The amount of increase or decrease in cost that is expected from a particular course of action as compared with an alternative i
1 answer:
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Answer:
The lump sum amount to be deposited should be $27,020.67
Explanation:
Data provided in the question:
Future value = $60,000
Time, t = 10 years
Interest rate, r = 8% = 0.08
Compounded monthly i.e number of periods n = 12
Now,
Future value = Amount deposited ×
Therefore,
on substituting the respective values, we get
$60,000 = Amount deposited ×
or
$60,000 = Amount deposited × ( 1.00667 )¹²⁰
or
$60,000 = Amount deposited × 2.220522
or
Amount deposited = $60,000 ÷ 2.220522
or
Amount deposited = $27,020.67
Hence,
The lump sum amount to be deposited should be $27,020.67
Answer:
a) 1.66 minutes
b) 3.4 out of million deliveries
Explanation:
So, it is a six sigma quality question, we first need to understand little bit about six sigma and how it is to achieve six sigma level.
<u>Six Sigma:</u>
It is the process or technique used by many organizations through out the world to achieve maximum quality in a product or in a service they are providing. It helps to indicate root causes of the process or you can say waste steps which first need to be identified then rectified to bring that top-notch quality in the system. So in this case, in order to calculate part a) we will calculate six sigma control limits.
a) So, for six sigma control limits, the maximum allowable standard deviation is 12 or you can say +6 + (-6) = ±6 = 12. It means all deviations must lie in all 12 standard deviations.
<em>Please refer to the table shown in the attachment.</em> This bell curve represent six sigma concept. In this <em>3 sigma quality level means all deviations must lie in 6 standard deviations.</em>
So, here we have been given that mean = 20, so with mean we can calculate standard deviation in six sigma control limits.
Maximum Allowable Standard Deviation for 6 sigma = Mean/12
= 20/12
= 1.66
So, 1.66 is the maximum allowable standard deviation of arrival times required in order to achieve 6 sigma quality level.
b) In this part, we are asked that, out of million deliveries about how many times bus deliver students too early or too late at this 6 sigma quality level.
<em>For this answer, please refer to attachment again</em>. and notice at the left bottom with the arrow of 6 sigma, we have a number 3.4 ppm means 3.4 part per million.
<em>So, it 3.4 times in a million deliveries bus will deliver students either too early or too late. </em>
