Answer:
a)
Expression for plan A:
Total weekly earnings = [tex]100+\frac{15}{100} s[/tex]
Expression for plan B:
Total weekly earnings = [tex]150+\frac{10}{100} s[/tex]
b)
As long as [tex]s[/tex] is less than 1000 plan B is profitable.
Step-by-step explanation:
a)
Expression for plan A:
Total weekly earnings = [tex]100+\frac{15}{100} s[/tex]
Expression for plan B:
Total weekly earnings = [tex]150+\frac{10}{100} s[/tex]
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:
[tex]150+\frac{10}{100} s\geq100+\frac{15}{100} s[/tex]
Now we can simplify the above inequality to find at which value of [tex]s[/tex] it will be profitable to used plan B.
[tex]50\geq\frac{15}{100} s-\frac{10}{100} s[/tex]
[tex]50\geq\frac{5}{100} s[/tex]
[tex]10\geq\frac{1}{100} s[/tex]
[tex]1000\geq s[/tex]
So as long as [tex]s[/tex] is less than 1000 plan B is profitable.
