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:

y represents:

pay job 1 y =

pay job 2 y =

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

a. pay job 1: y = 20000 + .01x

pay job 2: y = 15000 + .02x

 

b. 20000 + .01x = 15000 + .02x

5000 + .01x = .02x

5000 = .01x

500000

 

c. 20000 + .01(500000) = 25000

15000 + .02(500000) = 25000

 if you would sell $500,000 of equipment then both jobs would pay you $25,000

 

d. $300,000

20000 + .01(300000) = 23000

15000 + .02(300000) = 21000

job 1 pays better

 

$700,000

20000 + .01(700000) = 27000

15000 + .02(700000) = 29000

job 2 pays better

 

20000 + .01x < 15000 + .02x

5000 + .01x < .02x

5000 < .01x

500000 < x

if you were to sell $500,000 or more job 2 would pay better