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:
-
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 -
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 -
Convert the Variance into "Thousands" and Express in M:
Variance in Thousands = $2,646,880,050.31 ÷ 1,000
Variance = $2,646,880.1KConvert 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:
- What would happen if we included additional categories like print or social media?
- How would the variance change if the Net Budget were reduced by $500M?
- Can we calculate the percentage difference between Net and Gross values for each category?
- How can we use this variance to inform future budgeting decisions?
- 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
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