The Evergreen Products firm produces three types of pressed paneling from pine and spruce. The three types of paneling are Western (X1)Old English (X2), and Colonial (X3). Each sheet must be cut and pressed . Determine the number of each paneling should be produced to maximize profit .

Max 8 x1 + 8 x2 + 10 x3

Constraint 1: 5 x1 + 4 x2 + 4 x3 <= 200 Pine, lbs

Constraint 2: 2 x1 + 5 x2 + x3 <= 160 Spruce, lbs

Constraint 3: x1 + x2 + 2 x3 <= 50 Cutting, hr

Constraint 4: 2 x1 + 4 x2 + 2 x3 <= 80 pressing, hr

Constraint 5: x1 - x3 >=0 Mix

X1,X2, X3 >= 0

how many western paneling should be produced?

how many old english paneling should be produced?

how many old colonial paneling should be produced?

how much will be maximum profit?

how much profit will increase if additional 3 hrs of pressing hrs are available?