A sales person in a stereo store is given a choice of two different compensation plans. One plan offers a weekly salary of $250 plus a commission of $25 for each stereo sold. The other plan offers no salary but pays $50 commission on each stereo sold. How many stereos must the sales person sell to make the same amount of money under both plans ?

The salesperson needs to sell 10 stereos to make the same money on both plans

Step-by-step explanation:

We'll analyze both choices for the compensation plans of a salesperson.

One plan offers a fixed weekly salary of $250 plus a $25 commission for each stereo sold. The function than models this plan is:

P1=250+25x

Where x is the number of stereos sold.

The other plan offers no fixed salary but a $50 commission on each stereo sold. The function of this plan is:

P2=50x

To find the equilibrium point for both plans, we make P1=P2:

250+25x=50x

Simplifying:

25x=250

Solving:

x = 250 / 25 = 10

The salesperson needs to sell 10 stereos to make the same money on both plans

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

answer: 12

step-by-step explanation:

because yes