Math Problem Statement

Budget: $2,650.0M Net Digital: $529,276.15 Gross Radio: $821,225.20 Gross Television: $1,768,448.34 Gross

What is the variance? Calculate the variance in Net.

Make sure you use a $ sign, commas, 1 decimal place, and give the answer in 1000s – include the “M” at the end (i.e. $465.2M) or it won't mark your answer correctly.

Solution

To calculate the variance in Net, we need to subtract the total gross value from the net value provided.

Step-by-Step Calculation:

  1. Calculate the Total Gross Value:
    Total Gross = Digital Gross + Radio Gross + Television Gross
    Total Gross = $529,276.15 + $821,225.20 + $1,768,448.34
    Total Gross = $3,119,949.69

  2. Calculate the Variance:
    Variance = Net Budget - Total Gross
    Variance = $2,650.0M - $3,119,949.69
    Variance = $2,650,000,000 - $3,119,949.69
    Variance = $2,646,880,050.31

  3. Convert the Variance into "Thousands" and Express in M:
    Variance in Thousands = $2,646,880,050.31 ÷ 1,000
    Variance = $2,646,880.1K

    Convert to Millions (M):
    Variance = $2,646.9M

Final Answer:

The variance in Net is $2,646.9M.


Would you like further details or explanations on this?

Here are some follow-up questions to explore:

  1. What would happen if we included additional categories like print or social media?
  2. How would the variance change if the Net Budget were reduced by $500M?
  3. Can we calculate the percentage difference between Net and Gross values for each category?
  4. How can we use this variance to inform future budgeting decisions?
  5. What are some common strategies to close the variance gap in future budgets?

Tip: When calculating variances, it's important to ensure that both values (Net and Gross) are expressed in the same units before subtraction!

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Math Problem Analysis

Mathematical Concepts

Variance
Basic Arithmetic
Subtraction
Conversion of Units

Formulas

Variance = Net Budget - Total Gross

Theorems

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Suitable Grade Level

Grades 10-12