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1 vote
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)

User Kalif
by
8.0k points

1 Answer

3 votes

Final answer:

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.

User OGrandeDiEnne
by
7.6k points
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