SEHH1008 Mathematics and Statistics for College Students Semester 1, 2019/2020 Question BS Consider the following linear programming problem: Max 2X...
View the step-by-step solution to:

Question

Please help me with the following questions I cannot solve that WhatsApp</h1><p class='abPRemoveTitle'> Image 2019-12-12 at 4.56.04 AM.jpeg

WhatsApp Image 2019-12-12 at 4.56.04 AM.jpeg

SEHH1008 Mathematics and Statistics for College Students
Semester 1, 2019/2020
Question BS
Consider the following linear programming problem:
Max 2X + 3Y
S.t.
3X + 2Y S 30
Constraint 1
3X + Y S 27
Constraint II
2X + 5Y S 53
Constraint III
X, Y 20
The following figure shows the three constraints graphically.
15
14
13
12
11
I
10
D0 10
DUNWA
0
5
6
8
9
10
(a) Identify the two binding constraints. Hence. find the optimal solution and optimal value of the
above linear programming problem.
(S marks)
(b)
Find the slack surplus associated to the non-binding constraint and state clearly whether it is
slack or surplus.
(2 marks)
(e) Find the range of optimality of the coefficient of'.\' of the objective function. Hence, find the
optimal solution if the coefficient of .Vis to be mereased from 2 to 4
(2 marks)
(d)
Suppose the value of the right-hand side of the Constraint Ill is increased by I (i.e. from 53 to
5-4). Find the new optimal solution and the dual price for the Constraint III. (Correct your
CS
Scanne
find answers to 2 decimal places)
(3 marks)
Ca
Additional Assignment
Page 5 of 7

Recently Asked Questions

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
Ask Expert Tutors You can ask You can ask ( soon) You can ask (will expire )
Answers in as fast as 15 minutes