Answer:
predetermined overhead rate: 14.51 dollars per labor hour
applied overhead at 18,500 hours: 268,435 dollars
Explanation:
we distribute the expected overhead over the cost dirver. In this case direct labor hour:
cost driver: labor hours:
labor cost: 231,322 / 12.71 labor rate = 18,200 labor hours
<u>expected overhead:</u>
depreciaiton 53,500
supervisor 135,000
supplies 42,900
property tax 32,750
total overhead 264,150
overhead rate: 264,150 / 18,200 = 14,51373626373626 = 14.51/hr.
applied: 18,500 x 14.51 = 268.435
Po = 0.5385, Lq = 0.0593 boats, Wq = 0.5930 minutes, W = 6.5930 minutes.
<u>Explanation:</u>
The problem is that of Multiple-server Queuing Model.
Number of servers, M = 2.
Arrival rate, 
= 6 boats per hour.
Service rate, 
= 10 boats per hour.
Probability of zero boats in the system,![\mathrm{PO}=1 /\{[(1 / 0 !) \times(6 / 10) 0+(1 / 1 !) \times(6 / 10) 1]+[(6 / 10) 2 /(2 ! \times(1-(6 /(2 \times 10)))]\}](https://tex.z-dn.net/?f=%5Cmathrm%7BPO%7D%3D1%20%2F%5C%7B%5B%281%20%2F%200%20%21%29%20%5Ctimes%286%20%2F%2010%29%200%2B%281%20%2F%201%20%21%29%20%5Ctimes%286%20%2F%2010%29%201%5D%2B%5B%286%20%2F%2010%29%202%20%2F%282%20%21%20%5Ctimes%281-%286%20%2F%282%20%5Ctimes%2010%29%29%29%5D%5C%7D)
= 0.5385
<u>Average number of boats waiting in line for service:</u>
Lq =![[\lambda.\mu.( \lambda / \mu )M / {(M – 1)! (M. \mu – \lambda )2}] x P0](https://tex.z-dn.net/?f=%5B%5Clambda.%5Cmu.%28%20%5Clambda%20%2F%20%5Cmu%20%29M%20%2F%20%7B%28M%20%E2%80%93%201%29%21%20%28M.%20%5Cmu%20%E2%80%93%20%5Clambda%20%292%7D%5D%20x%20P0)
= ![[\{6 \times 10 \times(6 / 10) 2\} /\{(2-1) ! \times((2 \times 10)-6) 2\}] \times 0.5385](https://tex.z-dn.net/?f=%5B%5C%7B6%20%5Ctimes%2010%20%5Ctimes%286%20%2F%2010%29%202%5C%7D%20%2F%5C%7B%282-1%29%20%21%20%5Ctimes%28%282%20%5Ctimes%2010%29-6%29%202%5C%7D%5D%20%5Ctimes%200.5385)
= 0.0593 boats.
The average time a boat will spend waiting for service, Wq = 0.0593 divide by 6 = 0.009883 hours = 0.5930 minutes.
The average time a boat will spend at the dock, W = 0.009883 plus (1 divide 10) = 0.109883 hours = 6.5930 minutes.
Answer: The options are given below:
A. $18.00
B. $1,036.80
C. $2.00
D. $7.20
E. $64.00
The correct option is D. $7.20
Explanation:
From the question above, we were given:
Annual demand = 100,000 units
Production = 4 hour cycle
d = 400 per day (250 days per year)
p = 4000 units per day
H = $40 per unit per year
Q = 200
We will be using the EPQ or Q formula to calculate the cost setup, thus:
Q = √(2Ds/H) . √(p/(p-d)
200=√(2x400x250s/40 . √(4000/(4000-400)
200=√5,000s . √1.11
By squaring both sides, we have:
40,000=5,550s
s=40,000/5,550
s=7.20
Answer:
a. October 4th
b. November 15th 2019
c. November 14th 2019.
d. December 13th, 2019 (Note: This is assumed based on the explanation below as it is not specifically stated in the question).
Explanation:
a. What date is the declaration date?
The declaration date is the date the announcement to pay the next dividend is made by the board of directors of a company. In this case, the declaration date is October 4th, 2019.
b. What date is the holder of record date?
The holder of record date refers to the cut-off date set by a company to ascertain the eligible shareholders that will receive the next dividend payment. In this case, the holder of record date is November 15th 2019.
c. What date is the ex-dividend date?
The ex-dividend date refers to date that a seller of stock is still eligible to receive dividend despite that the stock has already been sold to a by him. This is because it is the person that hold the security on the ex dividend date that will receive the dividend payment not the holder on the payment date. Generally, ex-dividend date is usually one business day before the record date. In this case,he ex-dividend date is November 14th 2019.
d. What date is the payment date?
The payment date refers to the actual day that eligible shareholders are paid the declared dividend by the company. It is usually a few weeks or month after the ex-dividend date. If we assumed to be a month, the payment date would be December 13th, 2019.
Answer:
agriculture
Explanation:
because they study plants/geology
