Impact Printing manufactures two types of computer paper from either premium or regular quality paper. They have a contract to supply at least 5,000 boxes of paper. There is only enough stock to make 4,000 boxes of premium paper , but there is ample stock for plain paper. Both types are made on the same machine and 1,200 hours of machine time are available. Premium paper takes 18 minutes per box to make and plain paper takes 12 minutes per box. The profit for each is $4/box and $3/box, respectively.

 Use the principles of linear programming to find the optimal solution.