A chemical firm produces sodium bisulfate in 100- pound bags. Demand for this product is 20 tons per day. The capacity for producing the product is 50 tons per day. Setup costs $ 100, and storage and handling costs are $ 5 per ton a year. The firm operates 200 days a year. (1 ton 2,000 pounds.)

a. How many bags per run are optimal?

b. What would the average inventory be for this lot size?

c. Determine the approximate length of a production run, in days.

d. About how many runs per year would there be?

e. How much could the company save annually if the setup cost could be reduced to $ 25 per run?