The FS factory can produce wieners at a rate of 5,000 per day. FS supplies wieners to local stores at a steady rate of 400 per day. The cost of...

The FS factory can produce wieners at a rate of 5,000 per day. FS supplies wieners to local stores at a steady rate of 400 per day. The cost of preparing the equipment for producing wieners is $25. Annual holding costs are 30 cents per wiener. The factory operates 350 days a year. Find:

The optimal total production quantity per production cycle and the corresponding maximal on-hand stock level,

The optimal number of production cycles per year, and

The optimal length of each production cycle.