A telephone switchboard 100 pair cable can be made up with either enameled wire or tinned wire. There will be 400 soldered connections. The cost of soldering a connection on the enameled wire will be P 1.65 on the tinned wire, it will be P 1.15. A 100- pair cable made up with enameled wire cost P 0.55 per linear foot and those made up of tinned wire cost P 0.75 per linear foot. Determine the length of cable run in feet so that the cost of each installation would be the same.
A. 1,000 feet
B. 1,040 feet
C. 1,100 feet
D. 1,120 feet
Answer: Option A
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Enameled wire:
Soldered = 1.65(400) = P 660
Tinned wire:
Soldered = 1.15(400) = P 460
Let X be length
Cost of Enn. = Cost of Tin
0.55x + 660 = 0.75x + 460
x = 1000 ft
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A telephone switchboard 100-pair cable can be made up either enameled wire or tinned wire. There will be 400 soldered connections. The cost of soldering a connection on the enameled wire will be P1.65, on the tinned wire it will be P1.15. A 100-pair cable made up with enameled wire cost P0.22 per linear foot and those made up of tinned wire cost P0.75 per linear foot. Determine the length of cable run in feet so that the cost of each installation would be the same
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