6. 7 Estimate the total direct cost and cost per 1,000 bf of lumber for transpor

Question

6.7 Estimate the total direct cost and cost per 1,000 bf of lumber for transporting 70,000 bf of lumber from the lumberyard to a jobsite, which is 18 miles from the yard. Each truck can haul 3,000 bf per load and can average 40 mi./hr loaded and 45 mi./hr empty. Assume $55.00/hr for a truck with a driver.

                   Two laborers will load lumber onto the truck at the yard and another 2 laborers will unload the truck and stack the lumber at the job. Each laborer can handle 1,200 bf/hr. Assume laborers cost $21.00/hr. Assume a 50 min. effective hour and determine the cost per 1,000 bf of lumber based on using the economical number of trucks.

Explanation / Answer

Assuming if there is only one truck,

while loading 2 laborers can load a truck in 1.5 hr,(since for each laborer 50min .effective hour) with 3000 bf

truck will take 0.45hr to reach jobsite and it will take 0.40hr to reach lumberyard

Therefore for each truck and for each trip it will take 3.85 hr (1.5hr +0.45hr + 1.5hr + 0.40hr )

To transport 70,000 bf lumber 24(approx) number of trips is needed

assuming laborer will work 9hrs a day,6 trips of lumber can be transported per day

by providing 3 number of trucks economy is achieved because each truck loading takes 1.5hr

therefore direct cost of transporting lumber =(3 x 55 x 9 x 4 )+ (4 x 4 x 9 x21 )= 8964 $

(first term is related to truck and driver,second part is related to laborers)

cost per 1000 bf of lumber = (8964 x 1000)/70000 = 128.05$

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