Question: It seems you have a problem related to linear programming or optimization where the objective is to determine the best allocation of units produced at

It seems you have a problem related to linear programming or optimization where the objective is to determine the best allocation of units produced at three plants to four customers in order to maximize profit To assist you better I would need the net profit table you mentioned that shows the profit for shipping from each plant to each customer However heres a general approach to solve this problem Problem Setup 1 Plants and Production Plant 1 produces 60 units Plant 2 produces 80 units Plant 3 produces 40 units 2 Customer Demands Customer 1 needs 40 units Customer 2 needs 60 units Customer 3 needs at least 20 units Customer 4 will take any remaining units after fulfilling the commitments to the other customers 3 Objective Maximize profit by allocating units from the plants to the customers where each allocation has a specific profit per unit Steps to Solve 1 Define Decision Variables Let represent the number of units shipped from plant to customer 2 Profit Maximization The objective is to maximize the total profit textMaximize Z sumi13 sumj14 pij xij 3 Constraints Production Constraints xi1 xi2 xi3 xi4 leq textProduction capacity of plant i quad i 1 2 3 x1j x2j x3j textDemand of customer j quad j 1 2 3 4 4 NonNegativity Constraints xij geq 0 quad textfor all i j

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