*AIC* Case Analysis Problem: Case 1. (Show all your works, including all computational procedures and details) Our paint store (OPS) sells 5 different paints to consumers: Red, Yellow, Green, Brown, and Blue. Demand of each color paint is normally distributed with monthly mean (gallons) and standard deviation summarized in Table 1. Annual holding cost rate is 25%. Each order incurs an ordering setup (fix) cost of $1,000, and lead time is 2 months. Our paint store (OPS) wants the probability of stocking out (1-SL) to be no more than 5% (use z=1.65). Table 1: Demand (Gallon/Month) Color Red Yellow Brown Blue Mean Demand 40 32 Standard Deviation of 10 20 15 25 30 Demand Green 20 44 50 (a) Assume that cach color paint's inventory is managed independently (cach color paint determines its order quantity and safety stock individually). Cost per gallon of paint is $20 regardless of color. Let AIC' denote annual inventory cost (AIC) of the color paint | Also let AIC = AIR + AIC + AIC + AIC be the total AIC of 5 color paints. Compute AIC for each color. AIC + Chile =?. AI ?, MCMINH ?, 4C AICHE? What should be the total AIC for 5 colors combined? AIC =