What is the minimum value of P = x - 2y over the feasibility region defined by the constraints shown?

a) 8
b) -2
c) -16
d) -14

What Is The Minimum Value Of P = X - 2y Over The Feasibility Region Defined By The Constraints Shown?a)

Answers

Answer 1
To find the minimum value of P = x-2y first you need to find the coordinates of vertices (i.e. the corners).
After that plug each of those points into p = x -2y, to see which one gives the lowest number.
Answer 2

the answer is -14

hope this helps   : )


Related Questions

A jug of juice holds 8 cups. convert 8 cups to pints

Answers

8 cups convert to pints = 4 pints

Further explanation

7 main quantities have been determined based on international standards, namely:

1. Length, meters (m)2. Time, second (s)3. Mass, kilograms (kg)4. Temperature, kelvin (K)5. Light intensity, candela (cd)6. Electric current, ampere (A)7. Amount of substance, mol (m)

Volume is a derivative quantity derived from the length

The unit of volume can be expressed in liters or milliliters or cubic meters

The conversion is

1 cc = 1 cm³

1 dm = 1 Liter

1 mL = 1 cm³

1 L = 1 dm³

The other common units for US standart volume are :

Fluid OuncesCupsPintsQuartsGallons

The conversion for all those units :

1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces

The conversion for pints and cups :

[tex]\large{\boxed{1\:pints=2\:cups}}}[/tex]

A jug of juice holds 8 cups

so 8 cups = 8 : 2 pints

8 cups = 4 pints

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Keywords: volume,pints, cups, a jug, juice

solve for x. round to nearest tenth if needed.


1. 7r-7=2r+18

a.r=-5
b.r=5
c.r=2.2
d.r=1.2


2. 2x+12=18-x

a.x=3
b.x=10
c.x=6
d.x=2



3. 8x-3=15x+18

a.x=-3
b.x=3
c.x=2.1
d.x=0.9



4. 6y-6=4y+16

a.y=2.2
b.y=-2.2
c.y=11
d.y=5


5. 3(x-4)=5(x+2)

a.x=11
b.x=-11
c.x=1
d.x=-1

Answers

7r-2r=18+7→5r=25→r=5
-----------------
2x+x=18-12→3x=6→x=2
---------------
8x-15x=18+3→-7x=21→x=-3
----------------
6y-4y=16+6→2y=22→y=11
--------------
3x-12=5x+10→3x-5x=10+12→-2x=22→x=-11

On solving the linear equations given, we get the values as 5, 2, -3, 11 and -11 for the equations  7r - 7 = 2r + 18, 2x + 12 = 18 - x, 8x - 3 = 15x + 18, 6y - 6 = 4y + 16 and 3(x - 4) = 5(x + 2) respectively.

What is Linear Equation?

Linear equations are equations which includes one or more variables and constants with the highest degree of the variable being 1.

1. 7r - 7 = 2r + 18

  Taking the variables on one side and constants on the other side,

  7r - 2r = 18 + 7

  5r = 25

  r = 5

2. 2x + 12 = 18 - x

   2x + x = 18 - 12

   3x = 6

   x = 2

3. 8x - 3 = 15x + 18

   8x - 15x = 18 + 3

   -7x = 21

   x = -3

4. 6y - 6 = 4y + 16

   6y - 4y = 16 + 6

   2y = 22

   y = 11

5. 3(x - 4) = 5(x + 2)

   Multiplying each term inside the bracket by the term outside,

   3x - 12 = 5x + 10

   3x - 5x = 10 + 12

   -2x = 22

   x = -11

Hence we got the values of the unknowns as 5, 2, -3, 11 and -11 for the equations  7r - 7 = 2r + 18, 2x + 12 = 18 - x, 8x - 3 = 15x + 18, 6y - 6 = 4y + 16 and 3(x - 4) = 5(x + 2) respectively.

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Transform the formula for the given variable: I=Prt solve for t

Answers

It would be I/Pr=t. All you must do is divide both sides by Pr.



A box has a width 9 inches less than its height and a length 7 inches more than its height.
a. If h is the height of the​ box, write a polynomial that represents the volume of the box.
b. Use this polynomial to calculate the volume for h​ = 17 inches.

Answers

So everything in this problem is in terms of height (h). We'll abbreviate width to w and length to l and volume to v

l=h+7
w=h-9

a.
volume is height x width x length

v=h*(h+7)*(h-9)

now we have to multiply these values

h*(h+7)=h^2+7h

(h^2+7h)*(h-9)=h^3-9h^2+7h^2-63h=h^3-2h^2-63h

b.
now we plug in h=17
v=17^3 -2(17)^2 -63(17) = which comes out to 2686

note: **i suggest going through these steps on your own mostly because it's late and i'm tired and that seems like an awfully large number so you may want to check it

Solve the inequality.

p – 9 < –9

Answers

I hope this helps you




p-9 < -9


p-9+9 < -9+9


p <0

your weekly wage is $400 what is your annual?

Answers

400 times 52 equals 20800
28000
$400 x 52 = $28000

For a $1,000 loan at a rate of 16 3/4 % for 5 years, the simple interest is a. $83.75
b. $167.50
c. $500.00
d. $837.50

Answers

d 837.5 is the right answer

Three water pipes are used to fill a swimming pool. The 1st pipe alone takes 8 hours to fill the pool, the 2nd pipe alone takes 12 hours to fill the pool, and the 3rd pipe takes 24 hours to fill the pool. If all 3 pipes are opened at the same time, how long will it take all 3 together to fill the pool?

Answers

For 4 h. The first pipe fills the whole pool for 8 hours so from here we see that it fills 1/8 each hour. The second pipe fills it for 12 hours so it fills 1/12 each hour. The third pipe fills it for 24 hours so it fills 1/24 each hour. Now the three of them together fill 1/8 + 1/12 + 1/24 of the pool each hour. That equals: 1st pipe 3/24 of the pool each hour, the 2nd pipe 2/24 of the pool each hour and the 3rd 1/24 each hour. So, the three pipes together fill 3/24 + 2/24 + 1/24 each hour. That's 6/24 of the pool each hour.
1st hour: 6/24
2nd hour: 12/24
3rd hour: 18/24
4th hour: 24/24

Compare 0.409 and 0.490 with >,<,=

Answers

0.409 < 0.490

hope this helps you

If M(-8, 12) is the midpoint of segment PQ, and P(8, 0), find the coordinates of Q.

Answers

P(x1,y1)= (8,0)
Q(x2,y2)=(a,b)
M(x,y)=(-8,12)
x1+x2/2=-8;y1+y2/2=12
8+x2=-16;0+y2=24
x2=-24;y2=24
Q(x2,y2)=(-24,24)

If 6 is 24% of a number, what is 40% of the same number?

(A) 8
(B) 10
(C) 15
(D) 20

Answers

the answer is 10.the unknown number is 25.

To find 40% of the number where 6 is 24%, we first determine the whole number by dividing 6 by 0.24 to get 25. Then we calculate 40% of 25, which is 10.

If we know that 6 is 24% of a number, we can find the whole number by dividing 6 by 0.24. Once we have the full number, we can calculate 40% of it. Let's do the calculation step by step.

Calculate the whole number using the given percentage: Whole number = 6 / 0.24.

Perform the division to find the whole number: Whole number = 25.

Calculate 40% of the whole number: 40% of 25 = 0.40 * 25.

Perform the multiplication to find 40% of the number: 40% of 25 = 10.

Therefore, 40% of the same number is 10.

4x^2+4y^2=64
what are the domain and range

Answers

Use a graphing tool and you'll see a circle form. This circle has a center of (0,0) and radius of 4. Side note: this equation is equivalent to x^2+y^2 = 16 after you divide everything by 4

Looking at the graph, the smallest x can be is -4. The largest x can be is 4. So the domain in interval notation is [tex][-4,4][/tex]

Similarly the range in interval notation is also [tex][-4,4][/tex] because the lowest you can go is y = -4. The highest you can go is y = 4

The folding chair has different settings that change the angles formed by its parts. Suppose m2 is 34 and m3 is 76. Find m1The diagram is not to scale.
A. 130
B. 110
C. 100
D. 120

Answers

the answer is

first, the sum of angles in triangle is always  180°
so mx + m2 +m3 = 180°, so mx=1800-76-34=70°
but according to the figure m1 + mx=180°, so m1=180-mx=180-70=110°

the m1 = 110°


An electrician charges a $50 house call fee and $65 per hour for the work. Which algebraic expression represents this situation to represent the total cost for h hours of work?

Answers

$50 house call fee is a FIXED constant. There is no variable it multiplies to. $65 is attached to h because it represents how much you earn PER hour.

Thus:
$50+$65h
Final answer:

The algebraic expression is Total Cost = 65h + 50.

Explanation:

To represent the total cost for h hours of work, we need to consider the house call fee of $50 and the hourly rate of $65. The total cost will depend on the number of hours worked.

We can calculate the total cost using the expression: Total Cost = (Hourly Rate * Number of Hours) + House Call Fee.

Therefore, the algebraic expression that represents this situation is: Total Cost = 65h + 50.

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in a parallelogram consecutive angles are _

Answers

In a parallelogram consecutive angles are supplementary.

When you multiply or divide an inequality by a ______ number, you must flip the inequality symbol.

Answers

When you multiply or divide an inequality by a negative number, you must flip the inequality symbol.

An increase in total assets can be financed by an increase in which of the following capital components:


a. debt

b. preferred stock

c. common equity

d. All of the above ...?

Answers

An increase in total assets can be financed by an increase debt, preferred stock and common equity. So the answer is d. All of the above.

Write a proportion that can be used to find the cost of 10 notebooks if 3 notebooks cost $1.98.

Answers

The solution to the problem is as follows:


For 3 notebooks you pay $1.98 so the ratio is 1:0.66.
For 10 notebooks, then we could scale the ratio and it will become 10:6.60. So they will cost you $6.60.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

"Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not exist, enter DNE.)
f (x) = cos(πx/2)

Answers

Answer: The derivate is f'(x) = -sin(πx/2)*(π/2)

Step-by-step explanation:

We want the value of the derivate at each point marked:

As you may know, the derivate of cos(x) is equal to -sin(x)

And in our case:

f(x) = cos(πx/2)

f'(x) = -sin(πx/2)*(π/2)

Where the rule used is that the derivate of f(g(x)) is equal to f'(g(x))*g'(x)

Now, as you may see, in both the marked points the curve changes of direction, so the tangent line in that point must be zero, letsinput the values of x in the derivate and see if this is true:

f'(0) = -sin(π*0/2)*(π/2) = -sin(0)*(π/2) = 0

f'(2) = -sin(π*2/2)*(π/2) = -sin(π)*(π/2) = 0

So this makes sense.

name all opisties of -12

Answers

One opposite of -12 I know is 12 because you just take away the -
The opposite of -12 is 12 

can u show work 39472/78 ...?

Answers

We will use long division:
78 x = 390
Subtracting, then bringing down 7
47 is smaller than 78 so
78 x = 0
Bringing down 2, we get 472
78 x = 468
Subtracting, the remainder is 4

The answer is 506 with a remainder of 4.

what is the answer to n * $3.25 = 325.00 ?

Answers

N is going be 100.
let's solve your equation step-by-step

n(3.25)=325

Step 1: Simplify both sides of the equation


3.25n=325

Step 2: divide both side by 3.25


3.25n/3.25=325/3.25

n=100


What is the inverse of f(x)=-3x^3 6?

Answers

I hope this helps you

How to know if true or false?? HELP ASAP thank you!

picture added.

Answers

True
Because a negative square root is an i

The distance a spring will stretch varies directly with how much weight is attached to the spring. if a spring stretches 9 inches with 100 pounds attached, how far will it stretch with 90 pounds attached? round to the nearest tenth of an inch.

Answers

9/100 = x/90
Cross multiply to get 810 = 100x
Divide both sides by 100 to get x = 81 inches

find the missing angle of the triangle.

Answers

Is there a picture of the triangle?

3^x : write in terms of base e and simplify! ...?

Answers

3^x : write in terms of base e would 

3x=e^ln3^x

 =e^xln3
The given function is exponential. Meanwhile [tex]<b>change of base</b>[/tex] has something to do with logarithms. So we convert the function to logarithm function, change to the required base and convert back to exponential function.

Let

[tex]y = {3}^{x} [/tex]

Writing the above exponential equation as a logarithmic equation, we obtain;

[tex] log_{3}(y) = x[/tex]

We can apply the change of base formula to obtain,

[tex] \frac{ log_{e}(y) }{ log_{e}(3) } = x[/tex]

Or

[tex] \frac{ ln(y) }{ln(3) } = x[/tex]

We can cross multiply to obtain;

[tex] ln(y) = x ln(3) [/tex]

Taking logarithm of both sides to base e, we obtain;

[tex] {e}^{ ln(y) } = {e}^{x ln(3) } [/tex]

This implies that,

[tex]y= {e}^{x ln(3) } [/tex]
But we know that,
[tex]y = {3}^{x} [/tex]
Hence
[tex] {3}^{x} = {e}^{x ln(3)} [/tex]

If you subtract the death rate from the birth rate of a population, you will calculate what?

A. the arithmetic growth rate.
B. the expansion rate.
C. the carrying capacity.
D. the intrinsic growth rate.


Answers

The best and most correct answer among the choices provided by your question is the third choice or letter C.

If you subtract the death rate from the birth rate of a population, you will calculate the carrying capacity.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Subtracting the death rate from the birth rate of a population calculates its intrinsic growth rate, expressed as dN = (b - d)N, where 'r' is the intrinsic rate of increase.

When you subtract the death rate (D) from the birth rate (B) of a population, you calculate the intrinsic growth rate of the population. The birth rate is typically expressed on a per capita basis, shown as B = bN, where 'b' represents the per capita birth rate and 'N' is the number of individuals in the population. Similarly, the death rate is expressed as D = dN, where 'd' is the per capita death rate. To find the population growth rate at a specific point in time, differential calculus is used to obtain an instant-specific measurement:

dN = (b - d)N

This formula simplifies the relationship between the birth and death rates, where 'b - d' is substituted with 'r', representing the intrinsic rate of increase. Therefore, the correct answer to the student's question is D. the intrinsic growth rate.

Perform the operations, multiply, and simplify.-a^3b (3a^2 b^5 - ab^4 - 7a ^2
b.

Answers

I hope this helps you



3a^5.b^6-a^4.b^5-7a^5.b

for the parallelogram, if m<2+5x-28 abd m<4=3x-10, find m< 3. ...?

Answers

Final answer:

After finding the value of x by equating m<2 and m<4, we calculate m<4 and then use the property of supplementary angles in a parallelogram to find that m<3 is 163 degrees.

Explanation:

To solve for m<3 in the parallelogram with m<2 = 5x - 28 and m<4 = 3x - 10, we first find the value of x. Given that opposite angles in a parallelogram are equal (m<2 = m<4), we set the two equations equal to each other and solve for x:

5x - 28 = 3x - 10

5x - 3x = 18

2x = 18

x = 9

Now that we have the value of x, we can substitute it into the equation for either angle to find the measure of that angle. Since m<4 = 3x - 10:

m<4 = 3(9) - 10 = 27 - 10 = 17

In a parallelogram, adjacent angles are supplementary, meaning they add up to 180 degrees. Therefore, to find m<3, we subtract m<4 from 180 degrees:

m<3 = 180 - m<4

m<3 = 180 - 17 = 163

Thus, m<3 in the parallelogram is 163 degrees.

Final Answer:

The measure of angle 3 in the parallelogram is [tex]\( m\angle 3 = 2x - 18 \).[/tex]

Explanation:

In a parallelogram, opposite angles are equal. Therefore, we can set up an equation based on the given angle measures:

[tex]\[ m\angle 2 + m\angle 3 = 180^\circ \][/tex]

Substitute the given expressions for[tex]\( m\angle 2 \) and \( m\angle 4 \):[/tex]

[tex]\[ (2 + 5x - 28) + (3x - 10) = 180 \][/tex]

Combine like terms:

[tex]\[ 5x + 3x - 28 - 10 + 2 = 180 \][/tex]

[tex]\[ 8x - 36 = 180 \][/tex]

Add 36 to both sides:

[tex]\[ 8x = 216 \][/tex]

Divide by 8:

[tex]\[ x = 27 \][/tex]

Now that we have the value for x, substitute it into the expression for \( [tex]m\angle 3 \):[/tex]

[tex]\[ m\angle 3 = 2(27) - 18 \][/tex]

[tex]\[ m\angle 3 = 54 - 18 \][/tex]

[tex]\[ m\angle 3 = 36 \][/tex]

Therefore, the measure of angle 3 in the parallelogram is [tex]\( m\angle 3 = 36^\circ \).[/tex]

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