Franks machine shop operates 250 days per year. Frank sells 5000 units per year

Franks machine shop operates 250 days per year. Frank sells 5000 units per year of his most popular item a specialty gear. The set-up cost for this gear is 100 and the monthly unit cost of holding inventory is 1% of the production cost per unit which is 50. The lead time is 10 days. When the gear is being produced the shop can make 80 gears per day (Hint: You should use the production model for inventory management.).Complete the following:How many gears should be produced in each run and at what minimum cost?What is the cycle time?Find the reorder point.Draw a graph to depict inventory level against time and show on it the quantities found above. Also what is the maximum inventory level?