Can anyone help me with this economics problem?

[dt11221]

Evaluate each of the following statements. If a statement is
true, explain why; if it is false, identify the mistake and try to
correct it.
a. A profit-maximizing firm should select the output level at
which the difference between the market price and marginal
cost is greatest.
b. An increase in fixed cost lowers the profit-maximizing
quantity of output produced in the short run.

[Homer J. Simpson]

Profits are maximized when MC=MR so a is false.

b is false because a change in fixed costs don't affect mardinal costs

[mikepruitt71]

Like I said you are not only confused but also uneducated!