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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.
- Explain what aspects should be taken intoconsiderationwhen determining the path the
trucks should follow.(C5).
- Determine the distance of paved and gravelsectionsproducing optimum conditions (maximum
profit). (A 5)
- What is the maximum profit? (A 5)
- Should the company accept the contract? (C5)
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.
- Explain what aspects should be taken intoconsiderationwhen determining the path the
trucks should follow.(C5).
- Determine the distance of paved and gravelsectionsproducing optimum conditions (maximum
profit). (A 5)
- What is the maximum profit? (A 5)
- Should the company accept the contract? (C5)
Collen VonLv2
5 Aug 2019