I SHAT MY PANTS HELP OMG

Given:

The objective function, [tex]C=2x+3y[/tex],

Constraints,

[tex]2x+3y\leq 24[/tex]

[tex]3x+y\leq 15[/tex]

[tex]x\geq 2[/tex]

[tex]y\geq 3[/tex]

To find:

The minimum value of the given objective function.

Solution:

We have,

Objective function, [tex]C=2x+3y[/tex]            ....(i)

The related equations of given constraints are

[tex]2x+3y=24[/tex]       ...(ii)

[tex]3x+y=15[/tex]              ...(iii)

[tex]x=2[/tex], it is a vertical line parallel to y-axis and 2 units left from y-axis.

[tex]y=3[/tex], it is a horizontal line parallel to x-axis and 4 units above from y-axis.

Table of value for (i),

x :   0     12

y :   8     0

Table of value for (ii),

x :   0      5

y :   15     0

Plot these points on a coordinate plane and draw these 4 related lines.

The sign of inequality of [tex]2x+3y\leq 24[/tex] and [tex]3x+y\leq 15[/tex] is ≤, it means the related lines are solid lines and the shaded region lie below the related line.

For [tex]x\geq 2[/tex], left side of the line [tex]x=2[/tex] is shaded.

For [tex]y\geq 3[/tex], shaded region is above the line [tex]y=3[/tex].

From the below graph it is clear that the vertices of the feasible (common shaded region) are (2,3), (4,3), (3,6) and (2,6.667).

Points                     [tex]C=2x+3y[/tex]    

(2,3)                        [tex]C=2(2)+3(3)=4+9=13[/tex]    (Minimum)

(4,3)                        [tex]C=2(4)+3(3)=8+9=17[/tex]    

(3,6)                        [tex]C=2(3)+3(6)=6+18=24[/tex]    

(2,6.667)                 [tex]C=2(2)+3(6.667)=4+20=24[/tex]

Therefore, the objective function is minimum at point (2,3).

Answer:

Step-by-step explanation:

5/6 x = 13.50             Multiply both sides by 6

5x = 13.50 * 6

5x = 81                       Divide by 5

x = 81/5

x = 16.2

I believe the answer is 1in

Answer: I said 1 inch. I am not 100% sure.

Step-by-step explanation:

Answer:

5/3

Step-by-step explanation:

Trigonometric ratio

Cot θ = Adjacent side/Opposite side

It is given that,

Cot θ  = 4/3

Adjacent side = 4

Opposite side = 3

Csc θ = Hypotenuse/Opposite side

To find the Hypotenuse

Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²

Hypotenuse = √(3²+ 4²) = 5

To find Csc θ

Csc θ = Hypotenuse/Opposite side = 5/3

Answer:

Option D

Step-by-step explanation:

Answer:

1 = 7x=42 (divide both sides by 7)

7x/7 =42/7

x=6

2.=9y=81 (divide both sides by 9)

9y/9y= 81/9

y=9

3.= –40=8a (divide both sides by 8)

–40/8= 8a/8

a=5

4.=y divided 11=12

y=11 multiplied by 12

y= 132

5.= –15y=135( divide both sides by –15)

–15y/–15=135/–15

y= –9

6.= 17p=51(divide both sides by 17)

17p/17=51/17

p=3

7.= –65= –13w (divide both sides by 13)

–65/–13=–13w/–13

w=5

8.=y/–2=4

(cross multiply)

y/–2=4/1

4 multiplied by –2= –8

therefore:y= –8

Step-by-step explanation:

I HOPE THIS HELPED :)

Answer:

a) 7x=42

Step-by-step explanation

use the co-efficient of the unknown to divide both sides

7x=42

7x/7=42/7

x=6

9y=81

9y/9=81/9

y=9

-40=8a

is the same thing as

-8a=40

-8a/-8=40/-8

a=-5

y+11=12

y=12-11

y=1

-15y=135

-15y/-15=135/-15

y=9

17p=51

17p/17=51/17

p=3

-65=-13w

13w=65

13w/13=65/13

w=5

y/-2= 4

cross multiply y=-8

Answer:

174

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

You divide 56, the total amount, by 8, the amount of piles.

56/8 = 7

Answer:

32

Step-by-step explanation:

first multiply 6×1.

1/2×(6×7)+11

Then multiply 6×7

1/2×42+11

Third you multiply 1/2 and 42

1/2×42= 21

finally you add together 21+11

21+11= 32

Answer: I believe the answer is 2,3, and 4. If not, then it is just 2 and 4.

Step-by-step explanation:

Answer:

llll, Vl, Vll

Step-by-step explanation:

Answer:

d. 770

Step-by-step explanation:

35 gallons per min

after 12 mins there is 350 gallons of water

35 x 12 = 420

how much water was in the tank BEFORE the valve was opened

350 + 420 = 770

Answer: all my caculations are leading me to B

Answer:

I think its either C or D. Hope this helps, give brainliest if correct!

Answer:

w=30.5 y=29

Step-by-step explanation:

2w=61 so w=30.5

61+y=90 so y=29

Answer:

[tex]Scale\ Factor = \frac{1}{2}[/tex]

ABC dilated

Step-by-step explanation:

Given

Triangles ABC and DEF

Required

Determine the scale of dilation

First, we pick a side on ABC

[tex]AB = 6[/tex]

Pick a corresponding side on DEF

[tex]DE = 3[/tex]

The scale factor is then calculated as:

[tex]Scale\ Factor = \frac{DE}{AB}[/tex]

[tex]Scale\ Factor = \frac{1}{2}[/tex]

i.e. ABC was dilated by 1/2

Hello there maybe you shouldn't drop out of highschool because you might find some opportunities and um its your choice.

Answer:

it's true. because it has more type of sums and head pain will come

Answer:

When two equations have the same slope but different y-axis, they are parallel. Since the two equations never intersect, the system has no solutions.

you can decide your answer from that explanation!

Answer:

That would be 1.5

Step-by-step explanation:

Here it is.

The scale factor of the drawing is 200.

The first step to take when looking for the scale factor of a drawing is to ensure both measurements are on the same unit.

Given a scale for a drawing to be:  1 mm: 20 cm

1 cm = 10 m

Therefore:

20 cm = 200 mm

Scale factor = 200/1 = 200.

Therefore, the scale factor of the drawing is 200.

Learn more about scale factor on:

https://brainly.com/question/2826496

Answer:

B

Step-by-step explanation:

Triangle B because 128°>90°

Answer:

it should be correct ANSWER D TRIANGLE B

Step-by-step explanation:

"An obtuse triangle is a triangle in which one of the angles is an obtuse angle. (Obviously, only a single angle in a triangle can be obtuse or it wouldn't be a triangle.) A triangle must be either obtuse, acute, or right"

-dont worry you are smart we are all good at something!

Answer:

4 : 39

5 : 52

6 : 67

7 : 77

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

12 feet divided by 3 hours is 4

Answer:

4 feet per hour

Step-by-step explanation:

12 feet in 3 hours

12/3 = 4

4 feet in 1 hour

Answer:

Step-by-step explanation:

Multiply through the 3 of the first bracket to get 3m +12. Then multiply out the second bracket by -2 to get -8m -2.

Write it out in a line: 3m + 12 - 8m -2

Simplify: -5m +10

Divide by -5 again to simplify further: m - 2

Answer:

=7m+30

Step-by-step explanation:

Distribute:

=(3)(m)+(3)(2)+(4)(6)+(4)(m)

=3m+6+24+4m

Combine Like Terms:

=3m+6+24+4m

=(3m+4m)+(6+24)

=7m+30

Answer:

6(y+1.5)=-18

6y+9=-18 -9

6y=-27 ÷6

y=-4.5

Step-by-step explanation:

prove me wrong

Answer:

-4.5

Step-by-step explanation:

6(y+1.5)=-18

y+1.5=-18/6

y+1.5=-3

y=-3-1.5

y=-4.5

Answer:

The answer is A

Step-by-step explanation:

Answer:

X=0 {multiplicity of 1}

X=2 {multiplicity of 1}

X=7/3 {multiplicity of 1}

Step-by-step explanation: