A large mountain area in Western Norway has very favorable wind conditions and opportunity to establish a wind farm for the production of electric power which can be sold in the European power market. The company Power has previously gained the exclusive right to develop the area for power production. Let x be the number of dmøller set up in the area. The area is used by many people as recreation area, and is close to a major city. Power's profit depends on how many wind turbines set up. Let the profit be given by TIP (X) = 100x - 5x 2 Two groups are negatively affected by the wind turbine development, the local population gen and the local tourism industry that sells adventure travel to foreign countries tourists. The value of the local population of the area given by the following function 1 VL (x) = V 0 - 30x - 2 The tourism industry's profit is given by the following function пт (х) %3D по- 10х- 1 X 2

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A large mountain area in Western Norway has very favorable wind conditions and
opportunity to establish a wind farm for the production of electric power
which can be sold in the European power market. The company Power has previously
gained the exclusive right to develop the area for power production. Let x be the number of
dmøller set up in the area. The area is used by many people as
recreation area, and is close to a major city.
Power's profit depends on how many wind turbines set up. Let
the profit be given by
IP (X) = 100x - 5x 2
Two groups are negatively affected by the wind turbine development, the local population
gen and the local tourism industry that sells adventure travel to foreign countries
tourists. The value of the local population of the area given by the following function
1
V L (x) = V 0 - 30x -
X 2
2
The tourism industry's profit is given by the following function
πτ(x) πο- 10x-
1
X 2
Transcribed Image Text:A large mountain area in Western Norway has very favorable wind conditions and opportunity to establish a wind farm for the production of electric power which can be sold in the European power market. The company Power has previously gained the exclusive right to develop the area for power production. Let x be the number of dmøller set up in the area. The area is used by many people as recreation area, and is close to a major city. Power's profit depends on how many wind turbines set up. Let the profit be given by IP (X) = 100x - 5x 2 Two groups are negatively affected by the wind turbine development, the local population gen and the local tourism industry that sells adventure travel to foreign countries tourists. The value of the local population of the area given by the following function 1 V L (x) = V 0 - 30x - X 2 2 The tourism industry's profit is given by the following function πτ(x) πο- 10x- 1 X 2
c) The tourism industry contacts Power and asks them to reduce the number of
dmøller in their development plans. They sit down at negotiations
the table. How many wind turbines will they agree to build (round off to
nearest whole number)? Explain why such an agreement would have to involve
that the tourism industry pays Power to reduce the number of wind turbines. What
is the smallest amount the tourism industry has to pay to get Power
on the agreement? What is the maximum amount the tourism industry can stretch
to pay for the deal?
d) Despite these negotiations between the tourism industry and Power
more the angry reader post from the citizens who think their voice
not heard. The municipality takes self-criticism and suggests that they go into
the same negotiations with Power. Explain why such an initiative
welcomed by both Power and the tourism industry. How will this
change the outcome of the negotiations, ie how many wind turbines will they agree on
that Power should build? What is the minimum amount the tourism industry and
the municipality as a whole must pay to get Power on the agreement? remember that
Power already has an agreement with the state that gives the company a full right to
to build as many wind turbines as they want.
Transcribed Image Text:c) The tourism industry contacts Power and asks them to reduce the number of dmøller in their development plans. They sit down at negotiations the table. How many wind turbines will they agree to build (round off to nearest whole number)? Explain why such an agreement would have to involve that the tourism industry pays Power to reduce the number of wind turbines. What is the smallest amount the tourism industry has to pay to get Power on the agreement? What is the maximum amount the tourism industry can stretch to pay for the deal? d) Despite these negotiations between the tourism industry and Power more the angry reader post from the citizens who think their voice not heard. The municipality takes self-criticism and suggests that they go into the same negotiations with Power. Explain why such an initiative welcomed by both Power and the tourism industry. How will this change the outcome of the negotiations, ie how many wind turbines will they agree on that Power should build? What is the minimum amount the tourism industry and the municipality as a whole must pay to get Power on the agreement? remember that Power already has an agreement with the state that gives the company a full right to to build as many wind turbines as they want.
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