2. Please provide clear and concice answers with clear indication of the part of each question (subques- tion) you are answering. Please include your code and its outputs in your .pdf document with your asnwers, under the corresponding subquestion heading, making sure it clearly corresponds to that answer heading. 3. .ip files of your LPSolve programs must also be included in your submission pack 4. .txt files with the outputs/solution of LPSolve for each of your programs. Again this is in addition to including these in the main .pdf document Question 7 Consider the following linear program (LP): Minimise: Subject to: + 2x2 16 0 21 21 Answer the following questions: 1. Solve the problem graphically. 2. Write down the dual problem of the above LP. 3. Find the dual values using complementary slackness. 4. If the right hand side of constraint 1 changes to 14, how would the optimal solution change? Show your working 5. If the right hand side of constraint 2 changes to 7, how would the optimal solution change Show your working. 6. What are the sensitivity limits (lower and upper) of the right hand side of constraint 3? Show your working 7. What are the upper and lower limits for sensitivity analysis of the coefficient of 3) in the objective function? Show your working. [15 marks)