Answer:
A) R(x) = 120x - 0.5x^2
B) P(x) = - 0.75x^2 + 120x - 2500
C) 80
D) 2300
E) 80
Explanation:
Given the following :
Price of suit 'x' :
p = 120 - 0.5x
Cost of producing 'x' suits :
C(x)=2500 + 0.25 x^2
A) calculate total revenue 'R(x)'
Total Revenue = price × total quantity sold, If total quantity sold = 'x'
R(x) = (120 - 0.5x) * x
R(x) = 120x - 0.5x^2
B) Total profit, 'p(x)'
Profit = Total revenue - Cost of production
P(x) = R(x) - C(x)
P(x) = (120x - 0.5x^2) - (2500 + 0.25x^2)
P(x) = 120x - 0.5x^2 - 2500 - 0.25x^2
P(x) = - 0.5x^2 - 0.25x^2 + 120x - 2500
P(x) = - 0.75x^2 + 120x - 2500
C) To maximize profit
Find the marginal profit 'p' (x)'
First derivative of p(x)
d/dx (p(x)) = - 2(0.75)x + 120
P'(x) = - 1.5x + 120
-1.5x + 120 = 0
-1.5x = - 120
x = 120 / 1.5
x = 80
D) maximum profit
P(x) = - 0.75x^2 + 120x - 2500
P(80) = - 0.75(80)^2 + 120(80) - 2500
= -0.75(6400) + 9600 - 2500
= -4800 + 9600 - 2500
= 2300
E) price per suit in other to maximize profit
P = 120 - 0.5x
P = 120 - 0.5(80)
P = 120 - 40
P = $80
Answer:
Effect Corporate Change
Explanation:
Making formal statements, holding rites and rituals, utilizing employee training and coaching, demonstrating how a leader reacts to a crises, being a role model, and giving rewards, promotions, and bonuses are some of the teaching methods that organizations can utilize to effect corporate change. Change is one of the important and most difficult process for any organization. It needs to be carried out slowly as it has been manifested in the above given statement as well. Employees need to be given training, promotions, rewards and bonuses, they must be listened, their concerns should be addressed in order to make change process easy and smooth.
Answer:
The share is worth $5.68 today.
Explanation:
The current price of the stock can be calculated using the DDM or dividend discount model. The DDM values the stock based on the present value of the expected future dividends from the stock.
The following is the formula for the price of the stock today,
P0 = D1 / (1+r) + D2 / (1+r)^2 + ... + Dn / (1+r)^n + Terminal value / (1+r)^n
The terminal value is the cumulative value of all the future dividends calculated when the dividend growth becomes zero or constant. In case the dividend growth becomes constant, like in this case, the terminal value is calculated as follows,
Terminal value = Dn * (1+g) / r - g
Where,
- g is the Constant growth rate in dividends
So, the price of this stock today is,
P0 = 0.65 / (1+0.145) + 0.70 / (1+0.145)^2 + 0.75 / (1+0.145)^3 +
((0.75 * (1+0.02) / (0.145 - 0.02)) / (1+0.145)^3
P0 = $5.678 rounded off to $5.68
Answer:
D) AIG
Explanation:
We went back in time to 2008 and we are in the middle of the subprime mortgage crisis. This is an example of how mortgage backed securities and collateralized debt obligations worked.
The problem with this scenario is that in order for every company involved to be able to make a profit, the mortgages' interest rates skyrocketed which made it harder for families to pay back their loans. This eventually made the families lose their houses and that was the end to the housing bubble and the whole economy collapsed.
Answer:
Check the explanation
Explanation:
To calculate or compute the annual percentage growth rate over a particular year period, minus the opening value from the ending value, after which you’ll divide by the opening value. Then multiply the result you got by 100 to get your growth rate that is demonstrated as a percentage.
The step by step calculation can be seen below:
a)if reaches 50 then per share gain
=final-initial-call premium
=50-45-3.25=1.75
gain(%)=gaim/initial)*100
=(1.75/45)*100
=3.89%
b)gain=50-44=6
gain(%)=(6/44)*100
=13.654%
