Answer:
Materials quantity variance = $2,350 F
Explanation:
Given:
Standard quantity = 3.7 kilos per unit
Standard price = $5 per kilo
Unit produced = 6,300
Total material = 23,780
Computation:
Materials quantity variance = (Actual quantity × Standard price) - (Standard quantity × Standard price)
Materials quantity variance = (23,780 × $) - (6,300 × 3.7 × $5)
Materials quantity variance = $118,900 - $116,550
Materials quantity variance = $2,350 F
Answer:
b. $11.43
Explanation:
g = 25% * 0.20
g = 0.05
g = 5%
D1 = 3 * (1 - 0.2)
D1 = 3 * 0.8
D1 = $2.40
Price = D1 / Expected RR - g
Price = 2.40 / 0.12 - 0.05
Price = 2.40 / 0.07
Price = 34.28571428571429
Price = 34.30
P/E Ratio = Price / Earning per share
P/E Ratio = $34.30/$3
P/E Ratio = 11.43333333333333
P/E Ratio = $11.43
Answer:
a. $28
b. $19
c. 800 watches
Explanation:
The equation is
p = D(q) = 28 - 2.25
The equation of the demand would be
P = 28 - 2.25q
a. The price would be
= $28 - 2.25 × 0
= $28 - 0
= $28
b. The price would be
= $28 - 2.25 × 4
= $28 - 9
= $19
The quantity demanded is come in hundreds so we take only 4
c. The quantity woul dbe
$10 = $28 - 2.25q
$10 - $28 = -$2.25q
-$18 = -$2.25q
So q would be
= 800 watches
Answer:
a. How long will the current bridge system work before a new bracing system is required?: 64.18 years or 64 years and 2 months.
b. What if the annual traffic rate increases at 8 % annually: The bracing system will last for 24.65 years or 24 years and 7 months.
c. At what traffic increase rate will the current system last only 12 years: 17.13%
Explanation:
a. Denote x is the time taken for the number of pedestrian to grow from 300 to 2000. The current pedestrian is 300, the grow rate per year is 3% or 1.03 times a year. Thus, to reach 2,000, we have the equation: 300 x 1.03^x = 2000. Show the equate, we have 1.03^x = 6.67 <=> x = 64.18
b. Denote x is the time taken for the number of pedestrian to grow from 300 to 2000. The current pedestrian is 300, the grow rate per year is 8% or 1.08 times a year. Thus, to reach 2,000, we have the equation: 300 x 1.08^x = 2000. Show the equate, we have 1.08^x = 6.67 <=> x = 24.65.
c. Denote x as traffic increase rate. The current pedestrian is 300, the grow rate per year is (1+x) times a year. Thus, to reach 2,000 after 12 years and thus a new bracing system to be in place, we have the equation: 300 x (1+x)^12 = 2000. Show the equate, we have (1+x)^12 = 6.67 <=> 1+x = 1.1713 <=> x = 17.13%.
Answer:
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