ONLY D & E.

CLEAR JUST ANSWERS.

P1,P2,P30 b) Solve the linear program formulated in part (a). How much of each preduct should be prodaced, and what is the projected total profic contribution (in dollars)? (P1;P2,P3)=(1)withprofit$ (c) Aher evaluating the solution obtained in part (b), ene of the production supervisors noted that preduction setup costs had not been taken inte account, she noted that setup coets ace siee fo product 1,$540 for preduct 2 , and 5630 for product 3 . It the solution developed in part (b) is to be used, what is the total profit contritution (in dollari) after taking into account the setup costs? (d) Management realized that the optimal product mix, taking setup costs into account, might be differeng from the ene recommanded in part (b). Formulate a mixed-integer innear program that takes setup costs into ateount. Management also stated that we should not consider making more than 145 units of product 1,150 units of product 2 , or 190 units of product. 3 . (Let F, = unit of preduct i preduced and y, be the o-1 variable that is one if any quantity of product is produced and zero ceharibe, for i=1,2,3.) What is the objective function of the mixed-integer linear programi: Max In addnion to the constraints from part (a). what other constraint showid be added to the mixed timeger linear program? s.t. unis of Preduct 1 preduced units of Product 2 produced unite of Product 3 produced p1+P2,p2+01y1,y2,y3=01 (e) Solve the mixed-integer lines prepram formulated in part (d). How much of each produd thovid be produced, and what is the prejected total grobit (in dollars) centributiant. (P1,P2Py,j;2,rj)=(withprofits Hart Manufacturing makes three products. Cach product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by departmetht, are as Fidonki: During the next production peries, the labor hourn walable are 430 in department i, Jso in department 8 , and so is department C. The profit contributions per unit are s2s for product I, siy for product 2 , and $29 for preduct 3 . (a) formulate a linear programming model for mavimizing total proft contritution. (Let pi = units of product i produced, for i =1,2,3.1 Mar Department A Department 1 eepartment C pipyp2+0 (P1P1F1)=(1)whipouta1