Under ideal​ conditions, a service bay at a Fast Lube can serve 77 cars per hour. The effective capacity of a Fast Lube service bay is 6.06.0 cars per​ hour, with efficiency known to be 0.850.85. The minimum number of service bays Fast Lube needs to achieve an anticipated production of 100100 cars per 88​-hour day​ = nothing service bays ​(enter your response rounded up to the next whole​ number).

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Answer:

The minimum number of bays to achieve an anticipated production of 100 cars per hour day is 3.

Explanation:

The numbers seem to be doubled.

We have the following informations:

The effective capacity of a Fast Lube service bay is 6.0.

The efficience is 0.85.

We have that

Expected output = effective capacity * efficience

Expected output = 6*0.85

Expected output = 5.1

The expected output is 5.1 cars per hour.

In an 8 hour day, that is: 8*5.1 = 40.8 cars.

This means that 1 bay can do 40.8 cars.

Now, we solve a rule of three to find how many bays we need for 100 cars.

1 bay - 40.8 cars

x bays - 100 cars

[tex]40.8x = 100[/tex]

[tex]x = \frac{100}{40.8}[/tex]

[tex]x = 2.45[/tex]

The number of bays is a discrete number, this means that the minimum number of bays to achieve an anticipated production of 100 cars per hour day is 3.

The minimum number of bays is 3 to achieve an anticipated production of 100 cars per hour a day.

What is the output?

Output is the amount of a thing that is produced with the help of a given level of inputs, the resulting result is called the output.

Computation of a number of days:

Given that,

The effective capacity of Lube bay = 6.06.0 cars/- Hour.

Efficiency = 0.850.85.

The formula for Expected Output(EO) :

[tex]\text{EO} = \text{Effective Capacity}\times \rm{Efficiency}\\\\[/tex]

Applying the values in the formula:

[tex]\text{EO} = \text{Effective Capacity}\times \rm{Efficiency}\\\\\text{EO} = 6\times0.85\\\\\text{EO} = 5.1 Per Hour.[/tex]

Then, 8 hours a day :

[tex]8\times5.1 = 40.8\text {cars}[/tex]

Now, it is given that 1 bay = 40.8 cars,

let, x bay= 100 cars.

Then,

[tex]40.8\times x=100\\\\x=2.45.[/tex]

Hence, The minimum number of days is 3 to achieve the minimum target of 100.

Learn more about output, refer:

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