A Highway Contractor Needs to Locate a Single Supply Point

question 26

Essay

A highway contractor needs to locate a single supply point to provide road building materials to four projects. The four projects, which are all approximately the same magnitude, are located at the following coordinates. Coordinate units are in miles.
a. On the grid below, plot the locations of the four road-building sites. Properly label all points.
b. What is the center of gravity?
c. If a single truck were sent from center-of-gravity to each project and back (four round trips), how many miles would be traveled? (Hint: use the Pythagorean Theorem C = ).
d. Add the calculated center of gravity to the grid.

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Definitions:

Vertical Mergers

Mergers between companies that operate at different stages within an industry's supply chain, aiming to increase synergies and efficiency.

IRS

The Internal Revenue Service, the U.S. federal agency responsible for administering and enforcing the tax laws and collecting taxes.

Tax Savings

Reductions in tax payments achieved through allowable deductions, credits, or other legal means.

Merger

The combination of two or more companies into a single entity, usually to increase market share or efficiency.