Part A-Patches' Cat Food 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 $4 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: ● ● 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. Now investigate changes to the original scenario such as: ● the number of the elements required for each item the amount of each element available or the minimum requirements of each element. ● the impact on the optimal value when the objective function is changed the impact on the optimal value, and wastage and oversupply, when changes are made to the original constraints by: O changing the available amounts of minimal requirements O changing the number of elements or items required adding a further constraint (such as a time limit). 0 0
Part A-Patches' Cat Food 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 $4 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: ● ● 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. Now investigate changes to the original scenario such as: ● the number of the elements required for each item the amount of each element available or the minimum requirements of each element. ● the impact on the optimal value when the objective function is changed the impact on the optimal value, and wastage and oversupply, when changes are made to the original constraints by: O changing the available amounts of minimal requirements O changing the number of elements or items required adding a further constraint (such as a time limit). 0 0
Chapter12: Developing And Managing Products
Section12.1: Sriracha Heats Up The Hot Sauce Market
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Part A Patches' Cat Food
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 $4 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:
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.
Now investigate changes to the original scenario such as:
English (Australia)
the number of the elements required for each item
the amount of each element available or the minimum requirements of each element.
●
the impact on the optimal value when the objective function is changed
the impact on the optimal value, and wastage and oversupply, when changes are made to the original
constraints by:
O
O
O
changing the available amounts of minimal requirements
changing the number of elements or items required
adding a further constraint (such as a time limit).
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