2) A power company needs to lay a cable from point A on one bank of an 800-foot wide, straight river to point B on the opposite bank 1600 feet downstream. The power company will choose a point C on the same side of the river as B, and will lay a cable underwater from A to C and on land 'om C to B. It costs $3 a foot to lay the cable on land and $5 a foot to lay it underwater. Where should point C be chosen to minimize the total cost and what is the minimum cost? :1) Draw a diagram and dene variables b) Determine the objective equation (the function to be minimized) c) Determine the constraint equation. d) Solve the constraint equation for one of its variables and express the objective function using only one variable. e) Find the point C that minimizes the total cost and state the minimum cost