<u>Solution and Explanation:</u>
The given data is as follows:
Error rate = 4%, per hour payment of inspector = $8, inspection of units = at the rate of 49 per hour, cost = $9 per unit
The problem can be solved as considering an opportunity to have an improvement of 4% in the quality.
In case inspector is not hired then it will cost .04 multiply 9= $.3.6 per unit and in case the inspector is hired it will cost $ 0.163 approx.(8 divided by 49).
Therefore, on comparison, it is recommended to hire the inspector.
Answer:
$7,081.25
Explanation:
Face value = 5000
Coupon = 15% paid annually. Semi annual payment = 750/2 = 375
Time to maturity = 18 years
Interest rate = 10% compounded semi-annually
P = 375(P|A, 5%, 36) + 5000(P|F, 5%, 36)
P = 375(16.58131488) + 5000(0.17265193)
P = 6217.99308 + 863.25965
P = 7081.25273
P = $7,081.25
So, the present worth of one bond today is $7,081.25
Let:
x = amount in the account invested in 2.5%
20000 - x = amount in the account invested in 3%
Solution:
.025x + .03 (20000 - x) = 540
.025x + 600 - .03x = 540
-.005x + 600 = 540
-.005x = 540 - 600
-.005x = -60
x = 12000
Therefore, that person invests 12,000 at 2.5%
and
20,000 - 12,000 = 8,000 at 3%
Answer:
p = 59.11 dollars
Explanation:
Given
Price: p(x) = 8eˣ (0 ≤ x ≤ 2)
Revenue; R = x*p = 8xeˣ
p = ? when R be at maximum
We can apply
dR/dx = d(x*p)/dx = 0
⇒ d(8xeˣ)/dx = 8*(1*eˣ + x*eˣ) = 0
⇒ eˣ*(1 + x) = 0 ⇒ x = - 1
as x = - 1 ∉ [0, 2]
then, we have
p(0) = 8e⁰ = 8
R = 0*8 = 0
If x = 1
p(1) = 8e¹ ≈ 21.74
R = 1*21.74 = 21.74
If x = 2
p(2) = 8e² ≈ 59.11
R = 2*59.11 = 118.22
Implies that, R(x) is maximum at x = 2.
Thus, the price that maximize the revenue of the company is 59.11 dollars.
Answer:
$6 per unit
Explanation:
using the weighted average method:
units completed 92,000 x 100% (both materials and conversion)
ending work in progress 24,000
- materials 90% completed = 21,600
- conversion 40% completed = 9,600
equivalent unit conversion costs = total conversion costs / total equivalent units of conversion
- total conversion costs = $20,320 + $15,240 + $$182,880 + $391,160 = $609,600
- total equivalent units of conversion = 92,000 + 9,600 = 101,600
equivalent unit conversion costs = $609,600 / 101,600 units = $6 per unit