📘 linear programming

1. The problem is to maximize the objective function $Z = 3x + 5y$ given the corner points of the feasible region: $(0,0)$, $(0,6)$, $(4,4)$, and $(6,0)$. 2. We will evaluate $Z$ a

1. Problem Statement: Formulate a linear programming model to maximize the total return from investing in two companies, given investment constraints.

1. The problem is to understand and describe the feasible region for a given system of inequalities or constraints in an optimization or linear programming problem. 2. The feasible

1. **Problem Statement:** We want to determine the number of shares of Company 1 and Company 2 an investor should buy to maximize returns while satisfying investment constraints. 2

1. Misalkan kita pilih soal (a): Maksimumkan fungsi tujuan

1. **State the problem:** We want to maximize the profit from producing two products A and B.

1. The problem involves deciding how many 100-ounce lots of plastic Parket Sisters should buy at $6.00 per ounce (usual cost $5.00 plus $1.00) and determining the optimal product m

1. **State the problem:** We are given a linear programming (LP) problem (P):

1. **Stating the problem:** We want to maximize the objective function

1. Let's first define the concepts in Linear Programming (LP). 2. Alternative optimal solutions occur when multiple optimal points (solutions) yield the same optimal objective valu

1. **State the problem:** We have two refineries with different costs and production capacities.

1. **Problem Statement:** We need to maximize the objective function $$Z = 2X_1 - X_2 + 2X_3$$ subject to the constraints:

1. **State the problem:** We want to minimize the operating cost of two refineries meeting specific oil production demands.

1. **Problem a:** Minimize $w = x_1 + 2x_2$ given constraints: - $x_1 + x_2 \leq -1$

1. **State the problem:** Maximize \( w = -2x_1 + 5x_2 \) subject to: \( x_1 + x_2 \leq 6 \)

1. **State the problem:** Maximize $$w = -2x_1 + 5x_2$$ subject to constraints: $$

1. **Problem Statement:** We have the linear programming problem with objective function $w = \alpha x_1 + x_2$ and constraints:

1. **Problem statement:** We want to maximize $4x_1 + x_2$ subject to the constraints:

1. **State the problem:** We want to minimize the objective function $$Z = 2x_1 + 4x_2$$ subject to the constraints: - $$5x_1 - 3x_2 \geq 15$$

1. **State the problem:** Minimize $Z = 2x_1 + 4x_2$ subject to

1. Diketahui dua campuran logam dengan komposisi per ton (1000 kg): - Campuran I: 50 kg logam utama, 80 kg logam P, 40 kg logam Q