Complete Question:
You are considering the purchase of a new machine to help produce a new product line being introduced. The machine is expected to have a setup time of 10 minutes per batch and a processing time of 2 minutes per part. You plan to have batch sizes of 50 parts. The plant operates 8 hours per day.
What is the capacity of the machine in batches per day?
Answer:
The capacity of the machine in batches = 4 batches per day.
Explanation:
a) Data and Calculations:
Set up time per batch = 10 minutes
Processing time per part = 2 minutes
Batch sizes = 50 parts
Plant operation = 8 hours per day
b) Capacity in batches per day:
Total batch time = 10 + 50 * 2 = 110 minutes
Total minutes of operation per day = 8 * 60 = 480 minutes
Capacity in batches = 480/110 = 4.36 or approximately 4 batches
c) Each batch produces 50 parts with each part taking some 2 minutes and an additional batch setup time of 10 minutes, giving a total of 110 minutes per batch. Since there are some 480 (8 * 60) minutes available per day, it means that the entity can only run about 4 batches (480/110) per day. These 4 batches will consume a total of 440 minutes (110 x 4), leaving some 40 minutes as unutilized time.
C. John Jacob Astor.
The American business that had a monopoly on the fur trade in the far west was founded by John Jacob Astor.
The business was called American Fur Company. Since it was founded, the company grew to monopolize the fur trade in the United States by 1830. It became one of the largest and wealthiest businesses in the United States.
Answer:
The correct answer for future value if first payment occur today is $449,645.24 and if first payment occur at the end of year is $408,761.13.
Explanation:
According to the scenario, the given data are as follows:
Payment (pmt) = $7,990
Rate of interest (r) = 10%
Time (n) = 19 years
So, we can calculate the future value by using following formula:
Future Value ( if payment occurs today) :
FV = Pmt (((1+r)^n - 1) ÷ r) x (1+r)
By putting the value:
= $7,990 ((( 1+ 0.10)^19 -1) ÷ .10) × ( 1 + 0.10)
= $7,990 ( 51.16) × ( 1.10)
= $449,645.24
Future Value ( if payment occurs at the end of year):
FV = Pmt x ((1+r)^n -1)) ÷ r)
= $7,990 ((1 + 0.10)^19 -1) ÷ 0.10)
= $7,990 × 51.16
= $408,761.13
