In its average daily food consumption, a predatory animal needs 10 units of nutrient A, 12 unitsof nutrient B and 12 units of nutrient C. These requirements are satisfied by hunting two types ofspecies. A species I prey supplies 5, 2 and 1 units of nutrients A, B and C, respectively. A species IIprey provides 1, 2 and 4 units of nutrients A, B and C, respectively. Capturing and digesting aspecies I prey requires 3 units of energy on average. The corresponding energy expenditure forspecies II is 2 units. Formulate a Linear Programming model that is useful to determine howmany preys of each species the predator must capture to satisfy its nutritional needs whilespending minimal energy.Gets the standard form and canonical systemPerform each step of the simplex method with artificial variables in tabular form to obtain anoptimal solution. Include tables from all iterations.Interpret the optimal solution.*Please be as clear and legible as possible. Show and explain in detail each step. Thank you a lot.

Given information:Predator's daily nutrient requirements: of A, of B, and of C.Species I supplies:…

Answered: In its average daily food consumption,…

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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A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply 6 units of protein 4 units of carbohydrates, and 4 unit of fat, and will contain 18 calories. Each K ounce of nuts will supply 3 units of protein, 3 unit of carbohydrate, and 5 units of fat, and will contain 29 calories. Every package must provide at least 6 units of protein, at least 10 units of carbohydrates, and no more than 11 units of fat. What is the least number of calories possible in a package? Write out the inequality for protein using x and y as your variables for ounces of fruit and nuts respectively (Use variables in order) Write out the inequality for carbohydrates using x and y as your variables for ounces of fruit and nuts respectively (Use variables in order) 0 Write out the inequality for fat using x and y as your variables for ounces of fruita my instructor srespectively (Use variables in order)
chocolate manufacture sells three types of chocolate: A, B, and C. All three types require Milk and choco but types 2 & 3 require peanuts also. Each unit of A requires 1 unit of milk and 2 units of choco. Each unit of B needs 1 unit of milk, 3 units of choco, and 40 grams of peanuts. Each unit of C requires 1 unit of milk, 1 unit of choco and 50 grams of peanuts. Each working day, the company has 25 units of milk, 50 units of choco and 1.5 kilograms (Kg) of peanuts. The time required to manufacture each unit of A is 20 minutes, each unit of B is 25 minutes, and each unit of C is 30 minutes. The cost of each unit of milk is $0.5, each unit of choco is $1.5, and each 1 Kg of peanuts is $5. The company sells each unit of A at $4, each unit of B at $6, and each unit of C at $8. Each working day, the manufacture has 4 hours available for making all three types of chocolate. Formulate an LP that can be used to maximize the manufacture daily profit? (DO NOT SOLVE).
A manufacturer produces three products; Product A, Product B and Product C. To be able to produce each product he uses a combination of three distinct inputs namely Input I, Input II, and Input III the supply of which is currently at 300, 545 and 430 units, respectively. Each unit of Product A requires 2 units of Input I, 5 units of Input II and 1 unit of Input III to be produced. Similarly, each unit of Product B requires 3 units of Input 1 and 3 units of Input II while Product C uses 1 unit of Input I, 2 units of Input II and 4 units of Input III. How many units of each product can be produced? Hi again, This is another matrixes question and still getting problems with them

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