A software company has fixed monthly expenses of $10,000 and a variable cost of $100 per software license sold. Due to market capacity, revenue is $0 when 0 licenses are sold and $0 when 200 licenses are sold. The maximum revenue occurs when 100 licenses are sold. Which system of equations represents the linear cost function C(x) and the quadratic revenue function R(x) , where x represents the number of software licenses sold?
Answer
A
cap c times x is equal to 10 comma 000 x plus 100 cap r times x is equal to negative x times open paren x minus 100 close paren
B
cap c times x is equal to 100 x plus 10 comma 000 cap r times x is equal to negative x times open paren x minus 200 close paren
C
cap c times x is equal to 100 x plus 10 comma 000 cap r times x is equal to negative x times open paren x minus 100 close paren
D
cap c times x is equal to 10 comma 000 x plus 100 cap r times x is equal to negative x times open paren x minus 200 close paren