The following questions are taken from solved examples in your lecture notes. Please, replicate the solutions by solving the questions using excel. 1. Let L1 be a line that passes through the points (2,9) and (1,3), and let L2 be the line that passes through the points (4, 10) and (3,4). Determine whether L1 and L2 are parallel 2. Find an equation of the line that passes through the point (3,1) and is perpendicular to the line 2xy+1=0. Draw the graph of both of the equations reflecting the perpendicular relationship. 3. Sketch the straight line represented by the equation 3x4y12=0 4. The management of Robertson Controls must decide between two manufacturing processes for its model C electronic thermostat. 5. The monthly cost of the first process is given by C1(x)=20x+10,000 dollars, where x is the number of thermostats produced; the monthly cost of the second process is given by C2(x)=10x+30,000 dollars. If the projected monthly sales are 800 thermostats at a unit price of $40, which process should management choose in order to maximize the company's profit? Use excel to draw the cost and revenue functions and show the intersection point for the break-even analyses