A company that makes the rocket widget has one machine capable of producing this unique 28) item. The machine requires an attendant, who works 40 hours a week for $12 per hour and has made himself available for a maximum of 8 hours of overtime. It costs $20 per hour to run the machine and it is capable of producing 10,000 rocket widgets per hour. The widgets sell for $10 per hundred and cost $1 per hundred in materials.
If the production manager wishes to develop a sales and operations plans using an optimization model, which of the following statements is valid?
A) A constraint should limit the cost to run the machine to less than or equal to $20 per hour.
B) The objective function must be to minimize the overtime.
C) The objective function should maximize the amount of rocket widgets produced.
D) A constraint should limit overtime to less than 8 hours per week.