answers
  • Whats the upper bound for estimate for 354 + 267?
    13·1 answer
  • Write the decimal 0.237 as a percent.
    14·2 answers
  • (1,2)<br>  <br> with a slope of−4/5
    11·1 answer
  • 12.) (5pts) Sarah wants to fence her garden, as shown below. Determine how much fencing to the nearst foot hd
    11·1 answer
  • Howard earned $48 in interest after saving for 3 years at a simple annual interest rate of 2%. How much did Howard originally de
    9·2 answers
  • 28= -2u<br> u= ?<br> Basically, U equals what?
    15·1 answer
  • What number is 30% of 100
    6·2 answers
  • Question:
    8·1 answer
  • Please help i dont get it
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!