longer side yd
What is this area?
yd2
Answer:
Shorter side = 755 yd
longer side = 1510 yd
A(max) = 1140050 yd²
Step-by-step explanation:
The owner has 3020 yd of fencing
Lets assume:
x the shorter side of the rectangle ( we will use fencing in two sides of length x )
y the longer one
A area of the rectangle and P the perimeter of the rectangle ( we have only three sides covered by fencing material)
We have: A = x * y P = 2 * x + y ⇒ y = P - 2*x ⇒ y = 3020 - 2* x
A (x) = x * ( 3020 - 2*x) ⇒ A(x) = 3020 * x - 2* x²
Taken derivative
A´(x) = 3020 - 4 * x
If A´(x) = 0 3020 -4*x = 0 ⇒4*x = 3020 x = 755 yd
If we take second derivative A´´(x) = -4
so A´´(x) < 0 so there is a maximun in point x = 755
Then
Rectangle dimensions :
x = 755 yd ⇒ y = 3020 - 2 * x ⇒ y = 3020 - 2 * (755) y = 1510 yd
Maximum area is : A(max) = 1510 * 755 ⇒ A(max) = 1140050 yd²
To get the largest area, 3020 yards of fencing is divided equally to form a rectangular grazing piece. Each side is 1510 yards, leading to a total area of 2,280,100 square yards.
We are given a total of 3020 yards of fencing which is used to fence two sides of a rectangle, with a river enclosing the third side. The largest area of a rectangle is obtained when the rectangle is a square. However, since one of the sides is the river, and hence not fenced, the rectangle is not square but should be as close to a square as possible to give the maximum area.
The optimum distribution is dividing the fence into two equal parts for both sides of the rectangle, so each side will be 3020 / 2 = 1510 yds. The dimensions of the largest area he can enclose are: shorter side = yd, longer side = 1510 yds.
The area of this rectangular grazing land would then be 1510 yd * 1510 yd = 2,280,100 yd2.
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(millions of pounds) (millions of pounds)
$0.80 107 63 0
.90 104 71
1.00 101 79
1.10 98 87
1.20 95 95
1.30 92 103
1.40 89 111
1.50 86 119
1.60 83 127
1.70 80 135
1.80 77 143
a. In the butter market, the monthly equilibrium quantity is million pounds and the equilibrium price is $ per pound.
b. What is the monthly surplus created in the wholesale butter market due to the price support (price floor) program? 22 million pounds 79 million pounds Zero 11 million pounds Suppose that a decrease in the cost of feeding cows shifts the supply schedule to the right by 40 million pounds at every price.
Answer:
a. In the butter market, the monthly equilibrium quantity is 95 million pounds and the equilibrium price is $1.2 per pound.
b. The correct option is zero.
c. See the attached excel file for the new supply schedule.
d. The monthly surplus created by the price support program is 18 million pounds given the new supply of butter.
Step-by-step explanation:
Note: This question is not complete. A complete question is therefore provided in the attached Microsoft word file.
a. In the butter market, the monthly equilibrium quantity is million pounds and the equilibrium price is $ per pound.
At equilibrium, quantity demanded must be equal with the quantity supplied.
In this question, equilibrium occurs at the price of $1.20 per pound and quantity of 95 million pounds.
Therefore, in the butter market, the monthly equilibrium quantity is 95 million pounds and the equilibrium price is $1.2 per pound.
b. What is the monthly surplus created in the wholesale butter market due to the price support (price floor) program?
Price floor refers to a government price control on the lowest price that can be charged for a commodity.
It should be noted that for a price floor to be binding, it has to be fixed above the equilibrium price.
Since the price floor of $1 per pound is lower than the equilibrium price of $1.2 per pound, the price floor will therefore not be binding. As a result, the market will still be at the equilibrium point and the monthly surplus created in the wholesale butter market due to the price support (price floor) program will be zero.
Therefore, the correct option is zero.
c. Fill in the new supply schedule given the change in the cost of feeding cows.
Since a decrease in the cost of feeding cows shifts the supply schedule to the right by 40 million pounds at every price, this implies that there will be an increase in supply by 40 million at each price.
Note: Find attached the excel file for the new supply schedule.
d. Given the new supply of butter, what is the monthly surplus of butter created by the price support program?
Since the price floor has been fixed at $1 per pound by the price support program, we can observe that the quantity demanded is 101 million pounds and quantity supplied is 119 million pounds at this price floor of $1. The surplus created is then the difference between the quantity demanded and quantity supplied as follows:
Surplus created = Quantity supplied - Quantity demanded = 119 - 101 = 18 million pounds
Therefore, the monthly surplus created by the price support program is 18 million pounds given the new supply of butter.
In the wholesale butter market, the equilibrium quantity is 95 million pounds and price is $1.20 a pound. The monthly surplus with price support is -22 million pounds showing a shortage. The decrease in cost of feeding cows shifts the supply to right, creating a potential surplus.
The equilibrium quantity and price in the wholesale butter market are determined by where the quantity demanded equals the quantity supplied. From the given schedule, we can see that this occur when the price is $1.20 per pound and the quantity is 95 million pounds.
The monthly surplus created due to the price support is calculated by subtracting the quantity demanded from the quantity supplied at the price floor of $1.00. This gives us a surplus of 79 million pounds - 101 million pounds = -22 million pounds, indicating a shortage rather than a surplus.
If the cost of feeding cows decreases, shifting the supply schedule to the right by 40 million pounds, the new equilibrium will need to be found again where quantity demanded equals quantity supplied. This shift would increase the quantity supplied at every price point, resulting in a potential surplus if demand conditions remain unchanged.
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their present age-
Answer:
4 and 9
Step-by-step explanation:
let their ages be x and x - 5, then in 4 years their ages will be
x + 4 and x - 5 + 4 = x - 1 , and the product is 104, thus
(x + 4)(x - 1) = 104 ← expand factors on left using FOIL
x² + 3x - 4 = 104 ( subtract 104 from both sides )
x² + 3x - 108 = 0 ← in standard form
(x + 12)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 12 = 0 ⇒ x = - 12
x - 9 = 0 ⇒ x = 9
However, x > 0 ⇒ x = 9
Thus
Their present ages are 9 and 9 - 5 = 4
What is the x-intercept of f'(x)?
10
o loo)
0 (0)
• (230)
Answer:
it willbe 10 make it like an equation
Answer:
Question 1
Blank 1: 24m
Blank2: 42n
Question 2
Blank 1
164,340
Answer:
1rst Blank: 24 m
second blank :42
question 2 , Blank 1 : 164 , 340
I hope this helps!
Answer:
100
Step-by-step explanation:
g(x)=5x^2+4x−5
Let x = -5
g(x)=5 ( -5)^2+4(-5)−5
= 5*25 - 20 -5
=125 - 25
= 100