SECTION B...35 marks Instruction: Answer ALL questions. Q working must be CLEARLY shown. 1. In an effort to strengthen social outreach, Olympic Construction has offered to create a series of fun- lled play areas in all of the communities in Grand Turk. The following table outlines three of the most essential material needed to make the task possible Labour (hours) Wood (blocks) Paint (tins) playhouse 12 10 6 swing] 8 4 2 Labour costs $20 per hour. wood costs $30 per block and paint costs $10 per tin. With the use of matrix multiplication: (i). Calculate the unit cost of each playhouse and swing. (5 marks) (ii) If Olympic Constmction is set to build 40 playhouses and 30 swings, calculate the overall cost of the project, (3 marks) UM 6 2 4 6 2. Determine the inverse of the matrix A = 7. 3 4 _ [10 marks) 3 4 5 3. To raise funds for their annual retreat the 4'h year business students had a 3 day campus sale of Tshirts, ties and string bags. 0n the first day, they sold 3 T-shirts, 5 ties and 4 string-bags for a total of $340. On the second day, they sold 12 T-shirts, 7 ties and 10 stringbags for a total of $660. 011 the third day, they sold IO T-shirts, 4 ties and S string-bags for a total of $380. (1). Write the given information for the 3 day campus sale in the matrix form AX = B. (2 marks) (ii). Use a matrix method to determine the unit cost of each item sold. (15 marks)