- #1
Tido611
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A constructiuon company has been offered to build-operate contract for 7.8million to construct and operate a trucking route for five years to transport ore from a mine site to a smelter. the smelteris located down a major highway and the mine is 3km into the bush off the highway. the smelter is 10 km down the highway from the mine side road.
costs
to upgrade highway(repave)will be $200000/km
new gravel from mine to highway is $500000/km
operating costs
100 return trips each day for 300 days for the five years
to drive on the gravel road it will be $65/h and average speed of 40km/h
to drive on the highway it will be $50/h and average speed of 70km/h
use calculus to determine if the company will accept the contract and the distances of paved and gravel road producing optimumconditions(max profit). what is the maximum profit? do not consider the time value of money in your claculations.
^^^^that was the hole question^^^^^^
ok so all i have so far is the start of an equation to figure out the total cost . and once i have that i would differentiate that and find at what value x=0 to find best conditions.right...?
i will enter all the work i have later when i get home cause I am still workin on it and my school comps are not that fast so i will wait if there is any helpful instie that anybody can offer it would be greatlt appretiated.
costs
to upgrade highway(repave)will be $200000/km
new gravel from mine to highway is $500000/km
operating costs
100 return trips each day for 300 days for the five years
to drive on the gravel road it will be $65/h and average speed of 40km/h
to drive on the highway it will be $50/h and average speed of 70km/h
use calculus to determine if the company will accept the contract and the distances of paved and gravel road producing optimumconditions(max profit). what is the maximum profit? do not consider the time value of money in your claculations.
^^^^that was the hole question^^^^^^
ok so all i have so far is the start of an equation to figure out the total cost . and once i have that i would differentiate that and find at what value x=0 to find best conditions.right...?
i will enter all the work i have later when i get home cause I am still workin on it and my school comps are not that fast so i will wait if there is any helpful instie that anybody can offer it would be greatlt appretiated.