Final answer:
An upward shift in the MC curve leads to a leftward shift in the supply schedule of a firm, which is contrary to the initial claim in the question.
Step-by-step explanation:
The statement given is False. In general, any factor that causes the marginal cost (MC) curve to shift upward will actually lead to a leftward shift in the supply schedule of a firm, not a rightward shift. An increase in the costs of production, which would shift the MC curve upward, means that the firm will produce less quantity at any given market price. This is because the firm's costs are higher, and it would not be profitable to supply as much as before at the same price levels. Conversely, if factors decrease costs, the MC curve would shift downward, and we would see a rightward shift in the supply curve since the firm would be able to produce more at the same price levels due to lower costs.