A.) ) Formulate the above as a Linear Programming problem & Solve it Graphically using the Corner Point Method?

Louis Payton Company produces two basic types of plastic pipe. Three resources are crucial to the production: extrusion hours, packaging hours, and a special additive to the plastic raw material. The following data represent next week's situation. The profit per unit is $34 for type 1 and $40 for type 2 . The company wants to determine how much of each type of pipe should be produced to maximize the total profits. Formulate the above problem as a Linear Programming problem with the objective of maximizing profit? Do not Solve. Sidneyville manufactures household and commercial furnishings. The Office Division produces two types of desks, rolltop and regular. Sidneyville constructs the desks in its plant outside Medford, Oregon from a selection of woods. The woods are cut to a uniform thickness of one inch. For this reason, one measures the wood in units of square feet. One rolltop desk requires 10 square feet of pine, 4 square feet of cedar, and 15 square feet of maple. One regular desk requires 20 square feet of pine, 16 square feet of cedar, and 10 square feet of maple. The desks yield respectively $115 and $90 profit per sale. At the current time, the firm has available 200 square feet of pine, 128 square feet of cedar, and 220 square feet of maple. They have backlogged orders for both desks, and would like to produce the number of rolltop and regular desks that would maximize profit