Two chemical plants, one at Macon and one at Jonestown, produce two types of fertilizer, low phosphorus (LP) and high phosphorus (HP). At each plant, the fertilizer is produced in a single production run, so the two types are produced in fixed proportions. The Macon plant produces 1 ton of LP and 3 tons of HP in a single operation, and it charges $600 for what is produced in one operation, whereas one operation of the Jonestown plant produces 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation. If a customer needs at least 100 tons of LP and 180 tons of HP, how many production runs from each plant should be ordered to minimize the cost.

Answers

Answer 1

Answer:500

Step-by-step explanation:

Answer 2

There are 100 production runs from each plant should be ordered to minimize the cost.

What is Production?

The process of making or manufacturing goods and products from raw materials or components is called Production.

The Macon plant produce 1 ton of LP and 3 tons of HP in single operation, and it charge $600 for what is produced in one operation.

And, One operation of Jonestown plant produce 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation.

And, A customer needs at least 100 tons of LP and 180 tons of HP,

Now, A graph of the requirements shows the feasible region is bounded by a polygon with vertices (Macon and Jonestown) as,

= (0, 180), (40, 60), (100, 0).

Hence, By checking costs of these solutions, we find the lowest cost to be obtained when 100 production runs should be ordered from Macon.

So, There are 100 production runs from each plant should be ordered to minimize the cost.

Learn more about the production visit:

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Two Chemical Plants, One At Macon And One At Jonestown, Produce Two Types Of Fertilizer, Low Phosphorus

Related Questions

What is x equaled too

Answers

Answer:

8/15 or 8 over 15 should be the answer

The sides of a square garden are x? yards long. The area inside the garden is 49 square yards. What is the value of x?
Oa. 49 yards
Oc 77 yards
Ob. 7 yards
O d. 2 yards

Answers

Answer:

7 yards

Step-by-step explanation:

sqrt(49)=7

The value of the x is 7 yards. The correct option is b.

What is a square?

Square is a polygon which has 4 sides. All four sides of the square are equal length and perpendicular to each other, that means the angle between two adjacent side is 90°.

Given shape is a square.

And side of the square is x yards.

The area inside the garden is 49 square yards.

Area is the amount of area occupied by an object's flat (2-D) surface or shape.

So, the area of the square = (side x side)

Substituting the values,

49 = (x)²

x = 7

Therefore, the side is 7 yards.

To learn more about the square;

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Consider that AQRS is similar to ALMN and the measure of ZN is 42°. What is the measure of 2S?

A)
42°
B)
48°
56
D)
589

Answers

Answer:

A

Step-by-step explanation:

Among fatal plane crashes that occurred during the past 55 years, 347 were due to pilot error, 83 were due to other human error, 596 were due to weather, 374 were due mechanical problems, and 114 were due to sabotage. Construct the relative frequency distribution.

Required:
What is the most serious threat to aviation safety, and can anything be done about it?

Answers

Answer:

Pilot error = 347 / 1487 = 0.233 = 23.3%

Other human error = 83 / 1514 = 0.055 = 5.6%

Weather = 596 / 1487 = 0.401 = 40.1%

Mechanical problem = 374 / 1487 = 0.233 = 23.3%

Sabotage = 114 / 1487 = 0.077 = 7.7%

Step-by-step explanation:

Given the data :

Pilot error = 347

Other human error = 83

Weather = 596

Mechanical problem = 374

Sabotage = 114

Cummlative sum = (347 + 83 + 596 + 374 + 114) = 1487

Relative frequency :

Pilot error = 347 / 1487 = 0.233 = 23.3%

Other human error = 83 / 1514 = 0.055 = 5.6%

Weather = 596 / 1487 = 0.401 = 40.1%

Mechanical problem = 374 / 1487 = 0.233 = 23.3%

Sabotage = 114 / 1487 = 0.077 = 7.7%

Based on the relative frequency estimate, Weather is the most serious threat to aviation safety.

Deployment of more weather monitoring technologies

Amani is trying to find the value of the 4th coefficient in the 10th row of Pascal's Triangle. Which of the following could be the binomial that Amani is trying to expand?

Answers

Answer:

Step-by-step explanation:

all of the numbers in the nth row are coefficients in the expansion of (a+b)^n

Answer:

(2x+3)10!

Step-by-step explanation:

By stips please ........

Answers

Answer:

6x + 3h

Step-by-step explanation:

F(X) = 3x^2

F(X+h) = 3(X+h)^2

then F(X+h) - F(X) / h

= 3(X+h)^2 - 3x^2 / h

= 3(x^2 + 2hx + h^2) - 3x^2 / h

= 3x^2 + 6hx +3h^2 - 3x^2 / h

= 6hx + 3h^2 / h

= h (6x +3h) / h

= 6x + 3h

I hope this answer is correct

Find the slope of the line for the angle.
330 degrees

Answers

m= -1/3
How this helped!

What's slope Line
pass through( 14, 4)( 21, 6 )

Answers

Answer:

[tex]\displaystyle m=\frac{2}{7}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (14, 4)

Point (21, 6)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{6-4}{21-14}[/tex][Fraction] Subtract:                                                                                          [tex]\displaystyle m=\frac{2}{7}[/tex]

Need help with math who is up points and brainlest for you !!

Answers

X=8 because on the small right angle it says 3 so I don’t know if they have doubled it to make 6 on the other shape so that is my guess

Answer:

8ft

Step-by-step explanation:

Use similarity and congruence

AB/ED=AC/EF

3/6=4/X

CROSS MULTIPLICATION

3X=6*4

3X=24

X=8ft

I don’t know what to do please help

Answers

Answer:

f(2)=0

Step-by-step explanation:

You plug in 2 for any X's in the equation

f(2)=2^2-4

If f(x)=x^2-4 and x=2
Then f(2)=2^2-4.
= 4-4
=0
Don’t write this in answer just to explain:the value of x is 2 so in the eq
X^2-4 so we write 2 where the x is
= 2^2-4 ...now solve it as above

What impact did the American Revolution have on Haiti?
What impact did the Haitian Revolution have on the United States?
Please help

Answers

Answer:

What impact did the American Revolution have on Haiti? The American Revolution occurred first and in part inspired the Haitian and French Revolutions. ... The Haitian Revolution was the first and only slave uprising that led to the establishment of a free state without slavery and ruled by non-whites and former slaves.

What impact did the Haitian Revolution have on the United States?The Haitian Revolution had many international repercussions. It ended Napoleon's attempts to create a French empire in the Western Hemisphere and arguably caused France to decide to sell its North American holdings to the United States (the Louisiana Purchase)—thus enabling the expansion of slavery into that territory.

Step-by-step explanation:

BRAINLIST PLEASE!!

Given the equation: x + 8 = 32

True or False:

The equation can be solved using subtraction.



Group of answer choices

True

False

Answers

Answer:

true by subtract ing 8 we solve it.

Answer:

True

Step-by-step explanation:

x + 8 = 32

x + 8 - 8 = 32 - 8

x = 24

Multiply 154.18 and 5 together. Round to the nearest hundredth when necessary.

Answers

Answer:

that will be 725.10 im not sure

Answer:

The answer is 770.9 and cant be rounded to the nearest tenth.

Pls answer The Following Question

Answers

i) 4 7/9 ii) 4 1/4
i) 42/11 ii) 66/12

Answer:

15.

a)

i)43/9= 4 7/9

ii)17/4= 4 1/4

b)

i)3 9/11=  42/11 - 11 times 3=33, 33+9=42

ii)5 6/12= 66/12 - 12 times 6=60, 60+6=66

Convert the point-slope form to slope-intercept form. y - 5 = 3(x - 2)​

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

distribute on the right side of equation first

y - 5 = 3x - 6

now add 5 to each side

y = 3x - 1

Answer:

Step-by-step explanation:

y - 5 = 3x - 2

y = 3x + 3

In a lab experiment, 3400 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 8 hours. How long would it be, to the nearest tenth of an hour, until there are 13700 bacteria present?

Answers

Answer: 16.1

Step-by-step explanation:

HELPPP ITS QUESTION 17 BTW

Answers

Answer:

c

Step-by-step explanation:

Answer:

12n

Step-by-step explanation:

1) A cyclist travels a distance of 90 miles in 5 hours. What
was her average speed?
2) How far along a motorway would you travel if you drove at
70 mph for 4 hours?
3) I drive to Bude in Cornwall from Sheffield in about 6
hours. The distance from Sheffield to Bude is 315 miles.
What is my average speed?
4) The distance from Leeds to London is 210 miles. The train
travels at an average speed of 90 mph. If I catch the 9.30 am
train in London, at what time should I expect to arrive in
Leeds?
5) How long will an athlete take to run 2000 m at an average
speed of 4 metres per second?
6) The distance between Sheffield and Land’s End is 420
miles.
a) What is the average speed of a journey from Sheffield to
Land’s End that takes 8 hours 45 minutes?
b) If Sam covered the distance at an average speed of 63
mph, how long would it take him?

Answers

Answer:

Step-by-step explanation: Speed is distance an object travelled per unit time.

It is represented by letter v and can assume various units.

1) [tex]v=\frac{distance}{time}=\frac{d}{t}[/tex]

[tex]v=\frac{90}{5}[/tex]

v = 18 miles per hour

Her average speed is 18 mph.

2) Rearraging formula for distance:

d = v.t

d = 70 * 4

d = 280 miles

You would travel 280 miles.

3)  [tex]v=\frac{d}{t}[/tex]

[tex]v=\frac{315}{6}[/tex]

v = 52.5 mph

My average speed is 52.5 mph.

4) Rearranging formula to determine time:

[tex]t=\frac{d}{v}[/tex]

[tex]t=\frac{210}{90}[/tex]

t = 2.34 hours

It will take 2 hours and half to arrive in Leeds. So, we will be expected to arrive at 12:04.

5) The unit change but the way of calculating time is the same.

[tex]t=\frac{2000}{4}[/tex]

t = 500 s

or t = 8.34 minutes

It will take, for an athlete to run 2000m, 8.34 minutes.

6) a) All units must match, so for a speed in mph:

45 minutes is 0.75 hours. Total time is 8.75 hours.

[tex]v=\frac{420}{8.75}[/tex]

v = 560 mph

The average speed is 560 mph.

b) [tex]t=\frac{d}{v}[/tex]

[tex]t=\frac{420}{63}[/tex]

t = 6.67 hours

Sam will take 6.67 hours to covered the distance.

Plz help i need to do number 12 i need the area and perimeter make sure you round to the nearest whole number

Answers

Answer:

Area= 24 and perimeter equals 12

Step-by-step explanation:

Answer:

I think the perimeter is 18mm

Step-by-step explanation:

i assume that the curve is 6mm I take 6+6+2+2=18

i need help with finding slopes from graphs

Answers

Y=2+-4x

Step-by-step explanation:

Hope ot helps

A polling company is trying to estimate the percentage of adults that consider themselves happy. A confidence interval based on a sample size of 180 has a larger than desired margin of error. The company wants to conduct another poll and obtain another confidence interval of the same level but reduce the error to one-third the size of the original sample. How many adults should they now interview

Answers

Answer:

They should interview 1620 adults now.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this question:

z wont change, neither will [tex]\sigma[/tex]

We want to increase n as such the margin of error is reduced to one third.

We have that the margin of error is inversely proportional to the square root of the size of the sample, which means that for the margin of error to be reduced to one third, the sample size has to be multiplied by [tex]3^2 = 9[/tex]. So

180*9 = 1620

They should interview 1620 adults now.

Need help with math questions. :) Please help me answer them... I will give brainless

Answers

5.) red: slope is -2 and y-int is 1
Blue: slope is 1/2 and y-int is 3
Green: slope is -2/3 and y-int is -4

Answer:

7.)

a. y = -3x+3

b. y = 3x + 4

c. y = x + 3 (not sure about this one)

8.)

x = 63

y = 6

6.)

left an attachment (not sure about the growth triangle though)

5.)

Red Line - slope = -2

                 y-in = 1

Blue Line - slope = (1/2) or 0.5

                  y-in = 3

Green Line - slope = (-2/3) or 0.667

                    y-in = -4

Step-by-step explanation:

Sorry it took me so long

Find x for the trapezoid.
J
K
(2x+15).. (3x-20).
(x +15).
N4
M.

Answers

Answer:

50°

Step-by-step explanation:

All quadrilaterals' interior angles sum to 360°:

(x + 15)° + (2x + 15)° + (3x - 20)° + x° = 360°

x + 15 + 2x + 15 + 3x - 20 + x = 360

7x + 10 = 360

7x = 360 - 10

7x = 350

x = 50°

A book and a magazine cost 9.00. If a book costs 3$ more than a magazine , what is the cost of each

Answers

the book is $6 the magazine is $3

Plzzzzz help meeee


Which correctly lists three places that fresh water is found?
rivers, oceans, lakes
oceans, coastal wetlands, seas
ice sheets, water vapor, rivers
water vapor, streams, oceans

Answers

Answer:

ice sheets water vapor, and rivers

Step-by-step explanation:

vote brainiest if this helped

Answer:

c

Step-by-step explanation:

Find the equation of a line perpendicular to 3x−4y=6 that contains the point (2,−4).

Answers

Answer: y= -4x/3 - 4/3

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=3x4−32.

The slope of the perpendicular line is negative inverse: m=−43.

So, the equation of the perpendicular line is y=−4x3+a.

To find a, we use the fact that the line should pass through the given point: −4=(−43)⋅(2)+a.

Thus, a=−43.

Therefore, the equation of the line is y=−4x3−43.

Answer:

Step-by-step explanation:

y=mx+b

3x-4y=6

4y=3x-6

y=(3x-6)/4

So the slope, m, is 3/4

For lines to be perpendicular m1(m2)=-1, in this case

3m/4=-1

m=-4/3 so our line so far is

y=-4x/3+b, using point (2,-4) we can solve for the y intercept or b

-4=-4(2)/3+b

b=-4/3 so

y=(-4x-4)/3

A bicycle with 24-inch diameter wheels is traveling at 12 mi/h. Find the angular speed of the wheels in rad/min.

Answers

Answer:

1055.99 rad/min

Step-by-step explanation:

Given that,

The diameter of a bicycle, d = 24 inches

Radius, r = 12 inches

The bicycle is travelling at 12 mi/h.

We need to find the angular speed of the wheels in rad/min.

We know that,

1 mi/h = 0.0166667 mi/min

It means,

12 mi/h = 0.2 mi/min

Also,

12 inch = 0.000189394 miles

The angular speeds of the wheels is given by :

[tex]v=r\omega\\\\\omega=\dfrac{v}{r}\\\\\omega=\dfrac{0.2}{0.000189394}\\\\\omega=1055.99\ rad/min[/tex]

So, the angular speeds of the wheels is 1055.99 rad/min.

What is 9.52 rounded to the nearest tenth?
o 9.0
9.5
o 9.6
O 10.0
I need this fast

Answers

Answer:

9.5

Step-by-step explanation:

When rounding to the nearest tenth, check to see what the hundredths place value is.

If it is 0.05 or greater, we will round the tenths place up one.

If not, the tenths place will remain the same.

Since 9.52 has a hundredths place value of 0.02, we will keep the same tenths place value.

So, the correct answer is 9.5

Anyone 100% know dis answer

Answers

Answer:

Rotational symmetry

Step-by-step explanation:

The rectangle rotated 180 degrees to get the transformed rectangle.

Please help
Solve the equation.
2 x/-10=2/5

Answers

i belive 2x is -4 but if it’s wrong pls dont be mad
Answer: x=16

Step by step explanation: 2+ x/-10 = 2/5
⇔ -20 + x = -4
⇔x = 16

Hope this helps(:
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