Antonio has $5.00 to spend on a lunch consisting of hamburgers ($1.50 each) and french fries ($1.00 per order). Antonio’s satisfaction from eating x₁ hamburgers and x₂ orders of french fries is measured by a function U(x₁, x₂) = √x₁x₂. How much of each type of food should he purchase tomaximize his satisfaction? (Assume that fractional amounts of each food can be purchased.)