A firm uses 4 inputs to produce 1 output. The production function is f(x1, x2, x3, x4) =

min{x1, x2} + min{x3, x4}.

(a) What is the vector of conditional factor demands to produce 1 unit of output

when the factor price vector is w = (1, 2, 3, 4).

(b) What is the cost function?

(c) what kind of returns to scale does this technology represent

(d) Another firm has a production function f(x1, x2, x3, x4) = min{x1 + x2, x3 + x4}. What is the vector of conditional factor demands to produce 1 unit of output when prices are w = (1, 2, 3, 4).

(e) What is the cost function for this firm?

(f) What kind of returns to scale does this technology represent?