# Question 81fd3

Mar 27, 2017

#### Explanation:

I would represent the two plans using a linear function where the salary $s$ will be function of the sales $n$ as:
Plan A: ${s}_{A} = 410 + 0.08 n$
Plan B: ${s}_{B} = 780 + 0.03 n$
We can solve the equations together imposing ${s}_{A} = {s}_{B}$ or:
$410 + 0.08 n = 780 + 0.03 n$
$0.05 n = 370$
n=$7400# We can also plot both equations using for example Excel (but also by hand is perfectly feasible) to see the point when plan A becomes more interesting (value of sales on the $x\$ axis):