Red Bookstore wants to ship books from its warehouses in Brooklyn and Queens to
ID: 2879652 • Letter: R
Question
Red Bookstore wants to ship books from its warehouses in Brooklyn and Queens to its stores, one on Long Island and one in Manhattan. Its warehouse in Brooklyn has 1,000 books and its warehouse in Queens has 2,000. Each store orders 1,500 books. It costs S5 to ship each book from Brooklyn to Long Island and SI to ship each book from Brooklyn to Manhattan. It costs S4 to ship each book from Queens to Long Island and $2 to ship each book from Queens to Manhattan. If Red has a transportation budget of $8,420 and is willing to spend all of it, how many books should Red ship from each warehouse to each store in order to fill all the orders? (Assume Red spends the entire transportation budget.)Explanation / Answer
let red ships x books from Brroklyn to long Island
hence he ships (1000-x) books from Brroklyn to Manhatten
let red ships y books from Queens to long Island
hence he ships (2000-y) books from Queens to Manhatten
as long island have requirement of 1500 books
hence x+y =1500 .............(1)
also total transportation budget is 8420
hence total transport
5x+1(1000-x) +4y+2(2000-y) =8420
4x+2y =3420
2x+y =1710................(2)
solving eq(1) and eq(2)
x=210
y=1290
hence brookly to long islnad -- 210 books
brookly to Manhatten -- 790 books
hence Queens to long islnad -- 1290 books
Queens to Manhatten -- 710 books
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