Write a function that inputs a numeric vector and implements the sorting algorithm described below. for every index position of a vector starting with position 1 until the second to last index position: • find the least valued element to the right of the index position. • if the least valued element to the right of the index position you are working on is less than the value in the index position, switch the positions of the least valued element to the right of the index position and the element in the index position.

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?