Contois Carpets is a small manufacturer of carpeting for home and office installations. Production capacity, demand, production cost per square yard (in dollars), and inventory holding cost per square yard (in dollars) for the next four quarters are shown in the netv Develop a linear programming model to minimize cost and meet demand exactly. (Let xij be the number of square yards of carpet which flows from node i to node j.) s.t: Beginning Inventory Flow Quarter 1 Production Flow Quarter 2 Production Flow Quarter 3 Production Flow Quarter 4 Production Flow xij0 for all i,j. Solve the linear program to find the optimal solution. x16=$x26=$x37=$x48=$x59=$x67=$x78=$x89=$x910=$ Report the cost (in dollars) associated with the optimal solution