Mango Skates has outlet stores in Gilroy and Newark. Their A-Line model is produced at factories in Akron and Birmingham. The cost of shipping a pair of A-line skates from Akron to Gilroy is $9; from Akron to Newark is $8; from Birmingham to Gilroy, $7; from Birmingham to Newark $5. Suppose that Gilroy outlet orders 120 pairs and Newark store ordered 90 pairs. The factory in Akron can produce 100 pairs in time for shipping and the factory in Birmingham can produce 150 pairs in time for shipping. Find the number of pairs shipped from each warehouse to each outlet to minimize the shipping costs. What is the Minimum shipping cost?