Answer:
Check the explanation
Explanation:
Let 'X' be a random variable representing the demand and it is given that X ~ N(50, 20)
According to this problem, we have to just find the value X=x when the probability that the random variable 'X' takes a value less than or equal to 'x' is 97.5%. Mathematically,
P(X ≤ x) = 0.975
x = ?
We will transform this in the form of standard normal variable Z when Z = (X-50) / 20) and Z ~ N(0, 1)
P(\frac{X-50}{20}\leq \frac{x-50}{20}) = 0.975
or,
P(Z\leq \frac{x-50}{20}) = 0.975
We consult the standard normal table to get the corresponding value of Z for P=0.975 and get Z = 1.96
So, (x - 50) / 20 = 1.96
i.e. x = 89.2
So, Delicious Frosting should prepare 90 cakes in order to meet the service level of 97.5%.
<u><em>N.B: The value of 'x' can also be found easily by using the Excel formula =NORM.INV(0.975, 50, 20)</em></u>
Incomplete question. However, it would be inferred you want to know the requirements to calculate net income.
<u><em>Explanation</em></u>:
Remember, net income is total revenue minus total cost. Since Apple anticipates selling 100,000 units, if we assume the fixed cost to be $2,400 and the variable cost $34, and selling price unit is $150.
- Total cost= 2400+ (34*100,000)= 3,400,000
- Total Revenue= 150*100,000= $15,000,000
- Net income= 15,000,000-3,400,000= $11,600,000
The Net income is therefore $11,600,000.
Answer:
$6450
Explanation:
Given that
Monthly gross income = 3500
Monthly operating expenses = 1100
Tax rate = 25%
Annual cost recovery expenses = 3000
Recall that, taxable income is income less expenses.
Therefore,
Annual gross income = 3500 × 12
= 42000
Annual operating expense = 1100 × 12
= 13200
Thus,
Taxable income = 42000 - 13200 - 3000
= 25800
Tax liability = tax rate × taxable income
= 0.25 × 25800
= $6450
Answer:
5341288
Explanation:
Data provided in the question:
Volume of the living quarters = 213 cubic feet
Now,
The dimensions of the US dollar bills are
width = 2.61 inches
Length = 6.14 inches
Thickness = 0.0043 inches
Thus,
Volume of a single dollar bill = 2.61 × 6.14 × 0.0043
= 0.06890922 cubic inches
Also,
Volume of quarter in cubic inches = 213 × 12³
[ ∵ 1 ft = 12 inches ; 1 ft³ = 12³ cubic inches]
Thus,
Volume of quarter in cubic inches = 368064 cubic inches.
Thus,
Number of dollar bills that can fit in there
= [ Volume of quarter in cubic inches ] ÷ Volume of a single dollar bill
= 368064 ÷ 0.06890922
= 5341288.15 ≈ 5341288
Answer:
a. 19,048
b. 2.1
c. $21
d. Before $2
After $2.1
e. Explanation of tax implication is below
Explanation:
a. Number of shares = Dividend per share × Number of shares outstanding ÷ cost per share
= 1 × 400,000 ÷ $21
= 19,048
b. Earning per share after repurchase = earnings ÷ (shares before-shares outstanding)
= $800,000 ÷ (400,000-19,048)
= 2.1
c. Market Price = Earning per share Price × Earning
= 2.1 × 10
= $21
d. Earning per share before = Earnings ÷ Before shares
= $800,000 ÷ 400,000
= $2
Earning per share after repurchase = $2.1
After share repurchase the earning per share has increased.
e) Price increased 21 dollars in share repurchased. The price remain constant in dividend payout the amount but additional 1 dollar in dividend the investors gains. If dividend is lesser than tax on capital gain then it will become drawback over collect dividend and vice versa.
