Question: Liva's Lumber produces 3 grades of plywood - Marine, Deluxe, and Economy. Each grade must go through three operations - planning, gluing, and sanding. Marine grade requires 3 hours of planning, 9 hours for gluing and 7 hours of sanding for each piece. Deluxe takes 6 hours for planning and 7 hours of gluing. Economy uses 2 hours for gluing and 4 hours for planning. Sanding time for Deluxe grade is 6 hours and for Economy it is 3 hours.

Currently, Liva's has 1100 hours of planning time, 1200 hours of gluing tiMeand 800 hours of sanding time available. Profit on a sheet of Marine grade is $35, on Deluxe $25 and on Economy profit is $15. How many pieces of each grade should Liva's make to maximize profit?

a) Set up the problem in standard form with documentation.

b) Write the initial simplex matrix.