1982-present US pennies, which weigh 2.5 grams, are 97.5% zinc and 2.5% copper (coated over the zinc) by weight and have a metallurgical value of 64.376% of the face value
So, while the production costs are more than 1 cent, the actual value of the metal inside is still below 1 cent.
That's why it's illegal to melt them down, and the US restricts exporting them.