14.9 You are given the following information about a drybatch paving operation.

Question

14.9 You are given the following information about a drybatch
paving operation. You are going to use one mixer that has
a service rate of 30 services per hour. The dry-batch trucks you
use for bringing concrete to the paver have an arrival rate of 7.5
arrivals per hour. Each truck carries 6 cubic yard of concrete.
You have a total amount of 13,500 cubic yard of concrete to
pour. You rent a truck at $15 per hour and the paver at $60 per
hour. If the job takes more than 80 hours, you pay a penalty of
$140 per hour owing to delays in job completion. On the basis of
least cost, determine the number of trucks you should use. Plot
the cost versus the number of trucks used.

Explanation / Answer

each truck carry 6 cubic yard of concrete.

and we have to fill 13500

if one truck can carry 6 cubic yard of concrete. then 7.5 trck will carry 45 cubic yard of concrete.

that means if 45 truck will fill the area then it will take 300 hrs where he have to pay 220 hr panlty which is $30800

besides that he can increas the number of trucks and cansafe his money.

for saving panlty he have to increase truck 2.5 times for saving his fine. 7.5*4=30 trucks per hour whic will carry

180 cubic yard concrete in one hour which means it will fill up the site in 75 hours and it will cost.

truck -33750

paver- 60 *30* 75= 135000

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