L.P. Model:MinimizeSubject to:Z = 15X+12Y7X+11Y288 (C₂)(C₂)16X+4Y280X,Y 20On the graph on right, constraints, C, and C₂ have been drawn.Using the point drawing tool, plot all the corner points for thefeasible area.24-22-20-18-16-14-12-108-644-2--N10 12 14 16 18 20 22 24XCG

Given LP-Graphical method a) First we find the feasible region- the region in the graph (the…

Answered: L.P. Model: Minimize Subject to: Z=…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

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Problem 1Human visual inspection is necessary in many quality engineering contexts and is naturallysubject to subjectivity. This is especially true for the inspection of solder joints on circuit boards,as there are numerous types of solder defects, as well as a degree to which a joint possessesone or more defect. Consequently, even highly trained inspectors can disagree on the status ofa particular joint. In a batch of 10,000 such joints, inspector A found 724 to be defective,inspect B found 751 to be defective, and 1159 of the joints were judged to be defective by atleast one of the inspectors. Suppose that one of the 10,000 joints is randomly selected.a. What is the probability that the selected joint was judged to be defective by neither ofthe two inspectors?b. What is the probability that the selected joint was judged to be defective by inspector Bbut not by inspector A?
A committee in charge of promoting a Ladies Professional Golf Association tournament is trying to determine how best to advertise the event during the two weeks prior to the tournament. The committee obtained the following information about the three advertising media they are considering using. Cost per Audience Reached per Advertisement Advertisement Category TV Radio Internet s.t. Priority Level 2 Goal Priority Level 3 Goal Goal 1: Reach at least 3.7 million people. Priority Level Goal TV limit X₁ <10 Radio limit X₂ ≤ 15 Internet limit X3 ≤18 The last column in this table shows the maximum number of advertisements that can be run during the next two weeks; these values should be treated as constraints. The committee established the following goals for the campaign. Priority Level 1 Goal Goal 1 200,000 Goal 2 50,000 Goal 3 100,000 X Goal 2: The number of television advertisements should be at least 30% of the total number of advertisements. ✓ $2,500 X $400 Goal 3: The number of radio…
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Seneca Hill Winery recently purchased land for the purpose of establishing a new vineyard. Management is considering two varieties of white grapes for the new vineyard: Chardonnay and Riesling. The Chardonnay grapes would be used to produce a dry Chardonnay wine, and the Riesling grapes would be used to produce a semidry Riesling wine. It takes approximately four years from the time of planting before new grapes can be harvested. This length of time creates a great deal of uncertainty concerning future demand and makes the decision concerning the type of grapes to plant difficult. Three possibilities are being considered: Chardonnay grapes only; Riesling grapes only; and both Chardonnay and Riesling grapes. Seneca management decided that for planning purposes it would be adequate to consider only two demand possibilities for each type of wine: strong or weak. With two possibilities for each type of wine it was necessary to assess four probabilities. With the help of some forecasts in…

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L.P. Model: Minimize Subject to: Z= 15X+12Y 7X+11Y288 16X+4Y280 X,Y 20 (C₁) (C₂) On the graph on right, constraints C, and C₂ have been drawn. Using the point drawing tool, plot all the corner points for the feasible area. 24 22- 20- 18- 16- 14- 12- 10- 8- 6- 4- 2- 10 12 14 16 18 20 22 X