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:
There are many advantages of government intervention such as even income distribution, no social injustice, secured public goods and services, property rights and welfare opportunities for those who cannot afford. Whereas, according to some economists the government intervention may also result in few disadvantages.
I would try to remove corruption
Explanation:
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Answer:
$4,267,059
Explanation:
to determine the equivalent amount of money between 1924 and 2008, we must divide the 2008 CPI by the 1924 CPI, and then multiply by $36,000:
= (2015 / 17) x $36,000 = 118.53 x $36,000 = $4,267,059
The consumer price index measures the weighted price of basket of goods . It is useful for calculating inflation and comparing how the purchasing value of the US dollar has decreased in time. Basically what this shows us, is that $1 in 1924 would purchase the same amount of goods as $118.53 in 2008.
Answer:
Truman has a higher inventory turnover ratio and Stapleton has a higher gross profit ratio ( D )
Explanation:
Truman sell a large number of common household items ( assuming 100 unit )
while Stapleton sells a small number of expensive items ( assuming 20 units )
lets assume : Truman sells at $5 per unit and Stapleton sells at $50 per unit
with the above assumptions
Truman gross profit ratio = $5 * 100 units = $500
Stapleton gross profit ratio = $50 * 20 units = $1000
from the above assumptions you can deduce that the gross profit made by Stapleton is higher although he sells a smaller amount of goods while Truman has a higher Turnover because of its higher number of sold units
Answer:
differential analysis:
No further process Process further Differential
amount
Sales revenue $410,000 $1,213,400 $803,400
Production costs ($340,000) ($580,000) ($240,000)
Operating income $70,000 $633,400 $563,400
The company should process further and sell products B and C because its operating income will increase by $563,400.
