Answer the following questions by mentioning whether they are true or false (True/False). And don't forget to give a small explanation on why it is true or false.

1- The profit-maximizing level of output for a firm is the point on the production function where the nonprofit curve

is tangent to.

2- If the production function is f(x, y) = min{x, y}, then there are constant returns to scale.

3- If the production function is f(x1, x2) = x1x2, then there are constant returns to scale, and the isoquant describing this technology is a straight line.

4- The production function f(x, y) = x^2/3+y^2/3 has increasing returns to scale.

5- The production function f(x, y) = x + y has constant returns to scale, and the isoquant describing this technology

is L-shaped.