Julio loves gardening. His favourite plants are tulips and hydrangeas. His utility function is: u(t, h) = r + 100h h2 where t is the number of tulips in his garden and h is the number of hydrangeas in his garden. Suppose he has 500 square feet for his garden. Each tulip takes 1 square foot of space, and each hydrangea takes up 4 square feet. He gets both kinds of plants for free. If he wanted to maximize his utility, how many tulips should he plant in his garden? what about hydrangeas