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Simplex Method for Maximum Profits

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.

Solution Preview

Student, see attached PDF and a copy in Word with step-by-step ...

Solution Summary

PDF and a copy in Word with step-by-step instructions for using Simplex method for profits at the Roller Products Company. This includes setting up the objective function and constraints.