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:
1. Predetermined Overhead Rate = Manufacturing overhead costs / Machine Hours
Predetermined Overhead Rate = $216,000/2,700 hours
Predetermined Overhead Rate = $80 per machine hour
2. Allocated overheads =Predetermined Overhead Rate * Machine hours used by Job 551
Allocated overheads = $80 * 90 machine hour
Allocated overheads = $7,200
3. Date Description Debit Credit
15/01 Work In Progress Inventory $7,200
Manufacturing overhead $7,200
(To record allocation of overheads towards Job 551)
True. With competition in a market, firms have to compete to stay ahead of the others
Answer:
2.18%
Explanation:
Effective interest rate = (1+i/m)^n - 1
i is stated as interest rate
m is the compounding frequency
Here, the compounding is quarterly and the effective interest rate is 8%
Since one year is equal to 4 quarter, the value of m is equals to 4
Effective interest rate = (1 + i/4)^4 - 1
9% = (1 + i/4)^4 - 1
0.09 + 1 = (1 + i/4)^4
(1.09)^1/4 = 1 + i/4
1 + i/4 = 1.02178
i/4 = 1.02178 - 1
i/4 = 0.2178
i/4 = 2.18%
In 2003 the presidents of the African countries of Mali and Burkina Faso <span>requested that rich countries apply free trade rules to those products where poor countries have a proven competitive advantage.</span><span>
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