Answered: e) Can Jimmy's dietary requirements be…

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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Question

Solve for e and g.

e) Can Jimmy's dietary requirements be met by using only one of the cereals? Explain your answer.
g) The cost of Kendrick Krunch is $6 per box. The cost of Corn Drakes is $3 per box.
Therefore, the objective function for the cost of Jimmy's cereal mixture is: C = 6x + 3y
i) Given the objective function above, complete the table below
Vertex/Feasible Solution
(0, 22)
(0,___________)
(5,7)
(17.5, 4.5)
$6.60
$
C = 6x + 3y
$
ii) What combination of cereals should Jimmy eat daily to meet his dietary requirements and minimise his
costs?

Transcribed Image Text:6. Jimmy likes to eat cereal for breakfast and requires a breakfast diet that includes at least 900g of carbohydrates, at least 400g of iron but no more than 1320g of sugar a week. His two favourite brands are Kendrick Krunch and Corn Drakes. Kendrick Krunch contains 110g of carbohydrates, 10g of iron and 60g of sugar per box. Corn Drakes contain 50g of carbohydrates, 50g of iron and 60g of sugar per box. Kendrick Krunch costs $6 a box, Corn Drakes cost $3 a box. Jimmy wants to minimise how much money he spends on cereal while meeting his dietary requirements. Cereal Brand Carbohydrates (g) Iron (g) Sugar (g) Kendrick Krunch Corn Drakes Macronutrients. Required 110 50 10 Let: "x" be the number of boxes of Kendrick Krunch "y" be the number of boxes of Corn Drakes 50 60 a) Fill in the 3 empty "Macronutrient Totals" cells in the table above according to Jimmy's dietary requirements outlined above. c) Write the Protein constraint to slope-intercept form. 60

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