1. The government of Grenada wishes to rebuild the West coast road that leads to the north of the island to help alleviate traffic congestion and to provide users with a safer road network. The government of Grenada has approached two (2) contractors for an estimate. They are required to submit a proposal that details the cost combination of labour (L), machinery (M), and technology (T) in achieving their expected total cost, total profit, and total revenue. Contractor 1 Two labour, four machinery, and three technology will result in a total cost of thirty-three dollars. While one labour, two machinery, and one technology give a total profit of fifteen dollars. Lastly, ten labour, five machinery, and six technologies result in total revenue of eighty-three dollars. Contractor 2 No Proposal was submitted. a) From Contractor 1's proposal, derive three (3) simultaneous equations. [3 marks] b) From the answer to part a) above, set these equations in matrix form [2 marks] c) Given that the government of Grenada only received one proposal, should the contract be awarded to Contractor 1? Give reason(s) for your answer. [2 marks] d) Give three (3) reasons why you believe Contractor 2 never submitted a proposal? [3 marks] e) After setting the equations in matrix form from part b) above, calculate all the cofactors of Matrix A. [9 marks] f) Which of the three resources do you expect Contractor 1 to price the most? Give two (2) reasons for your answer. [2 marks] g) Hence or otherwise, determine the price of Contractor 1's labour, machinery and technology. [9 marks]