A biomedical instrumentation company sells its major products at the rate of 5 units for each day. The instrument is manufactured in lots every few days. It cost company $2000 to set up production of the lot and $40 per unit for each day to hold finished instruments in inventory between runs. The company would like to select a lot size which minimizes average inventory and set up costs for each day supposing that demand takes place smoothly at the given rate. Formulate and solve this problem as LP.