A power house on a river bank supplies power to a plant on the other side and 5 km. downstream. If the river is 3 km wide and the power line costs Php 4,000 per km. (Php is Philippine peso) on land and Php 5,000 per km. in water. Please show the detailed solution this problem is in differential calculus
A power house B C D plant we shall solve in general form then substitute values let AB w BC x BD wy cost ratio/km water:land k (5/4) angle BAC Θ dist. over water w?secΘ, dist. over land w(y - tanΘ) time C ∞ k?secΘ +(y - tanΘ) dC/dΘ k?secΘ?tanΘ - sec?Θ (ksinΘ - 1) / cos?Θ for minima, sinΘ 1/k which yields x w /√(k? - 1) 3/√((5/4)?-1) 2.25 km ----- you should now be easily able to compute the minimum cost
