Contois Carpets is a small manufacturer of carpeting for home and office instalfations. Production ranaritu damanu. Bevelop a linear programming model to minimize cost and meet demand exactlyi (Let xy be the number of square vards of carpet which flows from node ( to node j. Min s.t. Eeginning Inventory flom Quarter-1 Prodiuction Flow Qiarter 2 Production Flas Quarter 3 Pigedetion fiow Quarter 4 proouction Fiow Develop a linear programming model to minimize cost and meet demand exactly. (Let x be the nomber of square yards of carpet which fiows from node f to node . .) s.t. Beginning Inventory Flow Quarter 1 Production Flow Quarter 2 Production Flow Quarter 3 Freduction Paw Quarter-4. Production Flow Quarter 1 Demand Flon Quarter 2 Demand Flow Quarter 3 Demand Flow Quarter 4 Demand Flow Ending Inventory flow xi0 for all 6% Solve the inear, program to find the optimal solution. x16=5x26=5x37=5x46=5x59=5x67=4x76=5x63=5x91=5 Repoet the cost (in dollars) associatind wath the optimal solutian. Contois Carpets is a small manufacturer of carpeting for home and office instalfations. Production ranaritu damanu. Bevelop a linear programming model to minimize cost and meet demand exactlyi (Let xy be the number of square vards of carpet which flows from node ( to node j. Min s.t. Eeginning Inventory flom Quarter-1 Prodiuction Flow Qiarter 2 Production Flas Quarter 3 Pigedetion fiow Quarter 4 proouction Fiow Develop a linear programming model to minimize cost and meet demand exactly. (Let x be the nomber of square yards of carpet which fiows from node f to node . .) s.t. Beginning Inventory Flow Quarter 1 Production Flow Quarter 2 Production Flow Quarter 3 Freduction Paw Quarter-4. Production Flow Quarter 1 Demand Flon Quarter 2 Demand Flow Quarter 3 Demand Flow Quarter 4 Demand Flow Ending Inventory flow xi0 for all 6% Solve the inear, program to find the optimal solution. x16=5x26=5x37=5x46=5x59=5x67=4x76=5x63=5x91=5 Repoet the cost (in dollars) associatind wath the optimal solutian