Question

Introduction to management science

이름:name

계산값:calculated value

한계비용:marginal cost

목표 셀 계수:target count

허용 가능 증가치:allowable increment

허용 가능 감소치:permissible value

잠재 가격:potential price

제한 조건 우변:restrictions on the right side

Given this LP modele maximize Z = 10x1 + 6x2 + 5x- 2x, +3x, +4x2 s 25 (a) The sensitivity report is shown as follows: 계산 한계 목표 셀허용가능 허용가능 셀 이름 값 비용 계수 증가치 감소치 SD$6 x1 SES6 x2 6.6666666670624 SF$6 x3 10 5.S 0 -22 2.2 1E+30 제한 조건 계산 잠재 제한조건 허용가능 허용가능 셀 이름 값 가격 우변 증가치 감소시 SG$8 $G$9 $G$10 24 0 22 0.4 321.6 25 1E+30 1.25 16.66666667 10 32 (1) What are the binding constraints?. (2) Write down the optimal basic feasible solution (BFS)? 3) By how much would the objective coefficients of xg have to increase before it would come into solution?. (4) If one additional unit of the third constraint could be obtained at the same cost as the previous units (so that the profits per unit in the objective function did not change), what impact would this have on profit? (5) If one additional unit of the third resource (constraint) could be obtained at a premium of $0.50, what impact would this have on profit? (6) If 4 units of the third resource were obtained at the original cost per unit, what impact would this have on the optimal value of profit?. 스타일 Write down the dual problem? (8) Compute dual optimal solution using complementary slackness property?. (9) Compute the optimal BFS when the RHS of the third constraint was increased from 32 to 392- (Hint The binding constraints are changed to (a) and (c). Further xa remains nonbasic variable.)

Answer 1

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