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

Answer:

a)

Expression for plan A:

Total weekly earnings = $100+\frac{15}{100} s$

Expression for plan B:

Total weekly earnings = $150+\frac{10}{100} s$

b)

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

Step-by-step explanation:

a)

Expression for plan A:

Total weekly earnings = $100+\frac{15}{100} s$

Expression for plan B:

Total weekly earnings = $150+\frac{10}{100} s$

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:

$150+\frac{10}{100} s\geq100+\frac{15}{100} s$

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

$50\geq\frac{15}{100} s-\frac{10}{100} s$

$50\geq\frac{5}{100} s$

$10\geq\frac{1}{100} s$

$1000\geq s$

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