4) A store expects to sell 18050 quarts of ice cream this year. To reorder the ice cream there is a fixed charge of $20 per shipment plus for each quart of ice cream it cost $3. It costs $0.80 to store one quart of ice cream for a year. Assume that the storage costs are calculated based on the average value number of quarts of ice cream in stock during the year. ( 10 points) a) Select the correct simplified total inventory cost equation i) IC(x)=x14440+20x+54150 ii) IC(x)=x361000+0.4x+54150 iii) IC(x)=x28880+23x+18050 b) How many quarts should they order in each shipment and how many orders need to be placed over the year to minimize the total inventory cost? Use calculus to solve this problem. You must verify your answer yields a minimum cost based on your domain. SHOW all work and put your answers in the spaces provided. Number of quarts per shipment Number of shipments per year Verification test over your domain (make sure to give your domain Domain is Test