PLEASE HELP ASZP Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry food costs $1, and a serving of wet food costs $3. This system of inequalities models the scenario: x + 3y ≤ 8 x + y ≥ 2 Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set. (4 points) Part B: Is the point (8, 2) included in the solution area for the system? Justify your answer mathematically. (3 points) Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)

The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon.

Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set.

A graph is attachted with this, which shows proper explanation for part A.

Part B: Is the point (8, 2) included in the solution area for the system?

Point (8,2) lie outside the shaded solution area. Thus it is not part of the solution to this problem.

Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context.

For example points (-1,3), (0,2), (2,0), (8,0) and others more are solutions of the region which has been made by the inequality. In the real world, it means that any of the points in the shaded region will give an optimum solution in the case of cost functions thus maximizing profits.

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