82 C6-..Draw Design Layout References Mailings Review View Tell meA AE-E-RA ¶s New... 11vUab x, x²AavA.2.A.Part B - Create a scenarioPo1. Construct a table showing:●1678353551_6456254_822.AaBbCcDdErrEmphasisAaBbCcDdiHeading 1AaBbCcDdEeHeading 2AaBb CcDdFHeading 3AaBbCcDdiHeading 4Create a complex scenario on martial arts (judo) or any sort of gym training that investigates the optimal value for acombination of two items. The optimal value can be a minimum or maximum value. The two items need to havebetween 3 and 5 elements required. Make the question difficult to solve and complex.2. State the objective function and determine the constraints for each element.3. Produce a labelled graph showing the feasible region.4.Find the optimal solution by considering the feasible points.5. Determine the wastage or oversupply of elements for the optimal solution.AaBbCeD4FeNormalAaBb CcDdEeStrongthe number of the elements required for each itemthe amount of each element available or the minimum requirements of each element.IAaBbCcDdEe AaBbCcDdiSubtitleTitleCommenStylePan

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Write the correct mathematical models for the objective functions and constraints
San Pascual produces two products, Tory and Burch. Tory requires two hours grating and four hours and painting. Product Burch requires five hours in grating and two hours in painting . The manufacturers has 3 graters and 2 painting machines, therefore in a 40 week there are 120 hours of grating capacity and 80 hours of painting capacity. The profit for Tory is P 3 and Burch P 4 . Prepare the following: Tabular form Objective function Constraints the number of units to maximize the profit ( indicate the maximized profit)
An LP model for a marketing research application uses the variable HD to represent the number of homeowners interviewed during the day. The objective function minimizes the cost of interviewing this and other categories. There is a constraint that HD ≥ 140. The solution indicates that interviewing another homeowner during the day will increase costs by $15.00. What does this tell you about the HD variable? a.The objective function coefficient of HD is 15. b.The dual price for the HD constraint is 15. c.The objective function coefficient of HD is −15. d.The dual price for the HD constraint is −15.
13) Z-Salon profits $12 on each manicure and $18 per haircut. A manicure takes 30 minutes and a haircut takes 50 minutes. There are 5 stylists who each work 6 hours per day (that is a total of 360 min x 5 = 1800 minutes in available labor). The salon can schedule 50 appointments per day. How many manicures and how many haircuts should be scheduled each day in order order to maximize profit? What is the maximum profit? Let’s get you started. Let x = number of manicures Let y = number of haircuts OBJECTIVE The objective (goal) is to maximize profit, P. So the objective equation is P = ______________________________________________ objective equation CONSTRAINTS: 1) 2) 3) 4) Now graph the above system of inequalities (constraints) on your graph paper: Find all vertices (corner points) of your shaded region. Plug them in one at a time into the objective. Note the one which makes P the biggest. This one is our solution. Corner Pt (x,y)…
8.The Pinewood company produces cakes & pastriess. The company has 25 pounds of flour and 16 pounds of sugar. Demand of cakes is limited to 5 per day. Each cakes requires 5 pounds of flour and 2 pounds of sugar. Pastries needs 5 pounds of flour and 4 pounds of sugar. The profit for cake is $1/pcs and for pastries is $5/pcs. The company wants to determine the number of products to maximize profit. A.Formulate the Linear Programming Model B.Solve the problem using mathematical way C.Solve the problem using graphical solution
A manufacturer of refrigerators must ship at least 100 refrigerators to its two warehouses. Each warehouse holds a maximum of 100 refrigerators. Warehouse A holds 40 refrigerators already, while warehouse B has 15 on hand. It costs $10 to ship a refrigerator to warehouse A and $14 to ship one to warehouse B. How many refrigerators should be shipped to each warehouse to minimize cost? Find the objective function and the constraints for the above problem.
59/assignments/318106 Page ne following steps may be helpful for setting up and solving application questions: ep 1: Identify what the problem is asking for. cep 2: Identify the given data and constraints. cep 3: Draw a picture or model to represent the problem in a different way. Dr use the table from Pre-Lecture Module 3 and 5) 11. A legal size sheet of typing paper has length 3 inches less that twice its width. If the area of the paper is 119 inches2, find the dimensions for the sheet of paper.
1. Maximization Model. Answer in complete solution.
Sp
Explain how the various changes to LP affect the optimal solution. a) Changes to the objective function coefficient b) Changes to the RHS of a constraint
please dont give hand written solution
5. A small business enterprise makes dresses and trousers. To make a dress, it requires ½ hour of cutting and 20 minutes of stitching. To make a trouser, it requires 15 minutes of cutting and hour of stitching. The profit on a dress is N$40 and on a pair of trousers N$50. The business operates for a maximum of 8 hours per day Determine how many dresses and trousers should be made to maximize profit and what the maximum profit is. O A The maximum profit is N$800, 10 dresses and 8 trousers OB The maximum profit is N$850, 12 dresses and 6 trousers OC The maximum profit is N$860, 12 dresses and 6 trousers OD The maximum profit is N$880, 12 dresses and 8 trousers

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