Office2000 produces expensive, quality 2-drawer and 4-drawer filing cabinets from solid oak for major corporations. a 2-drawer model utilizes 2 labor hours to produce and package for a net profit of $75. the 4-drawer model utilizes 3 labor hours to produce and package, and nets a profit of $125. each month office2000 has 360 labor hours available and can obtain up to 200 2-drawer frames, 200 4-drawer frames, and 400 drawers from its oak supplier. assuming that the company is interested in the total profit from the products made, answer the following: formulate a linear programming model to maximize monthly profit from the manufacture of filing cabinets at office2000.