A contractor is planning a job that will require a large amount of gravel and sand. The estimates for the necessary gravel and sand are:There are two pits from which material can be obtained, and the plan is to haul from these two pits and to separate (screen) on the job whatever material is needed. Analysis shows that the material at each pit has the following composition:It costs $8/yd^3 for material and hauling from pit A and $16/yd^3 from pit B. Set this up as a linear programming problem to minimize delivered cost