Question

A sales person in the 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 serial sold. The other plan offers no salary will pays $50 commission on each stereo sold her daughter plan offers no celer sales person in the 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 serial sold. The other plan offers no salary but pays $50 Commission on each stereo sold. How many serials must the sales person sell to make the same amount of money under both plans.

Answer 1

10 serials

Explanation:

First we need to write both plans as functions in terms of items sold.

The first plan offers a weekly salary of 250 plus a commission of $25 for each serial sold. The function to represent this would be:

f(x) = 250 + 25x where x is the number of serials sold in one week.

The second plan offers no salary but pays $50 on each stereo sold. The function to represent this would be:

g(x) = 50 x where x is the number or stereos sold in one week.

Now we need to find how many serials must the sales person sell to make the same amount of money under both plans. To do this we will make f(x) = g(x) and solve for x:

`f(x) =g(x)\\250+25x=50x\\250=50x-25x\\250=25x\\10=x`

Therefore, the person must sell 10 serials to make the same amount of money that he would make selling 10 stereos (he must have to sell them in one week)

Answer 2

Hi there! So, there is one plan that gives a fixed cost of $250, with $25 per stereo sold and another plan just simply gives $50 per stereo sold, with no fixed price. We can write and solve an equation to find the answer to this problem. Set it up like this:

250 + 25s = 50s

First off, we need to subtract 25s from the left side. When that is done, you should have 250 = 25s. This is because we need to cancel out the term with the variable from both sides to get one term without the variable and the other without the variable by itself. Now, divide each side by 25 to isolate the "s". 250/25 is 10. Let's check it. 25 * 10 is 250. 250 + 250 is 500. 50 * 10 is 500. 500 = 500. There. s = 10. In order to make the same amount of money under both plans, the salesperson must sell 10 stereos.