2. Determine the optimal order quantity and optimal inventory cost in the following problem. Shatsky's Wholesale Liquors experiences a demand of 5,000 cases per year for Old Parrot Whiskey. Shatsky's supplier (distributor) offers the following all-units discount schedule for order sizes: $144 per case for orders less than 250 cases; $138 per case for orders of 250 cases up to 499 cases; and $130 per case for orders of 500 cases or more. The fixed ordering cost is $10 and the carrying-cost rate is 0.25. 3. Solve the following problem: Retail Management Digital Stereo Systems stocks a certain digital play back device that costs $700 to stock and has annual sales of 250 units. The cost to place an order is $100, carrying cost rate is 15 percent, and the backorder cost is $15 per unit per year. a. Compute the optimal inventory policy, specifying the maximum inventory level, the percentage of sales that can be met from stock on hand, and the maximum number of units on backorder. 4. Solve the following problem: Seasonal Items A major producer of Texicone antitreeze is planning 2 production for the upcoming winter season. The cost to produce the antifreeze is $4 per gallon, and the product is wholesaled to Texicone dealers for $6.50 per gallon. For each gallon short of demand, the producer will lose the revenue of $6.50. For each gallon left over at the end of the season, a holding cost of $1.70 is incurred to carry the product over to the next winter season. One production run is made each summer. The demand for the product is a random variable having a normal distribution with mean 20,000 gallons and standard deviation of 4,000 gallons a. Determine the optimal beginning inventory at the start of this sea- son. b. If the producer currently has an inventory of 5,000 gallons (carried over from last winter), how many gallons must be produced this summer