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The company has two central manufacturing facilities, in Michigan and Texas. Michigan's capacity is 45,000 units, while Texas's capacity is 20,000 units. Both facilities send their products to regional distribution centers in Utah, Kentucky, and South Carolina, which each have a capacity of 22,000. The distribution centers are the only locations that can send products directly to supply houses in Arizona, California, Washington, Florida, and Massachusetts, where 12,000 units, 15,000 units, 9,000 units, 16,000 units, and 11,000 units of product have been ordered, respectively. The costs to send each product from Michigan to Utah, Kentucky, and South Carolina are $7, $2, and $5, respectively. The costs to send each product from Texas to Utah, Kentucky, and South Carolina are $5, S6, and $8, respectively. To ship each product from Utah to Arizona, California, Washington, Florida, and Massachusetts, it will cost $2, $2, $4, $7, and $9, respectively. From Kentucky, it costs $6, $8, $8, $4, and $5 to ship to Arizona, California, Washington, Florida, and Massachusetts, for each product respectively. From South Carolina, it will cost $8, 59, $10, $2, and $5 to ship to Arizona, California, Washington, Florida, and Massachusetts, for each product respectively. Write the linear program.