A chemical company produces a chemical compound that is produced at a rate of 10,000 pounds per year. They have experienced a relatively stable demand of 2,500 pounds per year. The fixed cost of setting up for a production run of the chemical is $50, the variable cost of production is $2 per pound and the cost of holding is based on a 30 percent annual interest rate. Determine the optimal lot size, the length of each production run, the annual holding cost the annual setup up cost, and the maximum level of the on-hand inventory