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Question 1 Tshwane Municipality has appointed a consulting firm (Gaborena Consulting Engineers and Project Managers Pty (Ltd) to do an analysis on two nearby quarries

Question 1 Tshwane Municipality has appointed a consulting firm (Gaborena Consulting Engineers and Project Managers Pty (Ltd) to do an analysis on two nearby quarries in Gauteng. You are part of the company and have been placed on site as a Resident Engineer to oversee a roads construction. The aggregate material requirement for constructing the selected subgrade and subbase layers include 5000 cubic meters of G7 and 7100 cubic meters of G3, respectively. The two nearby quarries offer to mine and deliver pavement materials but with the following compositions for quarry lift: Quarry A consists of 55% G7 and 45% G3 Quarry B consists of 35% G7 and 65% G3 1.1 Generate a system of equations to represent the relationship of materials needed at the construction site and the delivery options by the two quarries. (6) 1.2 Use Jacobi Method to calculate the lifts you request from each quarry. Do four (4) iterations and assume an initial value of (3000 G7, 8000 G3). Give answers to 1 decimal point. (14) 1.3 Do the calculations in Q1.2 by using Gauss Jordan elimination method. (10) 1.4 What is the aim of the elimination process in the Gaussian Jordan Method? (3) 1.5 Explain if the answer obtained in Q1.3 an exact solution or if the solution is an estimation. (3) 1.6 Use the results of Q1.3 to find the absolute and relative error related to the result of the fourth iteration in Q1.2 (8)

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