# Marcus can choose between a monthly salary of $1.500 plus 5.5% of sales or$2,400 plus 3% of sales. He expects sales between $5,000 and$10,000 a month. Which salary option he choose?

Nov 29, 2016

Using the mean sales value $2400 basic + 3% commision is the better deal #### Explanation: As the sales figures are not fixed to a single value lets use the mean (average) value: In statistics the notation use for this is as follows: Dropping the$ sign for now

Let the sales value be $x$
Then the mean sales value is: $\overline{x}$

$\implies \overline{x} = \frac{5000 + 10000}{2} = 7500$

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$\textcolor{b l u e}{\text{Option 1 -$1500 basic + 5.5% commission}}$$1500 + \frac{5.5}{100} \times 7500 = 1912.50$................................................ $\textcolor{b l u e}{\text{Option 2 - $2400 basic + 3% commission}}$

$2400 + \frac{3}{100} \times 7500 = 2625.00$

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Using the mean sales value Option 2 is the better deal