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&lt;10 ,x+y&lt;6,x&gt;4 And X&gt;0 ,y&gt;0

Related Questions

Help help math math math please help help help

Answers

Yes they are congruent

answer this asap please its emergency

Answers

Step-by-step explanation:

emergency ? why ? you are in the middle of a game with such an unfair die ?

the probabilty for a number of a regular die is 1/6 (desired cases divided by total possible cases).

the probability to role an even number is therefore 3/6 = 1/2.

that means, even and odd are the 2 possible outcomes.

now, for the unfair die we can see it as if we have now 4 possible outcomes : 3 times an even number, and 1 time an odd number.

so, the probability to roll an even number is 3/4 (and for an odd number 1/4).

now, we roll it twice.

for the sum to be even, we either have to roll 2 even numbers or 2 uneven numbers.

the probabilty is the sum of the both probabilities (it is an exclusive "or" relationship).

the probability to roll 2 even numbers is

3/4 × 3/4 = 9/16

the probability to roll 2 uneven numbers is

1/4 × 1/4 = 1/16

the sum is

9/16 + 1/16 = 10/16 = 5/8

so, E is the right answer.

7x+3y=m, solve for y

Answers

Y= (m-7x)/3

We need to subtract 7x on both sides
Then divide the entire thing by 3

There are 10 board members on the Community Arts Council. In how many ways can a president and treasurer be chosen

Answers

Answer:

45

Step-by-step explanation:

This is a combination question: how many ways can you pick 2 people from a group of 10?

Using the notation C(10, 2) for the number of combinations of 10 things chosen 2 at a time...

[tex]C(10, 2)=\frac{10!}{2!(10-2)!}=\frac{10!}{2!\cdot 8!}=\frac{10\cdot 9}{2\cdot 1}=45[/tex]

If x^2 - (3x-a) (bx-1) = c, where a, b, and c are constants, what id the value of c?
A. 9
B. 7
C. 13
D. 2

Answers

A is the correct answer

The table shows a linear relationship between x and y.
x
-6
-3
1
4
Y
21
13.5
3.5
-4

What is the slope of the line represented by the values in the table?

Answers

The slope of the line is: 5/6


Hope this helps!! :)

A car is traveling at a speed of 54 kilometers per hour. What is the car's speed in meters per second? How many meters will the car travel in 10 seconds? Do not round your answers.

Answers

we would convert this using conversions. multiply 54 times 1000 to get your work into meters and 1 times 3600 to get hours into seconds. divide the 2 answers to get 15 m/s.

reposting this again because the first time didn’t work (please help!)

Answers

Answer:

I still can't open the file or I can't see it

Step-by-step explanation:

Math experts please simplify this thank you

Answers

Answer:

t+4 / t-4

Step-by-step explanation:

(t^2 - 16) / (t^2 -8t +16)

=( t^2 - 4^2) / (t^2 - 2*4*t + 4^2)

by formula a^2 - b^2 = (a+b)(a-b)

= (t+4)(t-4)  / (t-4)^2

= (t+4)(t-4)  / (t-4)(t-4)

= t+4 / t-4

What fraction of an hour is 21 minutes in simplest form

Answers

7/20

Step-by-step explanation:

21 ÷ 3 = 7

21 - 1 = 20

7/20

What is the proper order of function of 2+5(8-5)

Answers

Answer:

17

Step-by-step explanation:

2+5×3

2+15

17

If p=7, then what is the value of 8×p−68×p-6?
A
6

B
9

C
50

D
56

Answers

Answer:

d

Step-by-step explanation:

you need to type it in the calculator and solve it

An electrician charges a rate of $60 per hour plus a fee of $35 per job. Which expression represents the electrician's hourly rate?

60 + 35h

Answers

The hourly rate is 60, so multiply 60 by the number of hours (h) and add the fee:

Answer: 60h + 35

please i need help

How many rows of seats are inside the theater? Enter your answer in the box.

Answers

Answer:

24 rows

Step-by-step explanation:

384 seats in total, and 16 chairs in a row, so 384/ 16=

24 rows

Hope this helps!

LMK if it does

Let f(x)= – 2x-1, h(x) = - X+2.
Find (f o h)(-1).

Answers

f(x) = -2x - 1 h(x) = -x + 2

(f o h)(-1) = ...

= f(h(-1))

= f(-1 + 2)

= -2(-1 + 2) - 1

= 2 - 4 - 1

= -2 - 1

= -3

Give TWO different ways to write EACH expression in WORDS.
a. -8n
b. a - 1
c. x/2-4
d. 5y + 9

Answers

Answer:

a. negative eight times a number, the product of a number and negative eight

b. one less than a number, a number minus one

c. four less than the quotient of a number and two, half of a number minus four

d. nine more than the product of five and a number, five times a number plus nine

lemme know if this was a help :P

Step-by-step explanation:

What is the simplified form of the expression? 7r - 8r + 13 -2r + 5? Please help me

Answers

Answer:

- 3r + 18

Step-by-step explanation:

7r - 8r - 2r + 13 + 5 = 7r - 10r + 18

F(x) = x - 3√×
graph this function​

Answers

Slop1
Y intersects: (0, -square root of 3)

You need 1 1/4 cups of sugar to make 20 cookies. To make 16 cookies you will need how much sugar?

Answers

Answer:

You need 1 cup of sugar.

Step-by-step explanation:

16/20 = 4/5

1 1/4 = 5/4

5/4 x 4/5 = 1

You need 1 cup of sugar.

Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function.
f(x)=2(x−8) ^2−3

Answers

Answer:

It's a minimum, at (8, -3)

Step-by-step explanation:

Option 1: you unwrap the square , add like terms, and then recognize it's a parabola and find the coordinates of the vertex.

Or look at it as -3 + something ^2. It means you are adding something positive to -3, so the sum is greater or equal to -3, that is the definition of a minimum. At that point you find the minimum by setting that something equal to 0 (which gives you x = 8) and the value is -3 + 0 = -3

Question 19
A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?
A. 52
B. 158
C. 210
D. 213
E. 218

Answers

Answer:

D. 213

Step-by-step explanation:

The number of black pieces is 5 more than 3 times the white pieces:

b = 3w + 5

Let the number of rounds is x.

Initial number of white nd black pieces:

w = 7x + 3b = 15x + 56

Substitute the values of b and w into first equation and find the value of x:

15x + 56 = 3(7x + 3) + 515x + 56 = 21x + 146x = 42x = 7

Find the number of pieces:

w = 7*7 + 3 = 52b = 3*52 + 5 = 161w + b = 52 + 161 = 213

Correct choice is D

Answer:

A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?

A. 52

B. 158

C. 210

D. 213

E. 218

Identify this function
f (x) =x

Answers

Answer:

linear

Step-by-step explanation:


problem referred below

Answers

Answer:

?? i don't know the answer

Convert 101100 2 to decimal

Answers

Answer:

The answer is 101100

I need a help.... thankyouu to those who can ans. this:))

A. BSA Method
B. Clark's Rule

(20 points)​

Answers

A

Step-by-step explanation:

just trust me that is the correct answer

Emily sells her books through Amazon. She makes a profit of $3 per book sale, however, she needs to pay $6 to Amazon Pay in fees for using their app. How many books would she need to sell to make a profit of at least $120 per day?

Answers

Answer:

Step-by-step explanation:

ASSUMING the usage fees are daily fees

120 = 3x - 6

126 = 3x

x = 42 books

Wind forms desert pavement through ___.

A. sublimation
B. random acts of kindness
C. deposition
D. erosion

Answers

Answer:

D. erosion

Step-by-step explanation:

The wind is a stronger erosional force in arid regions than it is in humid regions because winds are stronger. In humid areas, water and vegetation bind the soil so it is harder to pick up. In arid regions, small particles are selectively picked up and transported. As they are removed, the ground surface gets lower and rockier, causing deflation. What is left is desert pavement, a surface covered by gravel-sized particles that are not easily moved by wind.

What is the answer I’m so stuck on this one

Answers

the answer is B

P/s : i use my calculator

ok done. Thank to me :>

Option A is the answer

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

(x-1) (x-4) is the answer


Please help if you can!

Answers

Answer:

-3

Step-by-step explanation:

that’s where the line intercepts with the y axis

Answer:

-3,0 is y intercept good luck

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