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:
Yes, different societies require different amounts of societal resources. Explanation:
The amounts of societal resources are based on the size or population of the society. The more vast the population the more resources needed. For example, the USA and Russia have a different population count, so that does mean we require different amounts of societal resources.
Future Value is $7,327.20
<h3>What is compound interest ?</h3>
Compound interest is the interest on deposits that is computed using both the original principal and the interest accrued over time.
It is thought that the concept of "interest on interest" or compound interest first appeared in Italy in the 17th century. Compared to simple interest, which is just charged on the principal amount, it will cause a sum to grow more quickly.
Money grows more quickly when it is compounded, and compound interest increases as the number of compounding periods increases.
CI formula : A = P(1 + r/n)^nt
where,
P = principal balance,
r = interest rate,
n = number of times interest is compounded per time period and
t = number of time periods.
To solve this question :
A = P(1 + r/n)^nt
= 6,000 (1 + 0.02/12) 120
= USD 7,327.20
To know more about compount interest, visit :
brainly.com/question/14295570
#SPJ4
Answer:
$68,600
Explanation:
An predetermined overhead of $70,000 was estimated for an activity of 2,500 hours. The actual overhead assigned to the products is given by multiplying the fraction of the total 2,500 hours of activity utilized by the products by the predetermined overhead:
The total amount of overhead assigned to the products is $68,600.
