Linear Programming - Manufacturing
A manufacturing company produces plastic plates and cups.
Both products require time on two different machines.
Producing a run of plastic plates requires one hour on Machine A and two hours on Machine B.
Producing a run of cups requires three hours on Machine A and one hour on Machine B.
Each machine is operated a maximum of 15 hours per day.
It costs the company $30 on each run of plastic plates and $22 on each run of cups.
How many runs of each should be produced in a day in order to minimize costs?
What are the constraints for this problem?