The NEC Company makes two cheese spreads by blending mild cheddar cheese with extra sharp cheddar cheese. The cheese spreads are packaged in 12-ounce containers, which are then sold to distributors. The regular blend contains 75% mild cheddar and 25% extra sharp, and the Zesty blend contains 55% mild cheddar and 45% extra sharp. A local dairy company offers to provide up to 8000 pounds of mild cheddar cheese for $1.30 per pound and up to 3500 pounds of extra sharp cheddar for $1.50 per pound. The cost to blend and package the cheese spreads, excluding the cost of cheese, is $0.30 per container. If each container of Regular is sold at $2.15 and each container of Zesty is sold for $2.35
(a) how many containers of Regular and Zesty should NEC produce?
(b) What is the optimal profit?