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3. (25 points) Each summer the Peachy Keen Co. cans peaches at its cannery in Walla Walla, WA. Peachy keen has contracted with local growers to buy their harvests week by week as the growers harvest them. Peaches start to be harvested in June, reach a peak in the last week of July, and all harvesting is done before the end of August. It costs Peachy keen $100,000 per week to operate a production shift; up to two shifts per day may be operated in any week. A shift can only be started up at the beginning of a week. Each shift has the capacity to can up to 12,000 cases per week. Peaches that have been harvested but were not canned in the week harvested require cold storage until the week scheduled for canning, at a cost of $20 per case per week. The harvest volumes for Peachy Keen's growers this year have been estimated by agricultural experts as follows: 1* week of June - 0 2nd week of June - 2,000 cases 3rd week of June - 5,000 cases 4th week of June - 10,000 cases 1* week of July - 15,000 cases 2nd week of July - 15,000 cases 3rd week of July - 20,000 cases 4 week of July - 25,000 cases 5th week of July - 25,000 case 1" week of August - 15,000 cases 2nd week of August - 10,000 cases 3rd week of August - 4,000 cases 4th week of August - 2,000 cases (a) (18 points) Prepare an efficient production plan for Peachy Keen