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Productividy (u/batoln)=> Here the aim is to maximise profit, so objective function will be the profit function of the plant for one week=> Note from 2 nd table that Prod2 Cait be produced in Unit C and Product 3 cant be produced in Unit B=> Let x_(A) be the no. of batches of Product one produced in Unit ALet X_(B) be the no. of batcher of product I produced in Unit B Let xc be the no. of batches of product I produced in Unitc Let Y_(A) be the no. of batches of product 2 produced in Unit A Let y_(B) be the no. of batcher f product 2 produced in Unit B Let 3A be the no. 3 p batches of product 3 produced in Unit A Let 3C be the no. of batches of product 3 produced in=> It is alio given that profit fo Product 1,2,3 are $20,$6,$8 respectively.hence the profit function of the compamy for one meekf=20(x_(A)+x_(B)+x_(C))+6(y_(A)+y_(B))+8(3A+3C)=> now coming to constraints, the time for each unit is limited. Weas also kn ... See the full answer