Answer:
See notes below
Explanation:
Rate variance
The rate variance is the the difference between the standard labor cost of the actual hours paid for and the actual cost.
<em>Possible reasons:</em>
An increase in wage rate
Skilled workers were as against using the unskilled workers planned for
Efficiency variance
Labour efficiency variance is the difference between the actual time taken to achieve a given production output less the standard hours allowed for same multiplied by the standard labour rate
<em>Possible reasons:</em>
The use of skilled workers who worked faster than the unskilled workers planed for
The workers were trained making them more efficient in saving time
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
Because the New Testament is about Jesus
Answer:
$8,770.00
Explanation:
In this question we use the present value formula i.e shown in the attachment below:
Data provided in the question
Future value = $0
Rate of interest = 0.48%
NPER = 4 years × 12 months = 48 months
PMT = $205
The formula is shown below:
= -PV(Rate;NPER;PMT;FV;type)
So, after solving this, the answer would be $8,770.00
Answer:
The answer is $80,000
Explanation:
The formula for straight-line depreciation is:
[Cost of asset - salvage value(if any)] ÷ useful life of the asset
Depreciation = $4,000
Cost of asset= ? (represented by y)
Useful life of the asset = 20 years
$4,000 = y ÷ 20 years
y is $4,000 x 20 years
y = $80,000
Therefore, the initial cost of the asset was $80,000
