$6.$ James Inc. makes t$-$shirts using automated equipment. Their capacity is $1200$ t$-$shirts each quarter using regular time, $150$ using overtime, and $600$ using subcontracting. They start out with $100$ t$-$shirts in inventory. Demand is $1250$ for Q$1,1650$ for Q$2,2250$ for Q$3,$ and $2000$ for Q$4.$ Regular time cost per unit, is $$50,$ overtime is $$65,$ subcontracting is $$80,$ carrying cost for inventory is $$1$ per quarter, and back order cost per period is $$4.$ What is the low cost plan?