Engr. Janry Garcia and Engr. Caroline Moncada is working on a project for a newly constructed 4-story building. The project is regarding CCTV installation. As project engineers, they need to assess and make an inventory of the primary materials to be installed in the building. The following primary materials give the merchandise with its corresponding price list. C=CCTV Camera worth P5000 each; W=Cable wires P100 per meter; S=Splitters worth P50 each and B=Balun and Connectors for P150. Each of the materials should be distributed depending on the number of units per floor. For the 1st floor: twice the number of CCTV cameras is needed, three times the length of cable wire is required, four times the number of splitters and five times the number of baluns and connectors less is necessary, which gives an acceptable loss of -60dB. For the 2nd floor: 6 times the number of CCTV cameras are required, seven times the length of cable wire is needed, eight times the number of splitters less and nine times the number of baluns and connectors is necessary resulting in a good gain of 96dB. For the 3rd floor: 10 times the number of CCTV cameras are needed, 11 times the length of cable wire is necessary, 12 times the number of splitters, and 13 times the number of baluns and connectors is required resulting in a good gain of 3120 dB. On the last floor: 14 times the number of CCTV cameras are needed, 15 times the length of cable wire is necessary, 16 times the number of splitters and 17 times the number of baluns and connectors less is required resulting in a good gain of 4160dB. Formulate the equations for each floor and solve the number of materials needed for the whole project using Gauss-Jordan Elimination. How much is the total cost of the project?

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ISBN:9780470458365
Author:Erwin Kreyszig
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Engr. Janry Garcia and Engr. Caroline Moncada is working on a project for a newly constructed 4-story building. The project is regarding CCTV installation. As project engineers, they need to assess and make an inventory of the primary materials to be installed in the building. The following primary materials give the merchandise with its corresponding price list. C=CCTV Camera worth P5000 each; W=Cable wires P100 per meter; S=Splitters worth P50 each and B=Balun and Connectors for P150. Each of the materials should be distributed depending on the number of units per floor. For the 1st floor: twice the number of CCTV cameras is needed, three times the length of cable wire is required, four times the number of splitters and five times the number of baluns and connectors less is necessary, which gives an acceptable loss of -60dB. For the 2nd floor: 6 times the number of CCTV cameras are required, seven times the length of cable wire is needed, eight times the number of splitters less and nine times the number of baluns and connectors is necessary resulting in a good gain of 96dB. For the 3rd floor: 10 times the number of CCTV cameras are needed, 11 times the length of cable wire is necessary, 12 times the number of splitters, and 13 times the number of baluns and connectors is required resulting in a good gain of 3120 dB. On the last floor: 14 times the number of CCTV cameras are needed, 15 times the length of cable wire is necessary, 16 times the number of splitters and 17 times the number of baluns and connectors less is required resulting in a good gain of 4160dB. Formulate the equations for each floor and solve the number of materials needed for the whole project using Gauss-Jordan Elimination. How much is the total cost of the project?

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