Maximize z=200x+300y subject to x+2y<10 ,x+y<6,x>4 and x>0 ,y>0

Answer:In theory I would have started looking at the critical points of the function, ie where the tangent plane is horizontal. Trick is, since the function is linear in both x and y the tangent plane is the curve itself, and it's never horizontal. We have to parametrize the border and look in there.From the last two conditions ([tex]x>0; y>0[/tex]) we are looking only at the first quadrant. Let's start drawing lines.The various restrains are color coded in the graph ([tex]x+2y<10[/tex] is red, [tex]x+y<6[/tex] is blue, [tex]x>4[/tex] is orange). That leads to the right triangle with a grey border that gets parametrized as shown. Due to the linearity of the original function, the maximum is at one of the extremes (upper or lower depending if the coefficient of the parameter is positive or negative). At this point is just calculating the values, pick up the largest, and see which points correspond to that value of the parameter.Number crunching done, the maximum is at (4,2)

Mathematics College

Maximize z=200x+300y subject to x+2y<10 ,x+y<6,x>4 and x>0 ,y>0

Answers

Answer 1

Answer:

In theory I would have started looking at the critical points of the function, ie where the tangent plane is horizontal. Trick is, since the function is linear in both x and y the tangent plane is the curve itself, and it's never horizontal. We have to parametrize the border and look in there.

From the last two conditions ([tex]x>0; y>0[/tex]) we are looking only at the first quadrant. Let's start drawing lines.

The various restrains are color coded in the graph ([tex]x+2y<10[/tex] is red, [tex]x+y<6[/tex] is blue, [tex]x>4[/tex] is orange). That leads to the right triangle with a grey border that gets parametrized as shown. Due to the linearity of the original function, the maximum is at one of the extremes (upper or lower depending if the coefficient of the parameter is positive or negative). At this point is just calculating the values, pick up the largest, and see which points correspond to that value of the parameter.

Number crunching done, the maximum is at (4,2)

Maximize Z=200x+300y Subject To X+2y<10 ,x+y<6,x>4 And X>0 ,y>0

Related Questions

A right triangle is shown in the graph. Part A: Use the Pythagorean Theorem to derive the standard equation of the circle with center at (r, s) and a point on the circle at (x, y). Show all necessary math work. (3 points) Part B: If (r, s) = (7, –4) and t = 10, determine the domain and range of the circle. (4 points) Part C: Is the point (9, 1) inside the border of the circle if (r, s) = (7, –4) and t = 10? Explain using mathematical evidence. (3 points)

Answers

Answer:

Part A, write out the equation by subtracting the vertex from x and y, then set it equal to the radius square. All of this information is given in the picture. Then the domain is all the x's and the range is all the y's starting at the center and going out 10 in each direction since 10 is the radius.

Step-by-step explanation:

Use the circle formula that you learned in lesson 3.02 using the given points. Remember this quiz was open note and your formula should be in your notes. Also, it should be familiar to you from Geometry and middle school math where you first learned about circles:)

what is the probability of a 200 year flood this year

Answers

Answer:

0.5 chance

Step-by-step explanation:

Likewise, the term "100-year storm" is used to define a rainfall event that statistically has this same 1-percent chance of occurring.

Answer:

0.5

Step-by-step explanation:

The possibility are very very very low, but never a no

A recipe for cinnamon rolls calls for 3 cups of flour for every cup of water. Using the same recipe, how much water will you need for 5 cups of flour?
How many cups of water will you need for 5 cups of flour?

Answers

Answer:

5/3 cups of flour

Step-by-step explanation:

3/1=5/x x representing the amount of water

cross multiply: 3x=5

divide by 3: x=5/3

A Subchapter S corporation:

is similar to a partnership in that it carries unlimited liability.

is a separate legal entity which is treated like a normal corporation.

has all the organizational benefits of a corporation and its income is only taxed once.

all of the above.

Answers

C is it yea separate

50 Points! Please only answer if you know! Thank you.

Graph the system of linear inequalities. Your graph should demonstrate that you're following the instructions below.

Use x- and y- intercepts to graph inequality A.
Use point-slope form to graph inequality B.

A) 3x - 9y > 27
B) (y-3) ≤ -4/3 (x+7)

Show ALL work and EXPLAIN all your steps.
Thank you for helping me understand this.

Answers

Answer:

See below

Step-by-step explanation:

A) 3x - 9y > 27

x- intercept at y = 0 is:

3x = 27x = 9

y-intercept at x = 0 is:

- 9y = 27y = -3

Connect the two points (9, 0) and (0, -3) with dotted line (because of <) and shade below line (because y < ).

B) (y-3) ≤ -4/3 (x+7)

Use one point from the equation:

(-7, 3)

Find the second point using the slope - 4/3, add 3 to x and - 4 to y:

x = -7 + 3 = - 4y = 3 - 4 = - 1

Connect these two points (-7, 3) and (-4, -1) with solid line (because of ≤ ).

Shade the area below the line (because y ≤ ).

Someone help me pls

Answers

Answer:

-1 = 2(-1 -1) = -4

0 = 2(0-1) = -2

1 = 2(1-1) = 0

2 = 2(2-1) = 2

Step-by-step explanation:

x = the number on the left column

for the middle colum, you need to do 2(x -1)

for the right column, you do : (x - 1) x 2)

What is the equation of the line in slope-intercept form?

Answers

Answer:

y=3/5x+3

Step-by-step explanation:

3 is the y-intercept so that is the "b". To find the slope simply use rise/run.

A square is 3 inches by 3 inches. What is its area

Answers

Answer:

Step-by-step explanation:

Because area is multipication, you need to multiply legth and width. So 3x3=6. Hope it helps! :)

¿Cuál es la pendiente perpendicular a la pendiente m = 3 ?

Answers

Answer:

The slope of a line perpendicular to a vertical line is zero.

Step-by-step explanation:

A single card is drawn at random from a standard 52 card deck. Work out the following probabilities in their simplest form: P(4)= P(not 4)=

Answers

Answer:

Step-by-step explanation:

Total Number of possible outcomes = 52

Getting a jack from a deck of 52 cards for a certain event (A) = 4

The Probability (A) = 4/ 52

= 1 / 13 = 0.07

Hope you like it please mark as brainliest.

Use the commutative property to simplify the expression 1/8 x 2/5 x 16?

A. 16 x 1/8 x 2/5 = 2x 2/5 = 4/5
B. 2/5 x 1/8 x 16 = 2/40 x 16 = 3/4
C. (1/8 + 2/5) x 16 + 32/5
D. 1/8 x (2/5 x 16) = 2/5

Answers

The correct answer is A

A rope is 225 centimeters long.
You need the rope to be 1.5 meters long.
How many centimeters should you cut off?

Answers

Answer:

1.5 meters = 150 centimeters (multiply by 100)

Therefore, you should cut off [tex]225-150=75[/tex] centimeters.

how many times can 2 go into 67

fourth grade help

Answers

Answer:

Step-by-step explanation:

To answer this, divide 67 by 2, writing the answer as a mixed number:

---- = 33 1/2

thus, 2 can go into 67 33 times, keeping in mind that there's a remainder (1/2).

help quick due in 10 minutes you will be reported if you spam Ivan is 75 inches tall if his brother Logan was 5 inches shorter, he would be exactly half Evan's height How tall is Logan? Enter your answer as a decimal in the box,

Answers

Answer:

Step-by-step explanation:

if not correct I'm very very sorry I tried my best for this</3

(1 point) In how many ways can 3 different novels, 2 different mathematics books, and 1 biology book be arranged on a bookshelf if (a) the books can be arranged in any order

Answers

Answer:

3 ways

Step-by-step explanation:

three ways it can be arranged on the bookshelf three different novels, two different mathematic, books 1 Biology book are 1 Biology book, two different mathematic books, three different novel books are two different mathematic books three different novel books 1 Biology book arranged on the bookshelf if a the book can be arranged in any order

1. What percent of 120 is 18?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

120 · 15% = 18

I hope this helps!!

write an equation to represent CJ’s total pay

Answers

Answer:

P = 15h

I hope it helps.

Y=1/2x-5
What is the slope?

Answers

Answer: 1/2

Step-by-step explanation:

Slope is the number in front of x

Answer:

The slope of the line or m is represented by 1/2. x and y are coordinates on the line and -5 represents the y-intercept. The used for this equation is y = mx + b. M = slope and b is the y-intercept

Step-by-step explanation:

Hope I made sense to you.

If 7 cats take 7 minutes to catch 7 mice how long will it take for 21 cats to catch 21 mice

Answers

Answer:

21 min

Step-by-step explanation:

Below are the graphs of the functions y=2x and y3x What is the same about both lines?

Answers

C they rise upward toward the right

A rectangular plot of land is 100 feet long and 50 feet wide. How long is the walkway along the diagonal? Round to the nearest foot.

A.
75 feet
B.
87 feet
C.
112 feet
D.
150 feet

Answers

150 so yea hjhhhhhhhhhhhhhhhhhhhh

Answer:

Step-by-step explanation:

Pythagorean theorem

A^2 + B^2 = C^2

Determine whether the graphs of given pair of equations are parallel,
perpendicular, or neither. 2x+5y=15
3x+5y=15

Answers

Answer:

Neither because x can't equal 3 and equal 2 at the same time and 2x + 5y doesn't equal 3x + 5y. 3x is > 2x by one x

Step-by-step explanation:

Hope this answer works for you!

Is the following relation a function?
X. Y
-1. -2.
2. 3
3. 1
6. -2

Answers

Answer:

Step-by-step explanation:

x y

−1 −2

2 3

3 1

6 −2

Answer:

Step-by-step explanation:

6 and -2 is not a function

What does X = please help me Asp now

Answers

Answer:

13 degrees

Step-by-step explanation:

Because of the alternate interior angles, I know that angle EB is also 77. Now, knowing that it's a right angle, I can subtract 77 from 90 to get 13.

Celia's scores in the 5 quizzes Math are 18,12,15,19. What is her average score in Math?
d. 18
a. 15
c. 17
b. 16

Answers

Step-by-step explanation:

(18+12+15+19)÷5

64÷5

Answer: B. 16

Explanation
(18+12+15+19)/4
64/4
16

write the percent as a decimal .84

Answers

Answer: 84%

Step-by-step explanation:

“write the percent as a decimal” - it already is a decimal.
It’s 84% by the way

Evaluate the expression -2

Answers

Answer: 2x for x=3: 2(3) = 6.

Step-by-step explanation:

Dеtеrmіnе tһе rаnցе օf tһе fսnсtіօn f(х) = 3х - 5 ԝһеn tһе ԁօmаіn іѕ {-4, 2, 9}.

Answers

Answer:

range is { - 17, 1, 22 }

Step-by-step explanation:

Substitute the values from the domain (input) into f(x) for range

f(- 4) = 3(- 4) - 5 = - 12 - 5 = - 17

f(2) = 3(2) - 5 = 6 - 5 = 1

f(9) = 3(9) - 5 = 27 - 5 = 22

range is { - 17, 1, 22 }

PLEASE HELP ME IN THIS, THIS ASSIGNMENT IS DUE IN 4 MINUTES, ITS A 6TH GRADER QUESTION

Answers

Answer:

Step-by-step explanation:

jesushhhh

The answer is three
.........

Answers

Answer:

42.5 inches

Step-by-step explanation:

Ivan is 75 inches tall, and Logan would be half his size, 37.5 that is, if he were 5 inches shorter. That means logan is 42.5 inches.

Answer:

Logan is 42.5 inches

Step-by-step explanation:

half of Ivan is 37.5

Logan is 5 inches taller than 37.5 so 42.5

Hope this helps!

Let me know if it does and if the answer is right

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Maximize z=200x+300y subject to x+2y<10 ,x+y<6,x>4 and x>0 ,y>0​

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Maximize z=200x+300y subject to x+2y<10 ,x+y<6,x>4 and x>0 ,y>0