Question

Help :(
When hired at a new job selling jewelry, you are given two pay options:

Option A: Base salary of $14,000 a year, with a commission of 12% of your sales

Option B: Base salary of $19,000 a year, with a commission of 5% of your sales

In order for option A to produce a larger income, you would need sell at least $ _____ of jewelry each year.

Hint: earning 12% of your sales means you earn $0.12 for every $1.00 sold

Answer 1

Let x=sales
Option A: Base salary of $14,000 a year, with a commission of 12% of your sales
A = 14000 + 0.12 x

Answer 2

Can you write the equation for Option B?

Answer 3

B: Base salary of $19,000 a year, with a commission of 5% of your sales Pay= 19000 + 0.05 (S)
?

Answer 4

(x)

Answer 5

Correct. So now you want to know how much you'd have to sell to make Option A pay more than Option B. \[A \ge B\text{ or }14000+0.12x \ge19000+0.05x\]...

Answer 6

I got $251,428.571 is that correct /:

Answer 7

Wow. That is a lot of jewelry! No. That isn't the amount I calculated. Do you want to show your work?

Answer 8

1400+0.12x=19000+0.05x

-1400 -1400

0.12x=17600 +0.05x

-0.05x -0.05x


0.07x=17600

Then i divided both sides by 0.07x

what am i doing wrong?

Answer 9

1400 should be 14,000

Answer 10

oh *face palm!

Answer 11

so is it 71428

Answer 12

That agrees with my answer.