Solve the following linear programming problems using the graphical solution. And please identify the feasible regions, feasible
Question:
Solve the following linear programming problems using the graphical solution. And please identify the feasible regions, feasible corner points and the optimal solutions.
1. Profit Maximization for Corn-Soybean Farm (25 points)
Resources Amount Crop Production Enterprise
Constraints Available Corn Soybean
a) Crop land 400 acres 1 1
b) Family labor 225 hours 0.45 0.60
c) Operating capital P 35,000.00 110 60
Net Income per acre P150.00 P140.00
2. Net Return Maximization for Rice-Corn Farm Enterprise (30 points)
Resources Amount Crop Production Enterprise
Constraints Available Corn Rice
a) Crop land 10 acres 1 1
b) Labor for land preparation 75 hours 10 0
c) Labor for planting 200 hours 8 8
d) Labor for harvesting 160 hours 8 20
Net Return per acre P400.00 P300.00
3. Minimization Problem (15 points)
Minimize z = 4x1 + 3x2
Subject to: 2x1 + x2 ? 10
-3x1 + 2x2 ? 6
x1 + x2 ? 6
x1, x2 ? 0