Problema Solution

1. You are offered two different jobs selling dental supplies. One has an annual salary of $20,000 plus an end of year bonus of 1% of your total sales. The other has a salary of $15,000 and a year -end bonus of 2% of your sales. How much would you have to sell to have the jobs pay the exact same amount?

a. Equations: x represents: percent of total sales

y represents: salary

pay job 1 y = 20,000

pay job 2 y = 15,000

b. Solve the system:

c. Solution: If you would sell $_______________________ of equipment, both jobs would pay you $_____________________.

d. Analysis: If you were to sell $300,000 worth of equipment, which job would pay better? _______________. If you were to sell $700,000 worth of equipment, which job would pay better?___________________. If you sell $__________________ or more Job 2 would pay better.

Answer provided by our tutors

Let the sales be $x

Pay job 1 --20000 +0.01x

Pay job 2-- 15000+0.02x

earnings to be equal

20000+0.01x=15000+0.02x

20000-15000=0.02x-0.01x

5000= 0.01x

/0.01

x=500,000

Sales should be $ 500,000 for eranings to be the same

20000+0.01x=15000+0.02x

plug 300000 for x

20000+300000*0.01 ---------15000+0.02*300000

23000-----------21000

Pay job I will earn more

You can work out for $700,000