For company X, let total sales be A.
Now, we are given that sales commission at Company X =
2100×2000+15100×(A−2000)For company Y, let total sales be B.
Now, we are given that sales commission at Company Y =
5100×2000+10100×(B−2000)We need to find the amount of weekly sales at company Y such that the commission at both the companies is equal.
We are given the value of A = 5000
Commission at company X =
2100×2000+15100×(5000−2000)=
40+450 = 490
Commission at company Y =
5100×2000+10100×(B−2000)=
100+0.1×B−200 =
0.1×B−100Commission at X = Commission at Y
490=0.1×B−100590=0.1×BB = 5900
OA, ACarcass wrote:
The weekly sales commission at Company X is 2 percent of the first $2,000 of weekly sales plus 15 percent of the weekly sales in excess of the first $2,000. The weekly sales commission at Company Y is 5 percent of the first $2,000 of weekly sales plus 10 percent of the weekly sales in excess of the first $2,000. In a given week, what is the amount of weekly sales at Company Y that would earn the same weekly sales commission as $5,000 in weekly sales at Company X?
A. $5,900
B. $5,300
C. $4,900
D. $4,800
E. $4,500
Kudos for the right answer and explanation