Bearland Manufacturing produces 4 different types of wood paneling. Each type of paneling is made by gluing and pressing together a different mixture of pine and oak chips. The following table summarizes the required amount of gluing, pressing, and mixture of wood chips required to produce a pallet of 50 units of each type of paneling: Paneling Type Glue (quarts) Pressing (hours) Pine chips (pounds) Oak chips (pounds) MAX: Assume the company has 6,000 quarts of glue; 7,300 hours of pressing capacity; 30,000 pounds of pine chips; and 62,500 pounds of oak chips available in the next production cycle. Further assume that each pallet of Tahoe, Pacific, Savannah, and Aspen panels can be sold for profits of $500, $1,250, $450, and $800, respectively. Finally, for marketing purposes, the company wants to produce at least 4 pallets of each type of paneling. (Let X, X, X3, and X4 be the number of pallets of Tahoe, Pacific, Savannah, and Aspen paneling produced.) 1' (a) Formulate an LP model for this problem to maximize profit (in dollars). 500X + 150X+ 450X3 +800X Subject to: Glue (quarts) Pressing (hours) Pine chips (pounds) Oak chips (pounds) Tahoe (number pallets) Pacific (number pallets) Savannah (number pallets) Resources Required per Fet of Paneling Type Tahoe Pacific Aspen 50 50 100 50 150 100 200 400 300 500 750 250 Aspen (number pallets) Stivannah 50 50 500 500 X24 50X+50X +50X3+100X 6000 50X + 150X + 200X 7500 500X+400X+300X3+200X 30000 X x

Bearland Manufacturing produces 4 different types of wood paneling. Each type of paneling is made by gluing and pressing together a different mixture of pine and oak chips. The following table summarizes the required amount of gluing, pressing. and mixture of wood chips required to produce a pallet of 50 units of each type of paneling: Assume the company has 6,000 quarts of glue; 7,300 hours of pressing capacity; 30,000 pounds of pine chips; and 62,500 pounds of oak chips available in the next production cycle. Further assume that each pallet of Tahoe, Pacific, Savannah, and Aspen panels can be sold for profits of $500,$1,250,$450, and $800, respectively. Finally, for marketing purposes, the company wants to produce at least 4 pallets of each type of paneling. (Let x1,x2,x3, and x4 be the number of pallets of Tahoe, Pacific, Savannah, and Aspen paneling produced.)