Related to the Economics in Practice: The Long$-$Run Average Cost Curve: Flat or U$-$Shaped?

Do you agree or disagree with the following statements?

A firm will never sell its product for less than it costs to produce it$.$

A$.$ Disagree: The firm should produce in the short run if price is greater than average variable cost.

B$.$ Disagree: The firm should produce in the short run if total revenue is greater than fixed costs.

C$.$ Disagree: The firm should produce in the short run if price is greater than marginal cost.

D$.$ Disagree: The firm should produce in the long run if price is greater than average variable cost.

E$.$ Agree.