Harold Grey owns a small farm in the Salinas Valley that grows apricots. The apricots are dried on the premises and sold to a number of supermarket chains. Based on past experience and committed contracts, he estimates that sales over the next six months in packages will be as follows: 135, 150,140, 130, 155 and 130. The farm is to plan its workforce and production levels to satisfy monthly demand. Currently there are 12 workers employed in the farm and each one is responsible of producing 10 packages monthly which is constant. There isn't any inventory on hand at the beginning of planning period. Production of one package costs $20 by regular time. Inventory holding cost has been estimated to be $5 per package per month and cost of backordering to be $10 per package. Current production amount of the farm is under the estimated demand for over the next six months, therefore, Farmer Grey decided to hire seasonal workers to the farm to satisfy all its demand. His plan is to hiring temporary workers at 3 months which have highest demand. Based on the effort of training new workers, Farmer Grey estimates that it costs $100 for each new worker hired and each seasonal worker is able to produce 8 packages monthly. Backordering is allowed while satisfying demand. Overtime production and subcontracting are not available. Determine the required number of temporary workers and which months to hire to develop the aggregate plan, What is the cost of this plan