A plant manager of a chemical plant must determine the lot size for a particular chemical that has a steadydemand of 30 barrels per day. The production rate is 190 barrels per day, annual demand is 10,500 barrels,setup cost is $200, annual holding cost is $0.21 per barrel, and the plant operates 350 days per year.a. Determine the economic production lot size (ELS).b. Determine the total annual setup and inventory holding cost for this item.c. Determine the time between orders (TBO), or cycle length, for the ELS.d. Determine the production time per lot.What are the advantages of reducing the setup time by 10 percent?