# Engineering Mathematics

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Engineering Mathematics
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A new highway is to be constructed. Design A calls for a concrete pavement costing ​\$7575
per foot with a 1212​-year
​life; twotwo
paved ditches costing ​\$44
per foot​ each; and threethree
box culverts every​ mile, each costing ​\$7 comma 0007,000
and having a 1212​-year
life. Annual maintenance will cost ​\$1 comma 7001,700
per​ mile; the culverts must be cleaned every threethree
years at a cost of ​\$300300
each per mile.

Design B calls for a bituminous pavement costing ​\$4040
per foot with a 66​-year
​life; twotwo
sodded ditches costing ​\$1.551.55
per foot​ each; and twotwo
pipe culverts every​ mile, each costing ​\$2 comma 1502,150
and having a 66​-year
life. The replacement culverts will cost ​\$2 comma 3502,350
each. Annual maintenance will cost ​\$2 comma 7002,700
per​ mile; the culverts must be cleaned yearly at a cost of ​\$235235
each per​ mile; and the annual ditch maintenance will cost ​\$1.701.70
per foot per ditch.

Compare the two designs on the basis of equivalent worth per mile for a 1212​-year
period. Find the most economical design on the basis of AW and PW if the MARR is 1010​%
per year.