WILL GIVE BRAINLIEST! Please help
Waterbrook Farm Includes 240 acres of cropland. The farm owner wishes to plant this
acreage in both corn and soybeans. The profit per acre in com production is $325 and
In soybeans is $180. A total of 320 hours of labor is available. Each acre of com
requires 2 hours of tabor, whereas each acre of soybeans requires 1 hour of labor.
Lot x = the number of acres planted with corn.
Let y = the number of acres planted with soybeans.
1) What would the farm's profits be if they planted only corn?
2) What would the farm's profits be if they planted only soybeans?
3) Find the equation for the Waterbrook Farm's profit (P = ),
4) Make a system of inequalities based off the constraints of the Farm.
5) In DESMOS. graph the system of inequalities
6) How should the land be divided between the corn and soybeans in order to yield
the mamum profit?
7) What is the maximum profit of planting both com and soybeans for the Farm?
Answers
Answer:
1) $52,000
2) $43,200
3) P = 325 × x + 180 × y
4) x + y ≤ 240
2·x + y ≤ 320
325 × x + 180 × y ≤ 52,000
5) Please find a similar graph created with MS Excel
6) Corn will have 80 acres
Soybean will have 160 acres
7) $54,800
Step-by-step explanation:
The acres of cropland at the Waterbrook Farm, A = 240 acres
The profit per acre in corn production, p₁ = $325
The profit per acre in soybean production, p₂ = $180
The hours of labor required by each acre of corn = 2 hours
The hours of labor required by each acre of soybeans = 1 hours
The number of acres planted with corn = x
The number of acres planted with soybeans = y
1) The farm's profit, 'P', if they planted only corn is P = p₁ × A
∴ P = $325/acre × 320 hours/(2 hours/acre) = $52,000
The farm's profit if they planted only corn, P = $52,000
2) The farm's profit, 'P', if they planted only corn is P = p₂ × A
The required labor for cultivating the 240 acres at 1 hour/acre = 240 hours of labor
Therefore, the labor is sufficient for the entire farmland, we get;
The profit, P = $180/acre × 240 acres = $43,200
∴ The farm's profit if they planted only soybeans, P = $43,200
3) The equation for the Waterbrook Farm's profit, 'P' can be found, depending on the area of the farm used for the corn and the soybeans as follows;
P = 325 × x + 180 × y
4) The system of inequalities includes;
x + y ≤ 240
2·x + y ≤ 320
325 × x + 180 × y ≤ 52,000
5) Using DESMOS, we have;
The graph of the systems of inequalities is plotted and a graph similar to the attached graph created with MS Excel is found
6) The maximum profit point found using DESMOS is (80, 160)
Therefore, for maximum profit, 80 acres should be used for corn while 160 acres should be used for soybeans
7) The maximum profit of planting both corn and soybeans is found from the profit obtained from the land divided between corn and soybeans in order to yield maximum profit as follows;
P = 325 × 80 + 180 × 160 = 54,800
The maximum profit of planting both corn and soybeans, P = $54,800.
Related Questions
PLS HELP ASAP 10 POINTS
Erika has a collection of 300 movies. 2/5 of these movies were made after 2010. 50% of the movies were made between 1990 and 2010. The rest were made before 1990.
How many movies of Erika's collection were made before 1990?
Answers
Answer:
30
Step-by-step explanation:
300 * 0.4= 120
300*0.5 = 150
150+120=270
300-270=30
What is the area?Please i need help
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Answer:
65
Step-by-step explanation:
Base by High
then divided by 2
find the area of the shape below
Answers
Answer:
235 cm²
Step-by-step explanation:
Find area of the large rectangle on the bottom. To do that, find its length and width, then multiply them together.
Length of big rectangle=20 cm
Width of big rectangle=9 cm
20x9=180 cm²
Next, find the area of the small rectangle on the top. To do that, find its length and width, then multiply them together.
Length of small rectangle=11 cm
Width of small rectangle=5 cm
I found the width by subtracting 9 from 14, since the 9 cm is part of the large rectangle.
11x5=55 cm²
Add the areas of the two rectangles.
55+180=235 cm²
Plz someone answer this for me asap !
Find the perimeter of each shape
Equation :
X:
Perimeter:
Answers
Answer:
The equation is;
4(2.5x-3) = 3(2x-2)
The value of x is 1.5
Step-by-step explanation:
Mathematically, the perimeter of a square is simply the product of the length of the side and 4
Secondly, the perimeter of an equilateral lateral triangle is the product of the length of its side and 3
Thus, mathematically, we have it that;
4(2.5x-3) = 3(2x-2)
10x - 12 = 6x -6
10x -6x = -6 + 12
4x = 6
x = 6/4
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Sarah is finding the surface area of a cube. Find the surface area of the cube with dimensions of 8 cm each
Answers
= 6x8x8
= 6x64
= 384 cm2
Hope this helps
Please mark brainliest
Answer:
384 cm^2
Step-by-step explanation:
A = 6a^2 (a = side length)
A = 6(8^2)
A = 6(64)
A = 384 cm^2
More explain stuff:
a^2 is what is used to find the area of a 2 dimensional square. You can also use a · a. Remember, a = side length. Since there are 6 sides/faces in a cube, you multiply the area of each face by 6. :D
1.) A person measures the angle of depression from the top of a wall to a point on
the ground. The point is located on level ground 62 feet from the base of the wall
and the angle of depression is 52°. How high is the wall, to the nearest tenth of a
foot?
Answers
We can use the tangent here
tan (52) = H / 62 where H is the wall height......rearrange as
H = 62 * tan(52) ≈ 79.4 ft.
According to the graphs below, which statement is true?
25
251
Number Preferred
Number Preferred
21
0
20
Brand A
Brand B
Brand A Brand B
Brand
Brand
2003 Gayriyon, no
The graph on the left is misleading
The graph on the right is misleading.
Both graphs show the information accurately.
Both graphs are misleading
Answers
Answer:
The graph on the right is misleading
Step-by-step explanation:
The brand preference is 21 to 25, which shows a slight advantage for Brand B. The graph on the right requires you to mindfully read the y axis to infer that - if you wouldn't, you'd think that Brand B dominates Brand A.
Answer:
The graph on the right is misleading.
Step-by-step explanation:
Half of the sum of 3x and 4
Answers
Answer:
1/2(3x+4)
or
1/2(3x)+2
Step-by-step explanation:
Help me please this awkward
Answers
Answer:
m<MLN =118°
Step-by-step explanation:
Because m<HIL and m<KLI are corresponding angles (equal)
and m<MLN am m<KLI are vertically opposite angles (equal)
You are given m =0.4n - 2/3
What is the value of m, when n is 15?
A.0 3.7
B.4.3
C.6.0
D.8.3
Answers
Answer:
m = 5.3
Step-by-step explanation:
Given equation,
→ m = 0.4n - (2/3)
Now we have to,
→ Find the required value of m.
We have to use,
→ n = 15
Then the value of m will be,
→ m = 0.4n - (2/3)
→ m = 0.4(15) - (2/3)
→ m = 6 - (2/3)
→ m = (18/3) - (2/3)
→ m = (18 - 2)/3
→ m = 16/3
→ [ m = 5.3 ]
Hence, the value of m is 5.3.
Please help I willgive brainliest
Answers
Answer:
first one is Given:
line segment AD bisects line segment BE
angle B ≅ angle E
Prove:
△ABC ≅ △DEC
See attachment for picture.
I need to do this using the statement versus reasons chart.
the second one is is 42 i will provide a screenshot with the answer
Answer:
I think the answer is C, but I not sure
I hope this answer can help you
Step-by-step explanation:
180-126-16＝38
[tex] \frac{180 - 38 - 16}{3} = 42[/tex]
DISCLAIMER.......................................................................................................................................................................................................................................................................... 5000 x 800
K imma make another account (you'll know due to my first question). Anywho, If you are my friend or if i helped feel free to go to my new account and friend me!!! (Also anywho take 100 points and buff shrek
Answers
Answer: wut the ham is this
I WILL GIVE BRAINLIEST!!!
The average number of subscribers to an online magazine each year from 2010 to 2015 is given in the table below.
Number of Years Since 2010 Avg. Number of Subscribers
0 320,000
1 384,000
2 460,800
3 552,960
4 663,552
5 769,262
The percent increase in the average number of subscribers each year since 2010 was ____%.
Answers
Answer:
the average number of subscribers to the online magazine in 2010 was 320,000
a small glass jar is filled with colorful marbles. Six are blue, eight are yellow, five are green, and eleven are red. Marbles are chosen randomly from the jar one at a time without replacement. What is the probability of choosing a yellow marble followed by a blue one?
Answers
Answer:
the probability of choosing a yellow marble is about 27%, while the probability of blue is 20%.
Step-by-step explanation:
6+8+5+11=30
8/30=0.266666666666
6/30=0.2
HELP?! this is due today.
Answers
Answer:second choice
Step-by-step explanation:they would match up
Haley substituted the values of a, b, and c into the quadratic formula below.
x = StartFraction negative (negative 10) plus or minus StartRoot (negative 10) squared minus 4 (7)(negative 2) EndRoot Over 2(7) EndFraction
What was Haley’s function in standard form?
f(x)=___x2+____x+____
Answers
Answer:
f(x) =
7
x2 +
-10
x +
-2
Step-by-step explanation:
Jasper's Pizzeria made 10 pizzas. 2 of the pizzas had pepperoni. What is the ratio of the number of pizzas without pepperoni to the number of pizzas with pepperoni?
Answers
Answer:
The ratio of pizzas with to without pepperoni is 8:2
Step-by-step explanation:
I hope this helps more than that person with the link!
can someone explain and tell me the answer plsss
Answers
Answer: it’s c
Step-by-step explanation: it’s c because you go five units down and then see how many units it is to reach the origin then go that amount of units up☺️I hope I could help!
Can you help me . Answer truthfully please I would really appreciate it.
Answers
Answer:
D must be the answer
Step-by-step explanation:
Charlie has 32 cats, which is 8 times as many cats as Waylon. How many cats does Waylon have?
Answers
Answer:
4 cats
Step-by-step explanation:
Since Charlie has 8 times as many cats as Waylon you should divide Charlie's number by 8. 32/8=4 so Waylon has 4 cats.
PLEASE HELP!! NO LINKS PLEASE!!
Answers
Answer:
try looking for it in the settings
Step-by-step explanation:
can that helps
the solution of a quadratic equation are 5 and -1. What is the factored form of a related quadratic fraction
A.f(x)=(x+5)(x-1)
B.f(x)=(x-5)(x+1)
C.f(x)(x-5)(x-1)
D.(x)=(x+5)(x+1)
Answers
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
A. f(x)=(x+5)(x-1)
My brain refuses to work because I can only think of Diagon Alley
Answers
Answer:
30 cm
Step-by-step explanation:
1. Given the length, width and tallness discover the volume, surface region and inclining of a rectangular crystal
h, l and w are known; discover V, S and d
V = lwh
S = 2(lw + lh + wh)
d = √(l2 + w2 + h2)
2. Given the surface region, length and width discover the tallness, volume and askew of a rectangular crystal
S, l and w are known; discover h, V and d
h = (S - 2lw)/(2l + 2w)
V = lwh
d = √(l2 + w2 + h2)
3. Given the volume, length and width discover the stature, surface territory, and slanting of a rectangular crystal
V, l and w are known; discover h, S and d
h = V/lw
S = 2(lw + lh + wh)
d = √(l2 + w2 + h2)
4. Given the inclining, length and width discover the tallness, volume and surface space of a rectangular crystal
d, l and w are known; discover h, V and S
h = √(d2 - l2 - w2)
V = lwh
S = 2(lw + lh + wh)
what is the answer to 4x+7=-2+4x
Answers
0=(-9)
Step-by-step explanation:
4x + 7 = -2 + 4x
4x + 7 = 4x -2
subtract 7 from both sides of the equation.
simplify your answer.
subtract 4x from both sides of the equation.
simplify your answer again.
4x + 7 = 4x -2
___-7 = 4x -7
4x __ = 4x -9
__4x = 4x -9
-4x = -4x -9
__0 = -9
the input is a contradiction: it has no solutions.
What is the product of 4 1/3 times 3 1/3?
12
12 2/3
12 7/9
14 4/9
Answers
Answer:
Hello! Your answer would be D) 14 4/9
Step-by-step explanation:
Hope I helped! Brainiest plz!♥
Have a nice morning! -Abby
Answer:
It is D
Step-by-step explanation:
For a rectangle with length of
3x + 4 and perimeter of 10x + 18,
what is the width of the
rectangle? Reminder, there are
two lengths and two widths in a
rectangle
Answers
Answer:
2x+5
Step-by-step explanation:
Formula for the perimeter of a reactangle= 2(l+b)
So,
2(l+b) = 10x+18
2(3x+4 + b) = 10x+18
Rearrange and solve
3x+4+b = 5x+9
b = 5x+9 - 3x - 4
b = 2x+5
Thus the measurement of the width = 2x+5
Hope this helps
Please helpp ASAP
Extra 100 point and brainleist
Answers
Answer:
Ive done those before the first one is 7 and the second one is 4
Step-by-step explanation:
Omealio received a grade of 80 on Exam 1. If his grade in Exam 2 was 15% higher, what was his grade in Exam 2? Please help
Answers
Answer:
well if the max grade he could get was 100 then you need to find 15% of 100 which is 15, after that add 15 to 80 and you get 95.
his grade for exam 2 was 95
Step-by-step explanation:
15% of 100 = 15
80 + 15 = 95
Answer:
92
Step-by-step explanation:
15 percent of 80 is 12 percent
80 + 12 = 92
Kathy dropped a snowball from a building that is 39.2 meters tall. The equation t2 = 39.29.8 represents the amount of time, in seconds, it takes for the snowball to reach the ground. How long did it take the snowball to reach the ground?
Answers
Answer:
We note that the equation that is compatible with the given equation is the kinematic equation of free fall where;
t² = 39.2 × 2/9.81
From which we have;
The time it takes the snowball to reach the ground is approximately 2.83 seconds
Step-by-step explanation:
The height of the building from which the ball is dropped, h = 39.2 m
The equation of the dropped a snowball, is given as follows;
t² = 39.2 × 9.8
Using the From the equation of free fall, we have;
s = u·t + 1/2·g·t²
Where;
u = The initial velocity = 0 m/s
t = The time of flight
g = The acceleration due to gravity = 9.81 m/s²
Therefore, we get;
∴ s = The height from which the snowball is dropped = 39.2 m
Therefore, we get;
39.2 = 0×t + 1/2×9.81×t²
∴ t² = 39.2 × 2/9.81 ≈ 7.99
t = √(7.99) ≈ 2.83
The time it takes the snowball to reach the ground, t ≈ 2.83 s.
Answer:
2 seconds
Explanation:
I had to do this assignment that's the correct answer
Click on a factor pair of 12
Answers
Answer:
Step-by-step explanation:
x 12 = 12.
x 6 = 12.
x 4 = 12.
x 3 = 12.