The average monthly maintenance charge for 60 software licenses is $8,000. Following a rate revision, the updated average charge per license increases to $(8,000 + Y). If the total amount collected across all licenses after the revision is $576,000, calculate the value of 3Y.

The correct answer is 4,800.

Step-by-step explanation:

Step 1: Identify the given values
Total number of software licenses = 60
Updated average monthly maintenance charge per license = $(8,000 + Y)
Total amount collected across all licenses after revision = $576,000

Step 2: Formulate the equation
The total collection after revision is equal to the number of licenses multiplied by the updated average charge per license:

$60\times (8000+Y)=576000$

Step 3: Solve for Y
Divide both sides of the equation by 60 to find the updated average charge per license:

$8000+Y=\frac{576000}{60}$

$8000+Y=9600$

Subtract 8,000 from both sides to find the value of Y:

$Y=9600-8000$

$Y=1600$

Step 4: Calculate the required value (3Y)
Multiply Y by 3:

$3Y=3\times 1600$

$3Y=4800$

Therefore, the value of 3Y is 4,800.