2. The junior and senior classes are raising money for Grad Bash. The junior class purchased 400 gourmet flavored chocolate for $500. They plan to sell their chocolate
for $5 each. The senior class purchased 600 egg cartons of one dozen eggs for $400.
They plan to sell each dozen of eggs for $3 each. Let x represent the number of items
each class could sell, c(x) represent total potential profit for the junior class and e(x)
represent total potential profit for the senior class.
Part A: Write a system of equations that represents the potential profit for each class.
Part B: Write a reasonable domain for each equation in the system.
Part C: For what value of x does c(x) = e(x)