A company produces two types of bicycles; mountain bikes and racing bikes. It takes 6 hours of assembly time and 3 hours of mechanical tuning time to produce a mountain bike. It takes 10 hours of assembly time and 7⁄4 hours of mechanical tuning time to produce a racing bike. The company has at most 22 hours of mechanical tuning labor per week and at most 159 hours of assembly labor per week. The company's profit is USD 110 for each mountain bike produced and USD 150 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?
Maximize P = 110x + 150y
Maximize P = 16500xy
Minimize P = 150x + 110y
Maximize P = 150x + 110y
Minimize P = 110x + 150y
None of the above.