In past presidential elections in the United States, very long wait times have been witnessed at precincts (voting stations) in states that ultimately decided the election (Florida in 2000 and Ohio in 2004). In NYC as well, some voters complained about the long lines in some precincts, with most complaints coming from precinct A. In 2016, the average number of voters arriving at Precinct A was 27 per hour and the arrival of voters was random. Suppose service times were also random and that each voter spent on average 5 minutes in the voting booth (this is the time needed to cast her/his vote using a voting machine). what would be the utilization rate with the minimum number of voting machines to barely satisfy the demand

The utilization rate with the minimum number of voters = 0.75

Step-by-step explanation:

Rate of arrival of voters = 27 voters per hour

If each voter spends 5 minutes in the voting booth,

In 1 hour, number of voters = 60/5 = 12. i.e. service rate = 12 voters per hour

Utilization rate, UR= ...............(1)

Maximum value for UR = 1. i.e UR ≤ 1

number of voters cannot take a decimal value, therefore,

The minimum number of voters = 3

Substituting number of voters into equation (1)

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

step-by-step explanation:

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