At zero output, which of the following cost is undefined?
Answer & explanation
Correct answer: option 4
The correct answer is Option 4: all of the above
At zero output (Q = 0), we analyze the behavior of each cost function:
1️⃣ Short-Run Average Cost (SAC)
- SAC = TC / Q (Total Cost divided by output)
- Since Total Cost (TC) = TFC + TVC, and at Q = 0, TC = TFC (as TVC is zero), dividing by zero makes SAC undefined.
2️⃣ Short-Run Marginal Cost (SMC) = ΔTC / ΔQ
- Marginal cost measures the change in total cost when output increases.
- If output is zero, the change in output (ΔQ) is also zero, making SMC undefined.
3️⃣ Average Fixed Cost (AFC)
- AFC = TFC / Q
- TFC is positive even at zero output, and dividing by zero results in infinity, which means AFC is undefined.