LP_Graphic_Solution

# LP_Graphic_Solution - Ple givea fe se ase w conds be thene...

This preview shows pages 1–7. Sign up to view the full content.

Pleasegivea few seconds beforethenext click for the animations to appear, thanks !

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Problem Statement Reddy Mikks produces both interior and exterior paints from two raw materials, M1 and M2. Basic data Tons of raw material per ton of Maximumdaily Exterior paint Interior paint availability (tons) Raw material, M1 6 4 24 Raw material, M2 1 2 6 Profit per ton (\$1000) 5 4 A market survey indicates that the daily demand for interior paint cannot exceed that of exterior paint by more than 1 ton. Also, the maximum daily demand of interior paint is 2 tons. Reddy wants to determine the optimum (best) product mix of interior and exterior paints that maximizes the total daily profit.
Equation Form Basic data Tons of raw material per ton of Maximum daily Exterior paint Interior paint availability (tons) Raw material, M1 6 4 24 Raw material, M2 1 2 6 Profit per ton (\$1000) 5 4 *Decision variables : Need to determine the amounts to be produced of exterior and interior paints. x 1 = tons produced daily of exterior paint x 2 = tons produced daily of interior paint *Objective (goal) aims to optimize : The company wants to increase its profit as much as possible. z represents thetotal daily profit (in thousands of dollars) Maximize z = 5x 1 + 4x 2 *Constraints: Restrict raw materials usageand demand (Usageof a raw material) (Maximumraw material) by both paints availability 6x 1 + 4x 2 24 ( Raw material M1 ) x 1 + 2x 2 6 ( Raw material M2 ) -x + x 1 (Demand Limit)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Graphical Method Graph all constraints, including nonnegativity restrictions Solution space consists of infinity of feasible points Identify feasible corner points of the solution space Candidates for the optimum solution are given by a finite number of corner points Use the objective function to determine the optimum corner point from among all the candidates
Feasible Solution A feasible solution : any values of x 1 and x 2 that satisfy all theconstraints of themodel ThecompleteReddy Mikks model Maximizez = 5x 1 + 4x 2 subject to 3 1 3 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Graphical LP Solution Graphical procedureincludes 2 steps Determination: 1) The solution space that defines all feasible solutions of the model 2) The optimum solution from among all the feasible points in the solution space
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern