A greeting card manufacturer has 450 boxes of a particular card in warehouse I and 310 boxes of the same card in warehouse II. A greeting card shop in San Jose orders 400 boxes of the​ card, and another shop in Memphis orders 250 boxes. The shipping costs per box to these shops from the two warehouses are shown in the table. How many boxes should be shipped to each city from each warehouse to minimize shipping​ costs? What is the minimum​ cost? (Hint: Use​ x, 400 - x, ​y, and 250 - y as the​ variables.)
DESTINATION
San Jose Memphis
Warehouse I ​$0.25 $0.24
Warehouse II ​$0.23 ​$0.20

From warehouse I, ___ box(es) to San Jose and ___ box(es) to Memphis, and from warehouse II, ship ___ box(es) to San Jose and ___ box(es) to Memphis, for a minimum cost of $____