StudentShare
Contact Us
Sign In / Sign Up for FREE
Search
Go to advanced search...
Free

Graphical model - Linear Programming Task 2 - Speech or Presentation Example

Cite this document
Summary
The supply of three ingredients for each production period is limited to 30 units of nutrient C, 72 units of flavor additive and 90 units of color…
Download full paper File format: .doc, available for editing
GRAB THE BEST PAPER98.8% of users find it useful

Extract of sample "Graphical model - Linear Programming Task 2"

Graphical Model – Linear Programming Task 2 College Graphical Model – Linear Programming Task 2 Task:  A. There are three constraints nutrient C, flavor additive and color additive hat are plotted on the attached “Graph 1”. The supply of three ingredients for each production period is limited to 30 units of nutrient C, 72 units of flavor additive and 90 units of color additive. The formula for a case of Brand X calls for 4 units of nutrient C, 12 units of flavor additive, and 6 units of color additive.

The Brand Y formula per case requires 4 units of nutrient C, 6 units of flavor additive, and 15 units of color additive.Therefore, equations for the linear constraints areNutrient constraint: 4X + 4Y ≤ 30 (Maximum constraint)Flavor constraint: 12X + 6Y ≤ 72 (Maximum constraint)Color additive constraint: 6X + 15Y ≤ 90 (Maximum constraint)Non-negativity Constraints: X ≥ 0 and Y ≥ 0B. The contribution to profit from the Brand X and Brand Y are $40 and $30, respectively. Therefore, objective function is toMaximize: 40X + 30YThe equation for the purple objective function (profit line) passing from two points (0, 8) and (6, 0) is given by:Y – Y1 = {(Y2 – Y1)/(X2 – X1)}(X – X1)Y – 8 = {(0 – 8)/(6 – 0)}(X – 0)Y = -(4/3)X + 8Table 1 gives the combination of cases of Brand X and Brand Y that lies on the purple objective function (profit line) and the total contribution to profit.

Table 1: The combination of cases of Brand X and Brand Y and the total contribution to profitXY = -(4/3)X + 8Total Contribution to Profit = 40X + 30Y08$24016.67$24025.33$24034$24042.67$24051.33$24060$240As shown in table 1, for any combination of cases of Brand X and Brand Y that lies on the purple objective function, the total contribution to profit is always $240.Therefore, the total contribution to profit if the company produces a combination of cases of Brand X and Brand Y that lies on the purple objective function (profit line) will be $240.C. Shaded area in figure 1 shows the feasible solution.

Figure 1: Corner (extreme) PointsThe profit will be maximum at the corner (extreme) points of feasible solution. The two corner points are (0, 6) and (6, 0). The other corner points are given by the solution of system of equations for ‘Nutrient and Flavor’ and ‘Nutrient and Color’.The system of equations for Nutrient and Flavor are 4X + 4Y = 30 and 12X + 6Y = 72 that gives solution as (4.5, 3).The system of equations for Nutrient and Color are 4X + 4Y = 30 and 6X + 15Y = 90 that gives solution as (2.5, 5).Thus, four corner points are (0, 6), (2.5, 5), (4.5, 3) and (6, 0).

Table 2 shows the optimal solution and the total contribution to profit at the corner (extreme) points of feasible solution.Table 2: The optimal solution and the total contribution to profitXYTotal Contribution to Profit = 40X + 30Y 06$1802.55$2504.53$270 (Maximum)60$240The maximum total contribution to profit is for 4.5 cases of Brand X and 3 cases of Brand Y and equals to $270. Thus, 4.5 cases of Brand X and 3 cases of Brand Y I recommend should be produced during each production period for optimum production if Company A wants to generate the greatest amount of profit.D. Total contribution to profit for 4.

5 cases of Brand X and 3 cases of Brand Y = 40X + 30Y = 40(4.5) + 30(3) = $270The total contribution to profit that would be generated by the production level of 4.5 cases of Brand X and 3 cases of Brand Y I recommended is $270.

Read More
Cite this document
  • APA
  • MLA
  • CHICAGO
(“Graphical model - Linear Programming Task 2 Speech or Presentation”, n.d.)
Retrieved from https://studentshare.org/statistics/1620107-graphical-model-linear-programming-task-2
(Graphical Model - Linear Programming Task 2 Speech or Presentation)
https://studentshare.org/statistics/1620107-graphical-model-linear-programming-task-2.
“Graphical Model - Linear Programming Task 2 Speech or Presentation”, n.d. https://studentshare.org/statistics/1620107-graphical-model-linear-programming-task-2.
  • Cited: 0 times

CHECK THESE SAMPLES OF Graphical model - Linear Programming Task 2

Business Finance and Linear Programming

Date: Course of Learning: Business Finance Finance theorists suggest that the goal of the firm should be to maximize ownership wealth.... Discuss the basis of this concept and its application to the real world The current trend in most firms to have their main goal being to maximize the ownership wealth has received much criticism especially from the economists....
12 Pages (3000 words) Essay

Testing

Managing Creativity When managing creativity with regards to software management, it is vital to differentiate two main viewpoints: activity-level (or task-level) analysis, as well as process-level analysis.... Testing (software) is an analysis carried out to present stakeholders with facts concerning the quality of the product or service under investigation (Ammann & Offutt, 2008)....
8 Pages (2000 words) Research Paper

The Components of the Multi-Media Employment Market

Unlike linear media like film and video multi-media users can interact and direct the sequence, speed and other aspects of the presentation”.... The researcher of this essay describes the employment market and the components of multi-media and new media, that may be said to be the ability to use computer skills to brings together text, graphic art, sound, animation and video to educate, inform and entertain customer....
12 Pages (3000 words) Essay

Importance of Spreadsheet Models in 21st Century

Many of the concepts common to sequential programming models have analogs in the spreadsheet world.... The author discusses the importance of a spreadsheet model to small and large scale businesses in the 21st Century.... Due to the lack of transparency of complex spreadsheet models, not only can it be difficult to communicate your model to others, but it can also be difficult to check for errors.... For example, the sequential model of the indexed loop is usually represented as a table of cells, with similar formulas....
8 Pages (2000 words) Assignment

Automatic Speaker Verification System

hellip; When training big model sets from restricted data, setting a floor is usually important to avoid variances being badly undervalued due to lack of information.... In the training step, the characteristics will be derived from a recognized speaker sound then stored in a database that has a model or an outline like Password or Name.... The stored information is then extracted by means of the model given by an unidentified speaker.... For this project, I employed the Hidden Markov model (HMM) for the recognition of speech....
22 Pages (5500 words) Essay

Testing Software and How It Is Controlled

hen managing creativity with regards to software management, it is vital to differentiate two main viewpoints: activity-level (or task-level) analysis, as well as process-level analysis.... This coursework "Testing Software and How It Is Controlled" focuses on an analysis carried out to present stakeholders with facts concerning the quality of the product or service under investigation....
9 Pages (2250 words) Coursework

Lisrel and Eqs Structural Model Strategies

The paper "Lisrel and Eqs Structural Model Strategies" discusses that the software also incorporates the survey glim specifically for linear modeling.... oreover, instructions are downloaded in order for the users to apply the software and hardware solution of the model system correctly.... According to Singer (2009), the nesting and equivalence tests are some of the tests applied in a bid to have a sound structural model application.... he method also incorporates the internal consistency reliability and maximum reliability coefficients, especially for the composite bias factor model....
5 Pages (1250 words) Essay

Using Encoders to Measure the Speed, Rotation, and Direction of the 4-Wheel Robot

The aspects of this science major are programming, mechanics, and electronics.... This research paper "Using Encoders to Measure the Speed, Rotation, and Direction of the 4-Wheel Robot" presents robotics as a science that combines engineering design, manufacture and applications, and restructuring....
6 Pages (1500 words) Research Paper
sponsored ads
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.
Contact Us