1 Weekly demand for HP printers at Sam's Club store is normally distributed with a mean of 250 and standard deviation of 150. The store manager continuously monitors inventory and currently orders 1000 printers each time the inventory drops to 600 printers. HP currently takes two weeks to fill an order. (a) How much safety inventory does the store carry? (2pts) (b) What CSL does Sam's Club achieve as a result of this policy? (2pts) (c) An average, how many shortages are there each cycle?(2pts) (d) What fill rate does the store achieve? (2pts) (e) If the store wants to have a 95% CSL, determine the (i) reorder level, (ii) safety inventory, (iii) expected shortages per cycle, and (iv) fill rate. (4pts) (f) Suppose the lead-time is normally distributed with a mean of two weeks and a standard deviation of 1.5 weeks. For a 95% CSL, determine the (i) reorder level, (ii) safety inventory, (iii) expected shortages per cycle, and (iv) fill rate. (3pts) Show results in 3 separate dataframes: one for parts (a) - (d), one for part (e), and one for part (f)