Do a). A mini zoo is engaged in animal breeding where the animals require three different nutrientseveryday. The minimum requirement for calories is 216g per day while the minimumrequirement for protein and sodium is 72g and 200mg per day, respectively. Zookeeper wouldlike to give the animals a mix of product Alpha and product Beta to provide the minimumnutritional requirement. The product cost per unit of Alpha is Rp. 40 and the product cost perunit of Beta is Rp. 80. A unit of product Alpha contains 72g of calories, 6g of protein and 40mgof sodium. While a unit of product Beta contains 12g, 24g and 20mg of calories, protein andsodium, respectively.(a) Formulate a linear programming model on deciding the mix number unit of product in orderto provide the minimum nutritional requirement with the minimum cost.(b) Find the feasible region by using graphical method and list all the extreme points.(c) What is the optimal mix number unit of product in order to provide the minimum nutritionalrequirement with the minimum cost? State the minimum cost required.(d) If a small change occur for the product cost of Alpha; in what small range of the changecould remains the current optimal?(e) On the basis of (d), compute the objective coefficient range for product Alpha.

Answered: Image /qna-images/answer/55312dfd-3039-4d2f-b064-b9bd04f65aa6.jpg

Answered: A mini zoo is engaged in animal…

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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Compute the relative efficiency of this design over RCBD.
Although millions of elephants once roamed across Africa, by the mid-1980s elephant populations in African nations had been devastated by poaching. Elephants are important to African ecosystems. In tropical forests, elephants create clearings in the canopy that encourage new tree growth. In savannas, elephants reduce bush cover to create an environment that is favorable to browsing and grazing animals. In addition, the seeds of many plant species depend on passing through an elephant’s digestive tract before germination. The status of the elephant now varies greatly across the continent. In some nations, strong measures have been taken to effectively protect elephant populations; for example, Kenya has destroyed over five tons of elephant ivory confiscated from poachers in an attempt to deter the growth of the illegal ivory trade (Associated Press, July 20, 2011). In other nations, the elephant populations remain in danger due to poaching for meat and ivory, loss of habitat, and…
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Approaching the month of Ramadan, PT Prima Sehat predicts that there will be an increase in demand for electronic goods, both TVs and microwaves. All of these electronic products have the same processing process, but have different processing times. For TV requires 4 hours of electronic processing and 2 hours of assembly. While the microwave requires 3 hours of electronic processing time and 1 hour of assembly. Of the current capacity, there is a working time for electronics as much as 240 hours, and per work time as much as 100 hours. The profit for each product is 7 (in tens of thousands) and 5 (in tens of thousands). Please use the simplex method linear programming method to solve the above case
You are an orange farmer experimenting with a new fertiliser. Having divided your orchard into numerous sub-plots, you applied different concentrations of this fertiliser on each of the plots and measured the yield of oranges in kilograms per acre. It is worth noting that too little fertiliser had very little effect on the yield and too much fertiliser ended up stunting fruit growth and reducing your yield. To work out the optimal fertiliser concentration, which two numerical methods would you need and which order would you need to apply them in? a. Curve fitting, followed by solving an ODE. b. Solving an ODE followed by root-finding applied to the derivative of the resultant curve. c. Root finding followed by numerical integration. d. Solving a system of linear equations followed by solving an ODE. e. Numerical integration followed by solving an ODE. f. Curve fitting, followed by numerical integration. g. Curve fitting followed by root-finding…
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