1. A method executed on a computing device to optimize an efficiency of camera placement, numbers of cameras, and resolution associated with each of the cameras in a multi-camera monitoring system, the method comprising: determining a maximum resolution matrix, wherein elements of the maximum resolution matrix represent a maximum resolution with which each of the cameras are capable to monitor a distinct coverage area along a linear axis in the multi-camera monitoring system, and wherein the distinct coverage area is defined by a length of coverage along the linear axis in the multi-camera monitoring system; receiving a desired resolution vector, wherein each element of the desired resolution vector represents a desired resolution for each of the cameras in the multi-camera monitoring system; determining whether any of the cameras violate a resolution consistency with one or more other cameras while monitoring the distinct coverage area in the multi-camera monitoring system; excluding any of the cameras from the multi-camera monitoring system that violate the resolution consistency; and performing a discrete optimization to determine an optimal camera from the cameras with a reduced resolution error by: evaluating the elements of the maximum resolution matrix in view of the desired resolution vector to: compute a cost function to scan the coverage area for each of the cameras as a product of the desired resolution for each of the cameras and the length of coverage along the linear axis in the multi-camera monitoring system; and determine the optimal camera from the cameras and an optimal resolution based on the cost function, wherein the cost function includes at least a resolution error that is assigned to each of the cameras; and minimizing the assigned resolution error by: switching on a camera in response to a detection of a first resolution coverage of the cameras; and switching off the camera in response to a detection of a second resolution coverage of the cameras, wherein the first resolution coverage of the cameras is greater than the second resolution coverage of the cameras.