Question 127463
Income = base salary + (annual sales)(commision on annual sales)
Let {{{s}}} = annual sales
{{{I[1] = 15000 + .1s}}} for Auto Corp.
{{{I[2] = 30000 + .05s}}} for Polk Corp.
For what value of {{{s}}} would these incomes be equal?
{{{15000 + .1s = 30000 + .05s}}}
{{{.05s = 15000}}}
{{{s = 300000}}}
You would need to make more than $300,000 in sales
to make more money at Auto Corp.
I'll solve each for {{{s = 300001}}}
{{{I[1] = 15000 + .1*300001}}}
{{{I[1] = 45000.10}}}
{{{I[2] = 30000 + .05*300001}}}
{{{I[2] = 45000.05}}}
So, for a dollar more in sales, you would make
.05 more for annual salary at Auto Corp.