I have a problem and I just want someone to double check the answer I came up wi
ID: 3028020 • Letter: I
Question
I have a problem and I just want someone to double check the answer I came up with before I start graphing.
"Compare the following three sales jobs:
*Red Baron pays a fixed salary of $500 per week with no commissions.
*Green Dragon pays a fixed salary of $400 per week and also 2% commission for sales up to $2000 and 4% commission for sales above $2000.
*Black Adder pays entirely on commission: 8% for sales up to $4000, and 15% commission for sales above $4000
a. Let R(s), G(s), B(s) be the weekly compensation at the three companies based on weekly sales of s dollars. Find formulas for each of the three functions.
I came up with
R(s)=500
G(s)=400*.2(2000) if s<=2000
G(s)=400*.2(2000)+.4(s-2000) if s>=2000
B(s)=4000*.8(4000) if s<=4000
B(s)=4000*.8+.15(s-4000) if s>=4000
Are they written correctly?
Explanation / Answer
Solution: The correct formulas are
R(s) = 500
G(s) = 400+0.02(2000) if s<=2000
G(s) = 400+0.04(s-2000) if s>=2000
B(s) = 4000(0.08) if s<=2000
B(s) = 4000(0.08)+0.15(s-4000) if s>=4000
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