Problem 1(10 points): Consider the example below with 5 periods. In period 1, on hand inventory was 75 and demand was 50. In period 2, on hand inventory was 60 and demand was 80, etc. Fill in the table below and answer questions a, b, and c below. Period On-hand inventory Demand In-stock (Yes/No) Sales 1 75 50 2 60 80 3 90 120 4 45 90 5 30 20 Table 1: On-hand inventory and demand information (a) (3 points) Calculate in stock rate? (b) (2 points) Calculate stock-out rate? (c) (5 points) Calculate fill rate