Does the distance the debris is moved affect optimal loading

Assignment Help Civil Engineering

Reference no: EM13316288

A contractor has a fleet of dump trucks for moving construction debris. The cost of running this fleet is $325/hr per truck. For a given contract, a total of 2,500 tons must be removed from one construction site and moved to another location 35 miles away. The average round-trip truck speed diminishes with its load by the equation: S = 40 - 1.75*L, where L is the truckload (in tons) and S is the truck speed (in mph). Time is also required for loading trucks. The time required to load a truck is given by F = 0.3*(L^0.5), where F is in hours.

(a) Develop a cost function for the total cost of removing the debris as a function of each truck's load.

(b) Using calculus, find the individual truckload, which minimizes the contractor's total cost for removing the debris. What is the total cost? (Be sure your solution is a minimum!)

(c) Does the distance the debris is moved affect this optimal loading? Does it affect the total cost? Justify your answer.

(d) How is this optimal loading changed if the maximum truck speed is changed from 35 to 45 mph or to 25 mph? What would these changes do to the cost of this particular job?

Reference no: EM13316288

Questions Cloud

When all the available factors of production are : In order for Ireland to grow more potatos, wool production must decrease. If wool and potatoes were the only two goods Ireland could produce, this situation is an example of

What are the reactions-shear forces and bending moments : If you have 10 kips acting downward on a foundation and footing, 4 feet long, with uniformly distributed load acting up ward of 2.5 k/ft (soil) also 4 ft long. what are the reactions, shear forces, and bending moments at the tree critical points

Find the carts acceleration and mass : In an experiment using an inclined track with a dynamics cart, the computer failed, find the cart's acceleration, mass, and the tension in the string connecting the cart to the accelerating 50g mass

The discipline of economis primarily concerns itself with : On the production possibilities frontier graph, the closer the economy's production is to the origin of the graph and the farther away it is from the PPF,

Does the distance the debris is moved affect optimal loading : The cost of running this fleet is $325/hr per truck. For a given contract, a total of 2,500 tons must be removed from one construction site and moved to another location 35 miles away.

What are the major differences between capitalism communism : What are the major differences between capitalism, communism, and socialism? B. Discuss the three major economic indicators and how they are indicative of our current economic climate.

Brief description of the high level product functions : Hot food must be delivered as soon as possible after being ready. Food is prepared, generally, first in first out though if one order will take a while to prepare, other orders can be moved ahead.

What is the average induced emf : A 45 cm diameter circular loop of wire is in a 0.525 T magnetic field oriented perpendicular to the plane of the loop. what is the average induced emf

The effect of higher cigarette taxes on the quantity of : Briefly explain whether each of the following is primarily a microeconomic issue or a macroeconomic issue. a. The effect of higher cigarette taxes on the quantity of cigarettes sold

User Account

All Pages