Answer:
<em>B. (U+V)(U-V)</em>
Step-by-step explanation:
<u>Factoring</u>
The given expression is:

It should be noted that both terms are perfect squares:


Since it's a difference of squares, we need to use the following pattern to factor the required expression:

Thus, the answer is
B. (U+V)(U-V)
Answer:
The answer is B) 0.57.
Step-by-step explanation:
In this problem we have to apply queueing theory.
It is a single server queueing problem.
The arrival rate is
and the service rate is
.
The proportion of time that the server is busy is now as the "server utilization"and can be calculated as:

where c is the number of server (in this case, one server).
Let x be the months and y be the cost.
Rate of increase of commodity A = 6/3 = $2 per month
Equation:
y = 2x + 4500
Rate of increase of commodity B = 2/4 = $0.5 per month
Equation:
y = 0.5x + 5400
Equating the costs,
2x + 4500 = 0.5x + 5400
1.5x = 900
x = 600 months
x = 600 / 12 = 50 years