A manufacturer makes two products, bottles and cups which must be processed through two machines centers. Machine center 1 has up to 60 hours available and machine center 2 handle up to 2880 minutes. Manufacturing one bottle requires 240 minutes in machine center 1 and 2 hours in machine center 2. Each cup requires 120 minutes in machine center 1 and 4 hours in machine center 2. Moreover, each bottle yields a profit of R8 and each cup generates R6 for profit. What is the best combination of bottles and cups that will yield the optimum profit? NB: Show all the steps. [18]