Rocco's Pasta Bar Makes Manicotti According to an Old Family

Multiple Choice

Rocco's Pasta Bar makes manicotti according to an old family recipe which states M = min{3/2C, 3P}, where M, C, and P are pounds of manicotti, cheese, and pasta respectively.If cheese costs $3 per pound and pasta costs $1 per pound, how much would it cost to produce 10 pounds of manicotti in the cheapest way possible?

A) $3.33
B) $20
C) $23.33
D) $35
E) $10