mates in solving problems, but you must write up your solutions independently. Show
all your work for full credit.
1. For the two production functions below, identify (i) whether the function has
increasing, decreasing, or constant returns to scale and (ii) what the technical rate of
substitution is, and (iii) whether the technical rate of substitution is diminishing.
a. $f(x_1, x_2) = x_1 + 2x_2$
b. $f(x_1, x_2) = x_1 + \sqrt{x_2}$