6. A firm produces output according to the production function Q=3K+6L 6.1. (5 points) How much is produced when K=2 and L=3? 6.2. (5 points) If the wage rate is $60 per hour and the rental rate is $20 per hour, what is the cost-minimizing input mix for producing 32 units of output? 6.3. (5 points) How does your answer to (b) change if the wage rate is $20 per hour and the rental rate is $20 per hour? 7. A firm's short-run total cost function is given by STC = 500 + 120Q - 2Q2 + ( 1/ 6)Q3. 7.1. (4 points) Write the equations for the firm's average fixed cost (AFC), marginal cost (MC), average variable cost (A VC), and average total cost (ATC). 7.2. (4 points) Determine the level of output Q at which marginal cost is minimized, and find the value of marginal cost at that level Q. 7.3. (4 points) Determine the level of output Q at which average variable cost is minimized, and find the value of average variable cost at that level Q.8. (12 points, 0.3 points each cell, 0.6 points completion bonus) Complete the following table (round your answers to the nearest whole number). Average Average variable fixed cost Variable Average total cost