<span>P= -1000,000 +5000q - 0.25q2
q= 30n + 0.01n2
n = 20
substituting for q in P
P= -100,000 + 5000(30n+0.01n^2) - 0.25(30n+0.01n^2)
dp/dn = 5000*30+2*0.01*5000 - 0.25*2(30n+0.001n^2)+30+2*0.01n
dp/dn = 0.005n^2 +85.02n+150030
substituting for n=20 and solving
dp/dn = 151,732</span>
<u>Calculation of margin of safety in sales dollars:</u>
We are given that Em sales had $2,200,000 in sales last month and the contribution margin ratio was 30% and operating profits were $180,000.
We can calculate fixed cost with the help of following formula:
Fixed Costs =( Sales * contribution margin ratio) - operating profits
= (2200000*30%)-180000
= $ 480,000
Now we can calculate Breakevens Dollar Sales as follows:
Breakevens Dollar Sales = Fixed Cost / Contribution Margin %
= 480,000/30%
= $1,600,000
Finally, we can calculate the margin of safety in sales dollars as follows:
The margin of safety in sales dollars = Actual Sales – Breakevens sales
= 2200000-1600000
=$600,000
Hence, Margin of safety in sales dollars is <u>$600,000</u>
Answer:
$78.06
Explanation:
For computing the monthly payment we need to apply the PMT formula i.e. to be shown in the attachment below:
Given that,
Present value = $1,650
Future value or Face value = $0
RATE = 12.5% ÷ 12 = 1.0416%
NPER = 24 months
The formula is shown below:
= PMT(RATE;NPER;-PV;FV;type)
The present value come in negative
So, after applying the above formula, the monthly payment is $78.06
Answer:
geometric mean return = 1.2%
arithmetic mean return = 1.21%
Explanation:
Year Price Dividend Yearly return
1 $43.37 - 0
2 $48.35 $0.60 1.24%
3 $57.27 $0.63 1.1%
4 $45.35 $0.80 1.76%
5 $52.27 $0.85 1.63%
6 $61.35 $0.93 1.52%
geometric mean return = [(1 + 0) x (1 + 0.0124) x (1 + 0.011) x (1 + 0.0176) x (1 + 0.0163) x (1 + 0.0152)]¹/⁶ - 1 = 1.012 - 1 = 0.012 = 1.2%
arithmetic mean return = (0% + 1.24% + 1.1% + 1.76% + 1.63% + 1.52%) / 6 = 7.25% / 6 = 1.21%
Answer:
There are many things that a company can do to institutionalise learning and knowledge. Some of them doesn't even cost much and take a lot of time to be implemented.
Empowerment of individual employees. Giving them more autonomy in the job and the capacity to work freely with the peers.
Making teams rather than working individually. Team spirit is essential in the learning process and to promote sharing.
Conducting internal development and training programs on a regular basis.
Using social media platforms to connect the employees so that they are able to share their knowledge, expertise on a real-time basis.
Reducing the power gap between the employees and their superiors.
Explanation: