Final answer:
The total fixed cost function for the firm is 0.
Step-by-step explanation:
The total fixed cost function can be determined by finding the fixed cost when no labor is used. In this case, since the level of capital is fixed at 1 unit, the production function becomes:
Q = 4(1)0.5 L0.5
By setting L = 0, we can find the total fixed cost as:
Total fixed cost = Q - variable cost = Q - (PL * L)
Total fixed cost = 4(1)0.5 * 0 - (32 * 0) = 0
Therefore, the total fixed cost function is 0.