Construction company has four big front-end loaders located at four different workshops. The

loaders must be moved to four different construction sites. The distances in kilometers are tabulated below.Loader A B C D Total distance1 90 75 75 80 3202 35 85 55 65 2403 125 95 90 105 4154 45 110 95 115 365Total distance 295 365 315 365Site(a) How should the loaders be moved in order to minimize the total distance travelled? [6](b) Formulate the linear programming model for the data provided. [6](c) Formulate the dual model for the primal in (b). [6](d) Use the North-West Corner method to solve the problem.