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(a) Formulate a linear programming madel for maximizing total proft cantribution. (Let y= units of product i producod, for j=1, 2 , 3.) Max s.t. Department a Department B Department C p1,2,p3=0 (b) Solve the lines program fonnulated in part (a). How much of each product should be produced, and what lis the projected tobal proft contribution (in dollars)? 1,2,P3)()withpronits used, what is the tatal profit contribution (iin dollars) after taking into account the sctup casts? 1 What is the cojective fundtion af the mixed-integer linear program? Max In addition to the corstraints from part (a), what other cunstre ints should be added to the mixed-integer linear program? s.t. units of Froduct 1 produced units of Froduct 2 produced unics of Product 3 produced v1,p2,p30;y1,y2,y3=0,1 (e) Solve the mixed-integer linear program fomulated in part [d]. How much of each product should be produced, and what is the projected total profit (in dollars] contribution? (1,2,3,1,2,3)=()withprufit$