1. (Linear Programming: basic formulation and graphical solution) A wood product firm uses available time at the end of each week to make goods for stock. Currently, two products on the list of items are produced for stock: a chopping board and a knife holder. Both items require three operations: cutting, gluing, and finishing. The manager of the firm has collected the following data on these products: Item Profit per unit Cutting (minutes) Gluing (minutes) Finishing (minutes) Chopping board $2 1.4 5 12 Knife holder $6 0.8 13 3 The manager has also decided that, during each week, 56 minutes are available for cutting, 650 minutes are available for gluing, and 360 minutes are available for finishing. a) Formulate it as a linear programming problem. b) Solve the LP using the graphical method. You are required to show the feasible solution space, the corner solutions, and the optimal solution. c) Solve the LP again using Excel Solver. Note: complete this question in the same file of Question 2- (b), and then upload it to Canvas; that is, you can upload a document (Word or PDF) for your written answers to all questions, as well as a separate Excel file for questions that require Excel Solver.