Suppose A = 50 anda = for the production function Q = A K^a L^1-a.

[a] Find total output when K = 6 units and labor inputs are 1 to 6.

[b] Find the total cost associated with producing the outputs found in [a] when the cost of capital is $20 a unit and the cost of labor is $30 a unit.

[c] Find the total fixed costs and total variable costs associated with producing the outputs in [a].

[d] Find the average fixed costs, the average variable costs and the average total costs associated with producing the outputs in [a].

[e] What is the relationship of marginal costs to average total costs for these outputs?