1. Solve each problem graphically by hand - checking your work with the graphing calculator. Be sure to label all parts of your graph (equations, tick marks, axes). (a) 6x-3y S12 x + 2y $10 2x+ y$14 (b) x20 1202. The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and half an hour to paint, and the economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours is 24 per day and the maximum number of painting hours available is 8 per day. (a) Write the system of inequalities that describes the constraints on the number of each type of wood chipper produced. Define all variables. (b) Graph the solution to the system of inequalities and find the corners of the solution region