A friend of mine works in film, so I know the ballpark costs from conversations with him. You can find production costs for films on the net fairly easily.

Puss in Boots, for example was $130 million and Kung Fu Panda 2 was around $150 million. So you're looking at 1.25m to 1.5m per minute.

While original Shrek had $60M budget, which meant $666k per minute, the sequel took $150M to produce, which meant $1.66M per minute.