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Question Number 118308 by otchereabdullai@gmail.com last updated on 16/Oct/20

Commented by otchereabdullai@gmail.com last updated on 16/Oct/20

$$\mathrm{please}\mathrm{help}$$

Answered by 1549442205PVT last updated on 16/Oct/20

Commented by 1549442205PVT last updated on 16/Oct/20

$$\mathrm{The}\mathrm{positon}\mathrm{of}\mathrm{the}\mathrm{market}\mathrm{satisfying}$$$$\mathrm{requirement}\mathrm{of}\mathrm{the}\mathrm{problem}\mathrm{need}\mathrm{must}$$$$\mathrm{lying}\mathrm{on}\mathrm{the}\mathrm{midline}\mathrm{of}\mathrm{MN}\mathrm{and}\mathrm{the}$$$$\mathrm{the}\mathrm{circle}\mathrm{with}\mathrm{the}\mathrm{center}\mathrm{at}\mathrm{P}\mathrm{and}\mathrm{radius}$$$$\mathrm{R}=10\mathrm{km}.\mathrm{Hence},\mathrm{the}\mathrm{market}\mathrm{is}\mathrm{the}$$$$\mathrm{intersection}\mathrm{point}\mathrm{of}\mathrm{the}\mathrm{midline}\mathrm{d}\mathrm{of}$$$$\mathrm{MN}\mathrm{and}\mathrm{the}\mathrm{circle}(\mathrm{P},10\mathrm{km}).\mathrm{Since}$$$$\mathrm{d}\cap \left(\mathrm{P}\right)=\{\mathrm{I},\mathrm{H}\},\mathrm{so}\mathrm{we}\mathrm{get}\mathrm{two}\mathrm{position}$$$$\mathrm{of}\mathrm{the}\mathrm{market}\mathrm{satisfying}\mathrm{the}\mathrm{problem}$$$$\mathrm{The}\mathrm{most}\mathrm{convenient}\mathrm{is}\mathrm{the}\mathrm{point}\mathrm{I}$$$$\mathrm{since}\mathrm{IM}+\mathrm{IN}+\mathrm{IP}<\mathrm{HM}+\mathrm{HN}+\mathrm{HP}$$

Commented by otchereabdullai@gmail.com last updated on 16/Oct/20

$$\mathrm{Am}\mathrm{much}\mathrm{much}\mathrm{greatful}\mathrm{for}\mathrm{ur}\mathrm{time}$$$$\mathrm{sir}\mathrm{may}\mathrm{God}\mathrm{bless}\mathrm{you}$$

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