The correct answer is: D. All of the above
The marginal cost (MC) curve cuts the average variable cost (AVC) curve and the average cost (AC) curve at their minimum points. This is because the MC curve represents the additional cost of producing one more unit of output, while the AVC and AC curves represent the average cost of producing all units of output. When the MC curve is below the AVC and AC curves, it means that producing one more unit of output will lower the average cost of production. However, when the MC curve is above the AVC and AC curves, it means that producing one more unit of output will increase the average cost of production. The MC curve will intersect the AVC and AC curves at their minimum points because at these points, the MC curve is equal to the AVC and AC curves.
Here is a diagram that illustrates this concept:
[Diagram of MC, AVC, and AC curves]
The MC curve intersects the AVC curve at point A, which is the minimum point of the AVC curve. The MC curve intersects the AC curve at point B, which is the minimum point of the AC curve.
I hope this explanation is helpful! Let me know if you have any other questions.