You have been asked to do a conceptual design layout of a wind farm intended to produce a maximum of $1000$ MW of power.

a$.$ If the turbine described in problem $1$ is the one to be considered for this wind farm and you can extract a maximum of $1$ MW of power per sq$.$km$.$ of land area $($due to turbineturbine interactions as well as effects of the turbines slowing down the wind$),$ what is the spacing between turbines?

b$.$ How many turbines are required to meet the maximum design power?

c$.$ If the capacity factor of the site is $0\mathrm{.}35,$ what will be the average poweravailable from all the turbines? $[$Answer: $350$ MW $.]$

d$.$ Research the capital costs of wind turbines $\backslash (\backslash$$ $\backslash$mathrm$\{$USD$\}/\backslash$mathrm$\{$kW$\}\backslash )$ installed. What would this wind farm cost to install? $[$Answer: Around $\backslash$$USD $1\mathrm{.}7$Bn$,$ depending on estimated installed cost per kw$.]$