Im pretty sure it’s B because it tells your the area which is 40 and the length which is 4. I don’t know how to explain it but hopefully it kinda of helped and it’s right.
Answer:
€120
Step-by-step explanation:
Let us represent
Ann = x
Brian = y
Carol = z
€400 is divided between Ann, Brian and Carol
Hence: x + y + z = €400...... Equation 1
Ann has twice as much as Brian
Hence:
x = 2y
Brian has three times as much as Carol.
y = 3z
z = y/3
We substitute
x + y + z = €400...... Equation 1
2y + y + y/3= €400
Multiply both sides by 3
2y × 3 + y × 3 + y/3 × 3 = €400 × 3
6y + 3y + y = €1200
10y = €1200
y = €1200/10
y = €120
How much does Brian receives ?
Since, Brian = y
Brian receives €120
The area of the garden enclosed by the fencing is
A(x, y) = xy
and is constrained by its perimeter,
P = x + 2y = 200
Solve for x in the constraint equation:
x = 200 - 2y
Substitute this into the area function to get a function of one variable:
A(200 - 2y, y) = A(y) = 200y - 2y²
Differentiate A with respect to y :
dA/dy = 200 - 4y
Find the critical points of A :
200 - 4y = 0 ⇒ 4y = 200 ⇒ y = 50
Compute the second derivative of A:
d²A/dy² = -4 < 0
Since the second derivative is always negative, the critical point is a local maximum.
If y = 50, then x = 200 - 2•50 = 100. So the farmer can maximize the garden area by building a (100 ft) × (50 ft) fence.
Answer:
sure
Step-by-step explanation:
love to
