Answer:
Value of x maximising profit : x = 5
Explanation:
Cost : C(x) = x^3 - 6x^2 + 13x + 15 ; Revenue: R(x) = 28x
Profit : Revenue - Cost = R(x) - C(x)
28x - [x^3 - 6x^2 + 13x + 15] = 28x - x^3 + 6x^2 - 13x - 15
= - x^3 + 6x^2 + 15x - 15
To find value of 'x' that maximises total profit , we differentiate total profit function with respect to x & find that x value.
dTP/dx = - 3x^2 + 12x + 15 = 0 ► 3x^2 - 12x - 15 = 0
3x^2 + 3x - 15x - 15 = 0 ► 3x (x +1) - 15 (x + 1) = 0 ► (x+1) (3x-15) = 0
x + 1 = 0 ∴ x = -1 [Rejected, production quantity cant be negative] ;
3x - 15 = 0 ∴ 3x = 15 ∴ x = 15/3 = 5
Double derivate : d^2TP/dx^2 = - 6x + 12
d^2TP/dx^2 i.e - 6x + 12 at x = 5 is -6(5) + 12 = - 30+ 12 = -8 which is negative. So profit function is maximum at x = 5
Answer:
The proportion of the investment is 100%.
Explanation:
This can be calculated using the following formula:
Rportfolio = (y * Rrisky) + ((1 - y) * Ttbill) ..................... (1)
Where;
Rportfolio = Overall portfolio expected rate of return = 15%. or 0.15
Rrisky = risky portfolio expected rate of return = 15%, or 0.15
Ttbill = T-bill rate = 10%, or 0.10
Substituting the values into equation (1) and solve for y, we have:
0.15 = (y * 0.15) + ((1 - y) * 0.10)
0.15 = 0.15y + 0.10(1 - y)
0.15 = 0.15y + 0.10 - 0.10y
0.15 - 0.10 = 0.15y - 0.10y
0.05 = 0.05y
y = 0.05 / 0.05
y = 1.00, or 100%
Therefore, the proportion of the investment is 100%.
Answer:
The correct answer is: expert power.
Explanation:
Expert power is power derived from the belief of workers that a manager or some other member of an organization has a high level of knowledge or some sort of unusual skills not acquired or displayed by other employees or coworkers of the company. This provides the skilled worker a certain influence at the moment of deciding workers of the same hierarchy.
Answer:
The correct answer is letter "B": The tendency of competition to cause individuals and firms to unintentionally promote the interests of society.
Explanation:
In his book "<em>An Inquiry into the Nature and Causes of the Wealth of Nations</em>" (1776), British economist Adam Smith (1723-1790) introduced the term "invisible hand" to refer that economic factors (buyers and sellers) naturally influence in the fluctuations of supply and demand without the need for the intervention of the government.
According to Smith, buyers and sellers interactions act as an "invisible hand" arranging proper levels of competition between businesses and promoting the best interest of societies.
