Question: (a) Formulate a linear programming model for maximizing total profit contribution. (Let Pi= units of product i produced, for i=1,2,3.) max25P1+28P2+30P3 s.t. Department A Department

(a) Formulate a linear programming model for maximizing total profit contribution. (Let Pi= units of product i produced, for i=1,2,3.) max25P1+28P2+30P3 s.t. Department

(a) Formulate a linear programming model for maximizing total profit contribution. (Let Pi= units of product i produced, for i=1,2,3.) max25P1+28P2+30P3 s.t. Department A Department B2P1+1P2+2.5P3=350 Department C.25P1+.25P2+.25P3=50 P1,P2,P30 (b) Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution (in dollars)? (P1,P2,P3)=withprofit$[1 developed in part (b) is to be used, what is the total profit contribution (in dollars) after taking into account the setup costs? What is the objective function of the mixed-integer linear program? Max In addition to the constraints from part (a), what other constraints should be added to the mixed-integer linear program? s.t. units of Product 1 produced units of Product 2 produced units of Product 3 produced p1p2p30;y1y2y3=0,1 (e) Solve the mixed-integer linear program formulated in part (d). How much of each product should be produced, and what is the projected total profit (in dollars) contribution? (P1,P2P3y1,y2y3)=(withprofit$ (a) Formulate a linear programming model for maximizing total profit contribution. (Let Pi= units of product i produced, for i=1,2,3.) max25P1+28P2+30P3 s.t. Department A Department B2P1+1P2+2.5P3=350 Department C.25P1+.25P2+.25P3=50 P1,P2,P30 (b) Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution (in dollars)? (P1,P2,P3)=withprofit$[1 developed in part (b) is to be used, what is the total profit contribution (in dollars) after taking into account the setup costs? What is the objective function of the mixed-integer linear program? Max In addition to the constraints from part (a), what other constraints should be added to the mixed-integer linear program? s.t. units of Product 1 produced units of Product 2 produced units of Product 3 produced p1p2p30;y1y2y3=0,1 (e) Solve the mixed-integer linear program formulated in part (d). How much of each product should be produced, and what is the projected total profit (in dollars) contribution? (P1,P2P3y1,y2y3)=(withprofit$

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