Questions: The Corner Points of the Feasible Region and the calculated Profit that would be mas at each point are as follows: The weekly production quantities that result in the maximum profit are:

Solution Steps

To solve this problem, we need to identify the corner points of the feasible region and calculate the profit at each point. The goal is to find the point that yields the maximum profit. This involves iterating through the given corner points, calculating the profit for each, and then determining which point provides the highest profit.

To solve the given problem, we need to determine the weekly production quantities that result in the maximum profit based on the corner points of the feasible region. However, the table provided in the question is incomplete, so we will assume hypothetical values for the purpose of demonstrating the solution process.

Assume the corner points of the feasible region are given as follows:

• Point 1: \((x_1, y_1) = (0, 0)\) with a profit of \$0
• Point 2: \((x_2, y_2) = (10, 0)\) with a profit of \$100
• Point 3: \((x_3, y_3) = (0, 20)\) with a profit of \$200
• Point 4: \((x_4, y_4) = (5, 15)\) with a profit of \$250

The profit at each corner point is already provided. We will list them for clarity:

• Profit at Point 1: \$0
• Profit at Point 2: \$100
• Profit at Point 3: \$200
• Profit at Point 4: \$250

Compare the profits at each corner point to find the maximum:

• Maximum profit is \$250 at Point 4 \((x_4, y_4) = (5, 15)\).

Final Answer