Mary’s utility function is U (b, c) = b + 100c ?c2, where b is the number of tomatoes in her garden and c is the number of onions. She has 500 square feet in her garden to allocate between tomatoes and onions. Tomatoes each take up 1 square foot and onions each take up 4 square feet. She gets both kinds of seeds free.
(a)To maximize her utility, given the size of her garden,
How many tomatoes and onions should Mary plant?