Using manual solution and TORA program to solve the following: 1. Suppose a company produces two types of widgets, manual and electric. Each requires in its manufacture the use of three machines, A, B, and C. A manual widget requires the use of the machine A for 3 hours, machine B for 1 hour, and machine C for 1 hour. An electric widget requires 1 hour on A, 2 hours on B, and 1 hour on C. Furthermore, suppose the maximum numbers of hours available per month for the use of machines A, B, and Care 190, 170, and 110, respectively. The profit on a manual widget is $4 and on electric widget it is $6. If the company can sell all the widgets it can produce, how many of each type should it make in order to maximize the monthly profit? Using Graphical method to : Determine optimum solution. Determine the status of each resource. Determine the unit worth of each resource if the (RHS) of these constraints increase should not more than one hour. Determine the maximum change in the marginal profit. Model: Maximize = = 2 X+3.X2 Subjected to: 2 x1 + x2 54 (resource 1) *y+2x2 55 (resource 2) Find the optimum solution using the Simplex Method X, X230