9. A company that sells computers and other electronic eg
some new sales staff. The company offers salary packages that combine a base
salary and commissions from sales. It is willing to pay a base salary of between
$20,000 and $30,000 per year and a commission rate between 2.5% and 6.5% of
total sales per year. The company has a rule that if someone makes the maximum
base salary, he or she cannot earn the highest commission rate, and vice versa.
A. Javier is very confident in his ability to generate large sales. What salary
package would appeal to him? Explain your reasoning, and write an
algebraic expression for Javier's salary package.
B. Catherine prefers to have a more stable income that is less affected by sales.
What salary package would appeal to her? Explain your reasoning, and write
an algebraic expression for her salary package.
C. For what amounts of sales will Catherine make more than Javier? Use your
expressions from parts a and b to write and solve an inequality to find the
answer.