Question

Fernando is starting a new sales job, and needs to decide which of two salary plans to choose from. For plan A, he will earn $100/week plus 15% commission on all sales. For plan B, he will earn $150/week plus 10% commission on all sales.

a. Write an expression for each salary plan if s is Fernando's total weekly sales
b. For what amount of weekly sales us plan B better than plan A?

Answer 1

Expression A: S= 100+ 100(0.15y) y=Commission

Expression B: S= 150+ 150(0.10y)

Now to get Part B done. Plug in numbers for Y and use the results as the sales continue to increases. For example, start with 5 sales, then go to 10 then 15, and so on and so fourth. Hope I was able help you understand the question a little bit more! :)

Answer 2

a)

Expression for plan A:

Total weekly earnings =
`100+(15)/(100) s`

Expression for plan B:

Total weekly earnings =
`150+(10)/(100) s`

b)

As long as
`s` is less than 1000 plan B is profitable.

Explanation:

a)

Expression for plan A:

Total weekly earnings =
`100+(15)/(100) s`

Expression for plan B:

Total weekly earnings =
`150+(10)/(100) s`

b)

For plan B to be better the amount earned by plan B for a specific number of sales should be greater than amount earned by plan A.

Therefore, we can write the following inequality:

`150+(10)/(100) s\geq100+(15)/(100) s`

Now we can simplify the above inequality to find at which value of
`s` it will be profitable to used plan B.

`50\geq(15)/(100) s-(10)/(100) s`

`50\geq(5)/(100) s`

`10\geq(1)/(100) s`

`1000\geq s`

So as long as
`s` is less than 1000 plan B is profitable.