Answer:
The average number of customers in the system is 3.2
Step-by-step explanation:
The average number of customes in the system is given by:
In which
is the number of arirvals per time period
is the average number of people being served per period.
The number of arrivals is modeled by the Poisson distribution, while the service time is modeled by the exponential distribution.
Customers arrive at the stand at the rate of 28 per hour
This means that 
Service times are exponentially distributed with a service rate of 35 customers per hour.
This means that 
. So
The average number of customers in the system (i.e., waiting and being served) is
The average number of customers in the system is 3.2
<h2>The cost is same for both the options if we purchase 27 photos</h2>
Step-by-step explanation:
Cost of a photo at a local store is $0.25 per photo. This cost can be modeled to be linear in number of photos as 
.
Cost of photos purchased online is $0.15 per photo. However there is a shipping cost of $2.70. This can also be modeled to be linear in number of photos as 
.
Let us assume both costs are the same if we purchase 
photos.
So, 
∴ On purchasing 27 photos, cost for both the options is the same.
<em>HOPE</em><em> </em><em>THIS</em><em> </em><em>WILL</em><em> </em><em>HELP</em><em> </em><em>U</em><em>.</em><em>.</em><em>.</em>
A = b is given to us
Multiply both sides by c to get
a = b
a*c = b*c
The rule to multiply both sides by c is the multiplicative property of equality
Then on the right side, replace c with d. This replacement is possible due to the fact that c = d. This is using the substitution property.
So we go from
a*c = b*c
to this
a*c = b*d
Answer:
- Minimum 100 bicycles
- Minimum cost is 13500
Step-by-step explanation:
<u>Given function:</u>
- C(x) = 3x^2- 600x + 43500
a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
<u>Vertex of the given function is:</u>
b.
<u>Cost at vertex is:</u>
- C(100) = 3*100^2 - 600*100 + 43500 = 13500
