Develop a network showing the origin nodes, destinations, arcs, cost per arc, supply, and demand.Match the correct answer to each question.Warehouse City E City F City G City H Warehouse Supply A $0\mathrm{.}510\mathrm{.}240\mathrm{.}520\mathrm{.}415500$ B $0\mathrm{.}310\mathrm{.}370\mathrm{.}410\mathrm{.}286000$ C $0\mathrm{.}560\mathrm{.}280\mathrm{.}560\mathrm{.}375000$ D $0\mathrm{.}410\mathrm{.}540\mathrm{.}360\mathrm{.}525500$City Demand $4,8007,1004,5005,600$Match the correct answer to the following questions:$1.$ What is the Objective Function for this problem?$2.$ What is the supply constraint for Warehouse C$?3.$ What is the demand constraint for City G$?$