What point on the shoreline should be selected to minimize

Assignment Help Mathematics
Reference no: EM13181555

A Company needs to run an oil pipeline from an oilrig 25 miles out to sea to a storage tank that is 5 miles inland. The shoreline runs east-west and the tank is 8 miles east of the rig. Assume it costs $50 thousand dollars per mile to construct the pipeline underwater and $20 thousand dollars per mile to construct the pipeline on land. The pipeline will be built in a straight line from the rig to a selected point on the shoreline, then in a straight line to the storage tank. What point on the shoreline should be selected to minimize the total cost of the pipeline?

Reference no: EM13181555

Questions Cloud

State what is the steady state concentration of benzene : Benzene is evaporated into a room at 1 gram per minute the room is 6 by 6 by 3 meters and has a ventialtion rate of 10 meters cubed per minute what is the steady state concentration of benzene in the room
Explain effects on level of savings and investment : Heavy rains caused the flooding of the Mississipi River and the Missouri River as well as some of their tributaries. This flood represented an important macroeconomic shock significantly damaging the aggregate capital stock and ..
Write the waist-to-hip ratio as a decimal : A woman has a 28-in. waist and 34-in. hips. Write the waist-to-hip ratio as a decimal, rounded to the nearest hundredth.
Define what are the equilibrium partial pressures : What are the equilibrium partial pressures of CO and CO2 if CO is the only gas present initially, at a partial pressure of 0.872 atm?
What point on the shoreline should be selected to minimize : The pipeline will be built in a straight line from the rig to a selected point on the shoreline, then in a straight line to the storage tank. What point on the shoreline should be selected to minimize the total cost of the pipeline?
Find the rate of change of profit at that instant : where x is demand and P is measured in millions of dollars. At the instant that x = 110, demand is increasing at a rate of 5 units/month. Find the rate of change of profit at that instant. Round your answer to 3 decimal places.
What minimum constant deceleration is required to stop : A car is traveling at 94 km/h when the driver sees an accident 50 m ahead and slams on the brakes. What minimum constant deceleration is required to stop the car in time to avoid a pileup?
State what are the partial pressures of the gases : what is the total pressure in the reaction flask at the end of the reaction? What are the partial pressures of the gases in the flask? 6A(g) + 2B(g) %u2192 2A3B(g)
What is the proabiility of overruning the poe : In performing a symetric approximation, you calculate the total system cost $6,725K. The variance is 75625. The POE is $6,475K. What is the proabiility of overruning the POE?

Reviews

Write a Review

Mathematics Questions & Answers

  Find the equilibria of the system of the first two equations

verify that E is a constant of motion for the system of the first two equations and find the equilibria of the system of the first two equations

  Fundamental counting principle-automobile models

An automobile manufacturer produces 7 models, each available in 6 different exterior colors, with 4 different upholstery fabrics and 5 interior colors. How many varieties of automobiles are available?

  Calculate the slope of the tangent line at the point

Consider the function f(X)=ln(x^2+1). Calculate the slope of the tangent line at the point (2,ln(5)) to two decimal places.

  Apply normal distribution method to approximate binomial

Apply normal distribution methods to approximate this binomial distribution.

  Calculus-area between curves

After t hours on the job, one factory worker is producing Q'1(t) = 60 - 2(t - 1)^2 units per hour, while a second worker is producing Q'2(t) = 50 - 5t units per hour.

  Principal branch and complex powers

How do you find (and what is it) the principal branch of the following complex powers:

  Linear systems of equations using cramer rule

I need assistance in solving the following linear system for x using Cramer's rule and must show the work:

  What dimensions will enclose the largest area

A piece of molding 168 centimeters long is to be cut to form a rectangular picture frame. What dimensions will enclose the largest area? Round to the nearest hundredth, if necessary.

  Compute the p value for the test

Compute the p value for the test

  Determining retraction proof

Let A_0 be contained in A_1 contained in A_2 and so on be a nested sequence of subspaces of X such that the union of all A_n is X and such that An contained in the interior of A_(n+1).

  Explain why the normal distribution can be used to binomial

Explain why the normal distribution can be used as an approximation to the binomial distribution. What conditions must be met to use the normal distribution to approximate

  Determining nonlinear equations

If a system of nonlinear equations contains one equation whose graph is a circle and another equation whose graph is a line, can the system have exactly one solution?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd