Normally 5:00 pm sometimes they run late though
If the rectangular field has notional sides
x
and
y
, then it has area:
A
(
x
)
=
x
y
[
=
6
⋅
10
6
sq ft
]
The length of fencing required, if
x
is the letter that was arbitrarily assigned to the side to which the dividing fence runs parallel, is:
L
(
x
)
=
3
x
+
2
y
It matters not that the farmer wishes to divide the area into 2 exact smaller areas.
Assuming the cost of the fencing is proportional to the length of fencing required, then:
C
(
x
)
=
α
L
(
x
)
To optimise cost, using the Lagrange Multiplier
λ
, with the area constraint :
∇
C
(
x
)
=
λ
∇
A
∇
L
(
x
)
=
μ
∇
A
⇒
μ
=
3
y
=
2
x
⇒
x
=
2
3
y
⇒
x
y
=
{
2
3
y
2
6
⋅
10
6
sq ft
∴
{
y
=
3
⋅
10
3
ft
x
=
2
⋅
10
3
ft
So the farmer minimises the cost by fencing-off in the ratio 2:3, either-way
Answer: $15,000
Explanation:
Comparable B is a 4 bedroom house with no swimming pool right.
Okay.
And we also know that a room adds $20,000 to the value of a house as well.
So if Comparable B was a 3 bedroom house instead of a 4 then what would it be?
= $280,000 - $20,000
= $260,000
The means that a house with no swimming pool such as Comparable B but with 3 bedrooms will be valued at $260,000.
But instead Comparable A has a 3 bedrooms yet is valued at $275,000 with the only apparent difference being a swimming pool. The pool therefore accounts for the difference which is,
= 275,000 - 260,000
= $15,000
This means that $15,000 is the value of the pool.
Answer:
Associated cost = 0.42x + 76
Revenue = $0.62x
Profit function = 0.20x - 76
Explanation:
Data provided in the question:
Fixed production costs = $76 per edition
Marginal printing and distribution costs = 42¢ per copy = $0.42
Selling cost = 62¢ per copy. = $0.62
Now,
Associated cost = mx + b
here,
m is the marginal cost
x is the number of copies
b is the fixed cost
Thus,
Associated cost = 0.42x + 76
Revenue = Selling cost × Number of copies
= $0.62x
Profit function = Revenue - Associated cost
= $0.62x - ( 0.42x + 76 )
= $0.62x - 0.42x - 76
= 0.20x - 76
Answer:
1. October 1
Dividends (Cr) 1950
Dividend Payable (Dt) 1950
2. October 15
No journal entry required
3. Record the payment of cash dividends
Dividend Payable (Cr) 1950
Cash (Dt) 1950
Explanation:
(<em>3,900 shares of common stock outstanding</em>) *(<em>declared $0.50 per share dividend</em>) = 1950
