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A new highway is to be constructed. Design A calls for aconcrete pavement costing?$90 per foot with a20?-year? life;four paved ditches costing ?$5 per foot?each; and four box culverts every? mile, each costing ?$9,000 andhaving a 20?-year life. Annual maintenance will cost ?$1,700 per?mile; the culverts must be cleaned every five years at a costof?$350 each per mile. Design B calls for a bituminous pavementcosting ?$45 per foot with a 10-year ?life;four sodded ditchescosting ?$1.65 per foot? each; and three pipe culverts every? mile,each costing ?$2,100 and having a 10?-year life. The replacementculverts will cost ?$2,400 each. Annual maintenance will cost?$2,600 per? mile; the culverts must be cleaned yearly at a cost of?$225 each per? mile; and the annual ditch maintenance will cost?$1.45 per foot per ditch. Compare the two designs on the basis ofequivalent worth per mile for a 20?-year period. Find the mosteconomical design on the basis of AW and PW if the MARR is 6?%peryear.
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