Write My Paper Button

WhatsApp Widget

MTH355: A company is using linear programming to determine the optimal production mix for two products, A and B: Basic Mathematical Optimisation Assignment, SUSS

Share this post on:
Question 3

A company is using linear programming to determine the optimal production mix for two products, A and B. The objective is to maximize profit. The original linear programming problem is as follows:

Maximize Z = 3A + 5B

subject to:

(1)
2A + B ≤ 10;
(2)
A + 3B ≤ 12;
(3)
A, B ≥ 0.

The company has found the optimal solution to be A = 3.6, B = 2.8, and the maximum profit Z = 24.8.

Now, the company is considering making changes to the problem. They anticipate the following changes:

(a) The profit from product A may change from $3 to $4.
(b) The profit from product B may change from $5 to $6.
(c) The availability of resource in Constraint (1) may change from 10 units to 12 units.
(d) The availability of resource in Constraint (2) may change from 12 units to 10 units.

One change will be carried out at one time. That is, when the company makes one change, the rest will remain the same. Determine how each of these changes would impact the optimal solution.

Buy Custom Answer of This Assessment & Raise Your Grades
Get A Free Quote

Question 4
(a)
By using the Simplex Method, solve the following linear programming:
(b) Formulate the dual programming of the above linear programming and determine the optimal objective value of the dual programming.
Write My Assignment
Hire a Professional Essay & Assignment Writer for completing your Academic Assessments

Native Singapore Writers Team

100% Plagiarism-Free Essay
Highest Satisfaction Rate
Free Revision
On-Time Delivery

The post MTH355: A company is using linear programming to determine the optimal production mix for two products, A and B: Basic Mathematical Optimisation Assignment, SUSS appeared first on Singapore Assignment Help.

Share this post on:

Affordable and Dependable Platform for Your Academic Assignments

X