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?
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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Solve for e and g.
Transcribed Image Text: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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