Figure 1 below shows a mass-spring system of the type used to model vehicle suspension systems. Each spring exert a force that is proportional to its compression. The proportionality constant is the spring constant, k. The two side springs provide additional resistance if the weight, W, is too heavy for the center spring. When the weight, w, is gently placed on the platform, it moves through a distance, x, before coming to rest. From statics, the gravitational force of the weight must balance the force provided by all the springs that are compressed at this equilibrium position. Thus rite a MATLAB script that, given the weight, w, computes the distance, x, the platform travels in the scale system shown in Figure 1. Have your script query the user for input parameters d, or hardwire these values into your script, est your program by calculating the platform deflection for two different 5 lb and 800 lb. Use the spring constants (ki, ka) and offset distance (d) given in Figure 1 below. Create a flowchart for your script and submit it with your solution