Compute the below:
The Roller Products Company produces roller skates and skateboards. It has three production lines. Production line 1 makes skateboard platforms. Production line 2 makes skate assemblies. Production line 3 mounts wheels on both products. The marketing department has determined virtually unlimited demand for both products. Profit per pair of roller skates is $10 and $6 per skateboard. Production line 1 can produce 6 skateboard platforms per day, and production line 2 can produce 5 pairs of shoes per day. Production line 3 can mount 20 wheel sets per day. Each skateboard requires 2 wheel sets, and each pair of roller skates requires 4 wheel sets.
a) How many skateboards and roller skates should be scheduled per day to maximize total profits?
b) Solve this problem using the simplex method.