Answer:
16.25;
g(f(x)) ;
76 ;
f(g(x))
Explanation:
For 15 off
f(x) = x - 15
For 35% off
g(x) = (1 - 0.35)x = 0.65x
g(x) = 0.65x
A.)
For the $15 off coupon :
f(x) = x - 15
f(x) 40 - 15 = 25
For the 35% coupon :
g(x) = (1-0.35)x
g(x) = 0.65(25)
g(x) = 16.25
B.)
Applying $15 off first, then 35%
Here, g is a function of f(x)
g(f(x))
Here g(x) takes in the result of f(x) ;
For the $140 off coupon :
f(x) = x - 15
f(140) = 140 - 15 = 125
For the 35% coupon :
g(125) = (1-0.35)x
g(124) = 0.65(125) = $81.25
C.)
x = 140
g(x) = 0.65x
g(140) = 0.65(140)
g(140) = 91
f(x) = x - 15
f(91) = 91 - 15
f(91) = 76
D.)
Here, F is a function of g(x)
f(g(x))
f(x) = (0.65*140) - 15
Answer:
The depreciation is $52,500
Explanation:
The formula to compute the depreciation under the straight-line method is shown below:
=
=
= $52,500
Under the straight-line method, the depreciation expense should be the same for the remaining useful life. Life of the equipment or machine should always be expressed in years, not in hours.
So, these usage of hours should be ignored.
Answer:
I should invest in dollar deposits.
Explanation:
Current exchange rate is 1 euro = $1.08
Assuming I have y euro, the equivalent in dollar is $1.08y
Rate of return on dollar deposit = 2% = 0.02
Return on investment = $1.08y + (0.02 × $1.08y) = $1.08y + $0.0216y = $1.1016y
Rate of return on euro deposit = 1% = 0.01
Return on investment = y euro + (0.01 × y euro) = y euro + 0.01 y euro = 1.01y euro = 1.01y × $1.08 = $1.0908y
I should invest in dollar deposits because the return on investment is greater than euro deposits.
Answer:
Concerns exist about supplier capacity for future volume.
Explanation:
The multisourcing is a method in which the supplier base is expanded increasing the actual number of suppliers, because the needs of the company are increasing.
Advantages:
-Alternative sources of materials in case of delivery stoppage by a supplier.
-Reduced probability of bottlenecks due to insufficient production capacity to meet peak demand.
- Increased competition mong suppliers leads to better quality, price, delivery, product innovation and buyer´s negociation power.
-More flexibility to reat to unexpected events that could endanger supplier´s capacity.
Disadvantages:
-Reduced efforts by supplier to match buyer´s requirements.
-Higher cost for the purchasing organization (greater number of orders, telephone calls, records, and so on).
Answer:
Avoidable costs= $60,000
Explanation:
Giving the following formula:
Raw materials 50,000
Direct labor 10,000
Facility-level costs allocated to products 30,000
<u>We were not provided with information regarding the fixed allocated costs. If none of the fixed allocated costs are avoidable, only the variable cost will not be incurred if the product is eliminated.</u>
Avoidable costs= $60,000