please andwer asap

Problem 1 ( 23 points) Dwight is an elementary school teacher who also raises pigs for supplemental income. He is trying to decide what to feed his pigs. He is considering using a combination of pig feeds available from local suppliers. He would like to feed the pigs at minimum cost while also making sure each pig receives an adequate supply of calories and vitamins. Dwight has formulated the following Linear Programming (LP) model: Let A= pounds of Feed Type A in diet B = pounds of Feed Type B in diet MinimizeZ=subjecttoand$0.50A+$0.75B600A+1,100B10,000110A+90B700A(1/4)(A+B)A0,B0.(Cost)(requirementofcaloriesperday)(requirementofunitsofvitamins)(constraint3) Briefly explain or define each of these parts of the model: a. The 0.75 in the objective function. ( 1 point) b. The product of the 0.50 and A in the objective function (e.g. 0.50A). (1 point) c. The 10,000 calories in the calories constraint. ( 1 point) d. The product of 1,100 and B in the calories constraint (e.g. 1,000B). (1 point) c. The 90 units in the vitamins constraint. (1 point) f. Constraint 3 was added since Feed Type A contains an ingredient that is toxic if consumed in too large a quantity. In managerial terms (e.g. verbally explain) what does constraint 3 mean? ( 1 point) Solve this LP problem using the graphical method: g. Graph the constraints (make sure to label them clearly to indicate which line corresponds to which constraint) and identify the feasible region (Shade/darken the feasible region). Provide all necessary steps/calculations to justify your answers. ( 8 points) h. Determine the optimal solution(s) and the minimum cost (show your calculations). Include "managerial statements" that communicate the results of the analyses (i.e. describe verbally the results). ( 6 points) i. Determine the amount of slack for each of the constraints. (3 points)