Question

Find the maximum for the profit function,

P = 2x+10y
subject to the following constraints.
4x + 2y ≤ 5
-3x+y 2-2
X>0
(y ≥0
4x + 2y ≤ 5
-3x + y 2 -2
Round your answer to the nearest cent (hundredth).

Answer 1

To find the maximum for the profit function, P = 2x + 10y, subject to the given constraints, we can use the method of linear programming.

Step-by-step explanation:

To find the maximum for the profit function, P = 2x + 10y, subject to the given constraints, we can use the method of linear programming. First, graph the constraints and shade the feasible region. Then, evaluate the profit function at each corner point of the feasible region to find the maximum profit. The corner point with the highest profit is the maximum.

The constraints are as follows:

• 
  
• 4x + 2y ≤ 5
• 
  
• -3x + y ≥ 2
• 
  
• x > 0
• 
  
• y ≥ 0

By graphing these constraints, we find the feasible region. Evaluating the profit function at each corner point of the feasible region, we find the maximum profit.

Answer 2

The maximum value of the profit function occurs at the corner point with the highest value, which is P2 = 25.

Therefore, the maximum profit is $25.

Step-by-step explanation: