Question

Maximize 10x+35y

subject to:
8x + 6y ≤ 48 (broad-feet of lumber)
4x + y ≤ 20 (hours of carpentry)
Y ≥ 5 (demand)
X, Y ≥ 0 (nonnegativity)

Answer 1

To maximize the objective function 10x + 35y subject to the given constraints, we can use the graphical method or linear programming software to find the optimal solution.

Step-by-step explanation:

The given problem is a linear programming problem where we need to maximize the objective function 10x + 35y subject to the given constraints:

• 8x + 6y ≤ 48
• 4x + y ≤ 20
• y ≥ 5
• x, y ≥ 0

To solve the problem, we can use graphical method or linear programming software to find the maximum values of x and y that satisfy all the constraints. The optimal solution will be the point where the line representing the objective function intersects the feasible region.