Asalesperson at an electronics store is given a choice of two different compensation plans. plan a pays him a weekly salary of $250 plus a commission of $25 for each stereo sold. plan b offers no salary but pays $50 commission on each stereo sold. how many stereos must the salesperson sell to make the same amount of money with both plans? write a paragraph answering the following questions: when is plan b the better plan? when is plan a the better plan? which plan would you select and why?

Step-by-step explanation:

According to the problem.

$250 per week.

$25 per stereo sold.

It's expressed as:

No salary.

$50 per stereo sold.

It's expressed as:

Now, to make the same amount of money with both plans we must solve the following equality

Then, we solve for

So, a sales person must sell 10 stereos to earn the same salary with each plan.

On the other hand, if plan B is better than plan A, it means the following inequality is true

Therefore, if a salesperson sells more than 10 stereos, then the Plan B is better.

If plan A is better, then the following relation is true.

Therefore, if a sales person sells less than 10 stereos, then Plan A is better than Plan B.

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5