*2. The pdf of the demand per period in an infinite-horizon inventory model is given as feD) = .08D,O :5 D:5 5 The unit cost parameters are Unit selling price = $10 Unit purchase price = $8 Unit holding cost per month = $1 Unit penalty cost per month = $10 Discount factor = .9 Determine the optimal inventory policy assuming zero delivery lag and that the unfilled demand is backlogged.