The ACME Sock Company's (ASC) production function is given by Q = 30K0.420.7, where K and L are ASC's annual capital and labor inputs, respectively, and Q is their annual output, measured in 1000s of pairs of socks. The prices per unit of capital and labor are pk = $2000 and pi= $4000, respectively. (a) (1 pt) The Lagrangian function for the problem of minimizing ASC's cost of producing 250,000 pairs of socks is [Select] (b) (3 pts) To minimize the cost of producing 150,000 pairs of socks, ASC should use K*- [ Select] units of capital and L* Select ] units of labor, and the resulting minimum cost is C*[Select] (c) (2 pts) ASC's marginal cost when cost is minimized is approximately [ Select , and the marginal cost is [Select] as the target output increases