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10 Nov 2019

MaximizingPoints

A construction company has been offered a build-operatecontractfor $7.8 million to construct million to construct andoperate atrucking route for five years to transport ore from a minesite toa shelter. The

shelter is located on a major highway and the mine is 3kmintothe bush off the road.



Construction (capital) costs are estimated sa follows:

  • Upgrade to the highway (i.e. repaving) will be $200 000/km
  • New gravel road from the mine to the highway will be$500000/km

Operating consitions are as follows:

  • There will be 100 return trips each day for 300 days a yearforeach of the five years

the mine will be open

  • Operating costs on the gravel road will be $65/h andaveragespeed will be 40 km/h
  • Operating costs on the highway will be $50/h and averagespeedwill be 70 km/h.
  1. Explain what aspects should be taken intoconsiderationwhen determining the path the

trucks should follow.(C5).

  1. Determine the distance of paved and gravelsectionsproducing optimum conditions (maximum

profit). (A 5)

  1. What is the maximum profit? (A 5)
  2. Should the company accept the contract? (C5)

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Collen Von
Collen VonLv2
5 Aug 2019

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