A company produces two types of bicycles; mountain bikes and racing bikes. It takes 7 hours of assembly time and 9⁄2 hours of mechanical tuning time to produce a mountain bike. It takes 10 hours of assembly time and11/2 hours of mechanical tuning time to produce a racing bike. The company has at most 24 hours of mechanical tuning labor per week and at most 161 hours of assembly labor per week. The company's profit is $50 for each mountain bike produced and $200 for each racing bike produced. The company wants to make as much money as possible. Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce. Which of the following is the objective function for the problem?

a) Maximize P = 200x + 50y
b) Minimize P = 200x + 50y
c) Maximize P = 10000xy
d) Minimize P = 50x + 200y
e) Maximize P = 50x + 200y
f) None of the above.