Bunuel wrote:
SOLUTION
Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
(A) $21,000
(B) $18,000
(C) $15,000
(D) $ 4,500
(E) $ 4,000
A's compensation = $360 + 6 percent of the A's total sales above $1,000.
B's compensation = 8 percent of B's total sales.
Whose compensation is greater? Well it depends on the sales:
If each has the sales of $1,000, then A's compensation is $360 and B's compensation is $80, so for $1000 A's compensation is greater than that of B's BUT if each has the sales of $100,000, then A's compensation is $360+0.06*99,000=$6,300 and B's compensation is $8,000, so for $100,000 A's compensation is less than that of B's.
The question asks: for what amount would both salespeople earn the same compensation?
Say that amount is $x, then we need such x for which 360+0.06(x-1,000)=0.08x --> x=$15,000. So, if each has the sales of $15,000, then A's compensation is the same as that of B's.
Answer: C.
I didnt get it.... Question says for what amount of
TOTAL SALES...
Total Sales = A's sale + B's sale ....so it has to be be A's sales = 0 and B's sales = 4500 and Option D.
If it is 15000 $ = B's sale then the answer should be 30000$ as the total sales.
Thus If each has a sales of $15000 then the total sales will be $ 30000 Option C just cant be the right answer. unless u interpret -
For what amount of total weekly sales would both salespeople earn the same compensation? - as sales of any one person!!! - which isnt the intended meaning conveyed by the english of the question.