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------------------------------------------------ The media in South Africa published a list of the annual earnings in Rands ([tex] R [/tex]) of ten prominent CEOs in 2016. Here is the list:

[tex]
\[
\begin{array}{|c|c|}
\hline
\text{Name} & \text{Annual salary (R million)} \\
\hline
\text{Bernard Fornas} & 87.9 \\
\hline
\text{Hendrik du Toit} & 86.1 \\
\hline
\text{Richard Lepeu} & 85.1 \\
\hline
\text{Mark Cutifani} & 66.9 \\
\hline
\text{David Hathorn} & 66.8 \\
\hline
\text{Nicandro Durante} & 59.5 \\
\hline
\text{David Constable} & 51.9 \\
\hline
\text{Glyn Lewis} & 51.5 \\
\hline
\text{Whitey Basson} & 49.9 \\
\hline
\text{Alan Clark} & 49.7 \\
\hline
\end{array}
\]
[/tex]

a. Calculate each person's earnings per month.

b. Assuming a tax rate of [tex] 35\% [/tex], work out how much tax each person would pay on these earnings.

c. How much would they earn per month after tax is deducted?

d. If the average working week is 40 hours long and each person took three weeks' leave during the year, what did the highest and lowest earning person earn on average per working hour (before tax)?

Sure, let's break down the solution to the question step-by-step:

### a. Calculate each person's earnings per month.
To find the monthly earnings, divide each CEO's annual salary by 12.

- Bernard Fornas: [tex]$ \frac{87.9}{12} = 7.325 $[/tex] million Rands
- Hendrik du Toit: [tex]$ \frac{86.1}{12} = 7.175 $[/tex] million Rands
- Richard Lepeu: [tex]$ \frac{85.1}{12} = 7.092 $[/tex] million Rands
- Mark Cutifani: [tex]$ \frac{66.9}{12} = 5.575 $[/tex] million Rands
- David Hathorn: [tex]$ \frac{66.8}{12} = 5.567 $[/tex] million Rands
- Nicandro Durante: [tex]$ \frac{59.5}{12} = 4.958 $[/tex] million Rands
- David Constable: [tex]$ \frac{51.9}{12} = 4.325 $[/tex] million Rands
- Glyn Lewis: [tex]$ \frac{51.5}{12} = 4.292 $[/tex] million Rands
- Whitey Basson: [tex]$ \frac{49.9}{12} = 4.158 $[/tex] million Rands
- Alan Clark: [tex]$ \frac{49.7}{12} = 4.142 $[/tex] million Rands

### b. Work out how much tax each person would pay on these earnings, assuming a tax rate of 35%.
To calculate the annual tax paid, multiply each annual salary by the tax rate of 35% (or 0.35).

- Bernard Fornas: [tex]$ 87.9 \times 0.35 = 30.765 $[/tex] million Rands
- Hendrik du Toit: [tex]$ 86.1 \times 0.35 = 30.135 $[/tex] million Rands
- Richard Lepeu: [tex]$ 85.1 \times 0.35 = 29.785 $[/tex] million Rands
- Mark Cutifani: [tex]$ 66.9 \times 0.35 = 23.415 $[/tex] million Rands
- David Hathorn: [tex]$ 66.8 \times 0.35 = 23.380 $[/tex] million Rands
- Nicandro Durante: [tex]$ 59.5 \times 0.35 = 20.825 $[/tex] million Rands
- David Constable: [tex]$ 51.9 \times 0.35 = 18.165 $[/tex] million Rands
- Glyn Lewis: [tex]$ 51.5 \times 0.35 = 18.025 $[/tex] million Rands
- Whitey Basson: [tex]$ 49.9 \times 0.35 = 17.465 $[/tex] million Rands
- Alan Clark: [tex]$ 49.7 \times 0.35 = 17.395 $[/tex] million Rands

### c. Calculate how much they would earn per month after tax is deducted.
First, subtract the tax from the annual salary to get the annual earnings after tax. Then, divide by 12 for monthly earnings after tax.

- Bernard Fornas: [tex]$ (87.9 - 30.765) \div 12 = 4.761 $[/tex] million Rands
- Hendrik du Toit: [tex]$ (86.1 - 30.135) \div 12 = 4.664 $[/tex] million Rands
- Richard Lepeu: [tex]$ (85.1 - 29.785) \div 12 = 4.610 $[/tex] million Rands
- Mark Cutifani: [tex]$ (66.9 - 23.415) \div 12 = 3.624 $[/tex] million Rands
- David Hathorn: [tex]$ (66.8 - 23.380) \div 12 = 3.618 $[/tex] million Rands
- Nicandro Durante: [tex]$ (59.5 - 20.825) \div 12 = 3.223 $[/tex] million Rands
- David Constable: [tex]$ (51.9 - 18.165) \div 12 = 2.811 $[/tex] million Rands
- Glyn Lewis: [tex]$ (51.5 - 18.025) \div 12 = 2.790 $[/tex] million Rands
- Whitey Basson: [tex]$ (49.9 - 17.465) \div 12 = 2.703 $[/tex] million Rands
- Alan Clark: [tex]$ (49.7 - 17.395) \div 12 = 2.692 $[/tex] million Rands

### d. Calculate what the highest and lowest earning person earns on average per working hour (before tax), considering a 40-hour work week and 3 weeks of leave.
First, calculate the number of working hours in a year. If there are 3 weeks of leave, then 49 weeks of work remain. With a 40-hour work week, multiply 49 by 40 to find the total annual working hours: [tex]$ 49 \times 40 = 1960 $[/tex] hours.

Bernard Fornas (highest earner):
- Hourly rate before tax: [tex]$ \frac{87.9}{1960} = 0.0448 $[/tex] million Rands per hour

Alan Clark (lowest earner):
- Hourly rate before tax: [tex]$ \frac{49.7}{1960} = 0.0254 $[/tex] million Rands per hour

This detailed explanation breaks down each part of the question and illustrates how the calculations are made for the CEOs' earnings and taxes.