A company has 24,000 empioyees. \( 40 \% \) work in the IT department and of those. "\$ are sottware engineers. Each software engineer gets a \( 12 \% \) salary bonus at the end of the year (a) How many employees are software engineers? (b) If each software engineer earns an average of \( \$ 90,000 \) per year how much total bonus money is paid?
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To find how many employees are software engineers, we start by determining how many work in the IT department. Since \( 40\% \) of 24,000 employees work in IT, that's \( 0.40 \times 24,000 = 9,600 \) employees in IT. If we assume a certain percentage \( x \) of these are software engineers, we can express the number of software engineers as \( 9,600x \). (You didn’t specify \( x \), so let’s keep it general.) Now for the total bonus paid out to software engineers: If there are \( 9,600x \) software engineers and each earns an average of \( \$ 90,000 \) with a \( 12\% \) bonus, we can calculate the total bonus amount as follows: Total bonus per software engineer is \( 0.12 \times 90,000 = \$ 10,800 \). So, the total bonus for all software engineers is \( 10,800 \times 9,600x \). Hence, the total bonus money paid is \( 103,680,000x \). You're close to a fun calculation here!