Answer:
For a sale value greater than $7200 the plan a is profitable.
Step-by-step explanation:
Let us assume for a sale of $x, Chris will choose plan a.
Now, in plan a, a commission of 8% of sales and $370 per month, is the salary.
So, for a sale of $x the salary is $(370 + 0.08x) per month.
And, in plan b, a commission of 3% of sales and $730 per month, is the salary.
So, for a sale of $x the salary is $(730 + 0.03x) per month.
Now, for selecting plan a, the condition is
(370 + 0.08x) > (730 + 0.03x)
⇒ 0.05x > 360
⇒ x > 7200
Therefore, for a sale value greater than $7200 the plan a is profitable. (Answer)
