John is responsible for security of his company's new e-commerce server. he wants to ensure that online transactions are secure.
1 answer:
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Answer:
Machine A = $ 1.22 million
Machine B = $ 0.70 million
Explanation:
The Equivalent Annual Annuity of the machines is as follows
Machine A = $ 1.22 million
Machine B = $ 0.70 million
Thus the Machine A with a higher Equivalent Annual Annuity of $ 1.22 Million is the better machine.
If the company accepted the better machine which is Machine A, the value of the company increases by $ 3.57 Million (Which is the net total of discounted cash Inflows = Net Present value of Machine A)
See attached file for details.
Answer:
Explanation:
First we express teh other sides as expression of b (wide)
being the volume: a x b x c
and the base: a x b
if the base is long as wide then:
a = 2b
so we can construct:
2b x b x c = 2b^2 x c = 108
and we clear c:
c = 108/ (2b^2) = 54/b^2
<u>Now we construct the cost formula:</u>
ab x 0.50 (cost for the top part)
now the cost of the sides (there are four) and the bottom part:
(2bc + 2ac + ab) x 0.25
total cost: ab x 0.50 + (2bc + 2ac + ab) x 0.25
we replace a and c as expression of b:
and now we solve for b:
<u>Now we derivate the cost function: </u> (considering)
<u />
3b - 81/b^2 = 0
3b^3 = 81
b^3 = 81/3 = 27
b = third root of 27 = 3
<u>now we solve for a: </u>
a = 2b = 2(3) = 6
<u>and last for c:</u>
54/b^2 = 54/(3)^2 = 54/9 = 6
<u>we check if we match the cubic inches:</u>
a x b x c = 108
6 x 3 x 6 = 108