تحليل كمي شبتر 3

[LADY..]

السلام علييكم

عندي اسئله في شبتر 3 مني فاهمتها في التست بنك

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اول سؤال :
The amount by which an objective function coefficient can change before a different set of values for
the decision variables becomes optimal is the
a. optimal solution
b. dual solution.
c. range of optimality.
d. range of feasibility.
السؤال الثاني :
An objective function reflects the relevant cost of labor hours used in production rather than treating
them as a sunk cost. The correct interpretation of the dual price associated with the labor hours
constraint is
a. the maximum premium (say for overtime) over the normal price that the company would
be willing to pay.
b. the upper limit on the total hourly wage the company would pay.
c. the reduction in hours that could be sustained before the solution would change.
d. the number of hours by which the right-hand side can change before there is a change in
the solution point.
السؤال الثالث :
The amount that the objective function coefficient of a decision variable would have to improve before
that variable would have a positive value in the solution is the
a. dual price.
b. surplus variable.
c. reduced cost.
d. upper limit.
السؤال الرابع :
The amount by which an objective function coefficient would have to improve before it would be
possible for the corresponding variable to assume a positive value in the optimal solution is called the
a. reduced cost.
b. relevant cost.
c. sunk cost.
d. dual price.
هادي بس الاختيارات ,, وعندي اسئلة في المسائل
3. The binding constraints for this problem are the first and second.
Min x1 + 2x2
s.t. x1 + x2 ≥ 300
2x1 + x2 ≥ 400
2x1 + 5x2 ≤ 750
x1 , x2 ≥ 0
a. Keeping c2 fixed at 2, over what range can c1 vary before there is a change in the optimal
solution point?
b. Keeping c1 fixed at 1, over what range can c2 vary before there is a change in the optimal
solution point?
c. If the objective function becomes Min 1.5x1 + 2x2, what will be the optimal values of x1,
x2, and the objective function?
d. If the objective function becomes Min 7x1 + 6x2, what constraints will be binding?
e. Find the dual price for each constraint in the original problem.
ANS:
a. .8 ≤ c1 ≤ 2
b. 1 ≤ c2 ≤ 2.5
c. x1 = 250, x2 = 50, z = 475
d. Constraints 1 and 2 will be binding.
e. Dual prices are .33, 0, .33 (The first and third values are negative.)
وسؤال تاني كمان ..
سؤال ( 7 )
ادري اسئلتيي كتيييييييييييرة بس ماعندي احد اسألو كل صحباتي مااخدو المادة لسا
الله يوفقكم ويسعدكم ساعدوووني ولو بمعلومة ..