Patches is a cat who eats cat food for breakfast. Patches requires a breakfast diet that includes at least 40g of protein, at least 90g of iron but no more than 144g of carbs a week. His two favourite brands are Kitty Kibble and Cat Snack. Kitty Kibble contains 1g of protein, 11g of iron and 6g of carbohydrates per box. Cat Snack contain 5g of protein, 5g of iron and 6g of carbs per box. Kitty Kibble costs $5.50 a box, Cat Snack costs $2 a box. Patches' owner wants to minimise how much money they spend on cereal while meeting Patches' dietary requirements. 1. Construct a table showing: the number of the elements required for each item 6. ● the amount of each element available or the minimum requirements of each element. 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. Determine the impact of adding a further constraint (such as a time limit).
Patches is a cat who eats cat food for breakfast. Patches requires a breakfast diet that includes at least 40g of protein, at least 90g of iron but no more than 144g of carbs a week. His two favourite brands are Kitty Kibble and Cat Snack. Kitty Kibble contains 1g of protein, 11g of iron and 6g of carbohydrates per box. Cat Snack contain 5g of protein, 5g of iron and 6g of carbs per box. Kitty Kibble costs $5.50 a box, Cat Snack costs $2 a box. Patches' owner wants to minimise how much money they spend on cereal while meeting Patches' dietary requirements. 1. Construct a table showing: the number of the elements required for each item 6. ● the amount of each element available or the minimum requirements of each element. 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. Determine the impact of adding a further constraint (such as a time limit).
Chapter4: Systems Of Linear Equations
Section4.4: Solve Systems Of Equations With Three Variables
Problem 4.71TI: The community college fine arts department sold three kinds of tickets to its latest dance...
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Transcribed Image Text:Patches is a cat who eats cat food for breakfast. Patches requires a breakfast diet that includes at least 40g of protein,
at least 90g of iron but no more than 144g of carbs a week.
His two favourite brands are Kitty Kibble and Cat Snack. Kitty Kibble contains 1g of protein, 11g of iron and 6g of
carbohydrates per box. Cat Snack contain 5g of protein, 5g of iron and 6g of carbs per box.
Kitty Kibble costs $5.50 a box, Cat Snack costs $2 a box.
Patches' owner wants to minimise how much money they spend on cereal while meeting Patches' dietary
requirements.
1. Construct a table showing:
●
the number of the elements required for each item
the amount of each element available or the minimum requirements of each element.
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.
6.
Determine the impact of adding a further constraint (such as a time limit).
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