Answer:
Below is the solution to the given problem
Explanation:
a. What is the average number of customers waiting?
With one barber and exponential service, this system fits Model 1 in the text. λ = 3.000 per hour (given), μ= 60/17 = 3.529 per hour.
You are looking for Lq here.
Lq = λ
/ μ(μ – λ) = 
/3.529 (3.529 – 3.000) = = 4.82 customers
b. What is the average time a customer waits?
Wq = Lq/λ = 4.82/3.00 = 1.607 hours = 96.40 minutes
c. What is the average time a customer is in the shop?
You are looking for Ws here, and need to calculate Ls first.
Ls = λ / μ(μ – λ) = 3.00/3.529 – 3.000= 5.671
Ws = Ls/λ = 5.671/3.00 = 1.890 hours = 113.4 minutes
d. What is the average utilization of Benny's time?
ρ = λ/μ = 3.00/3.529 = 0.85 = 85.0%
Answer:
Betsy should simply tell the truth: that the boat was actually inspected by two mechanics, but not only it was not repaired, but both mechanics had a very different diagnosis about what was wrong with the boat.
She should also warn the buyer that the boat likely needs at least a new fuel pump, and in case the diagnostic of the first mechanic (Gail) is true, the boat then would likely need an expensive repair.
Answer:
$199,576,970,307.56
Explanation:
Given:
Price paid for the island = $24
Annual interest rate, r = 6%
Duration, n = 392 years
Now,
Future value is given as:
Future value = Present value × ( 1 + r )ⁿ
on substituting the respective values, we get
Future value = $24 × ( 1 + 0.06 )³⁹²
or
Future value = $24 × 8315707096.148
or
Future value = $199,576,970,307.56
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:
The dimensions for the entire area will give the cheapest cost for the entire fence are 40 feet in front, 100 feet on each side, and 40 feet on bottom.
Explanation:
Since Mrs. Jones always wanted a white picket fence in front of her house, and Mr. Jones, her husband, wants a fence around the entire house including a decently-sized lawn in the front and a garden in the back, and the fence border should look like a rectangle, and I have calculated that he would need to fence off an area of 4,000 square feet in order to fit all these things, and he wants to appease his wife and at least build the white picket fence in front of the house, and he plans to build the rest of the fence with chain link, a cheaper material, given that a white picket fence costs $ 7 per foot and a chain link fence costs $ 4 per foot, to determine what dimensions for the entire area will give the cheapest cost for the entire fence, the following calculation should be performed:
Area of a rectangle = base times height = Z x Y = 4,000
80 x 50 = 4,000
40 x 100 = 4,000
20 x 200 = 4,000
20 x 7 x 2 + 200 x 4 x 2 = X = 280 + 1600 = 1880
40 x 7 x 2 + 100 x 4 x 2 = X = 560 + 800 = 1360
80 x 7 x 2 + 50 x 4 x 2 = X = 1120 + 400 = 1520
Therefore, the dimensions for the entire area will give the cheapest cost for the entire fence are 40 feet in front, 100 feet on each side, and 40 feet on bottom.
