5. Using LINGO, solve the following LP. Upload the file titled lastnameLP a. What are the optimal values of each decision variable? b. What is the optimal value of Z? c. If the right hand side of the constraint x1 + 2x3 <= 1 was to have a value of 3 instead of 1, what would the new value of z become? Maximize Z = x1 + 2x2 + x3 + x4 subject to x1 + 2x2 + x3 2 x2 + x4 1 x1 + 2x3 1 and x1 0, x2 0, x3 0, x4 0