Question

2. A civil engineer involved in construction requires 4800, 5800, and 5700 m2 of sand, fine gravel, and coarse gravel, respectively, for a building project. There are three pits from which these materials can be obtained as shown in the following table: Pits Sand Fine Gravel Coarse Gravel % % % 52 30 18 2 20 50 30 3 25 20 55 Use the matrix inverse algorithm based on Gauss Jordan method to determine how many cubic meters must be hauled from each pit in order to meet the engineer's needs? a. [5 marks Based on the results of part (a), if the civil engineer hauled 1000 cubic meters more from pit b. 2, how much will be the new total of sand available to him? [1 mark]

Answer 1

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F ind Let AT CMauA Method -Jondan B1 2 o S 2 2 S O 3 o 2 o S S 1 2 30 5 2 R3 18 R 52 R 2 30RI 7 a phky we R 2 R3 ond both we 52 2 0 2 S 52 O 3 2.9o 2o00 S 2 241 200 3R2 R3 R2 2 S 2 o A 30 290 S2 C 2000 O 11180 -IS6 26

2 0 R3 R, 11180 R2- Now 2 S 2 o S 2 26600 33 5400 22 360000 A IS6 260 0 3 R2 By 22 36000o 1 2 S S 2 2 o C O - 75400 - 33 54o0 A 22 360000 22360 o00 22 36000o O O 26 (20Ryt 2TR) R than R,- S 2 B: ES -/1.0 S 2 A 241/.0/16 o. 122 50 43 /19.2.0 tg0000 /2920 306650/43 2 241/e 3/200 /260 Stoo00 222000/43 43 6 L1