You are a woodworker who makes tables and chairs. Each table requires $80 in materials, 4 hrs of labor and earns $70 profit. Each chair requires $80 in materials, 8 hrs of labor, and earns $120 profit. This week you have $960 cash for materials, and 64hrs of labor available. What should you plan to build to maximize your profit
Problem: Maximize: P= X1 + 2X2 +X3 Subject to constraints 3x1 + x2 + x3 <= 3 x1 - 10x2 - 4x3 <=20 x1>= 0 x2>=0 x3 >=0
Formulation for Simplex Method: Variables : F = Full time students P1= Part time attending 3 days P2 = Part time attending 2 days Objective Function : Max Z = 650*F + 460*P1 + 350*P2 Constraints : F + P2<= 50 F + P1<= 50 F,P1,P2 >0
How would I turn this real world problem into a linear programming problem? The licensing capacity of a preschool is 50, which is the constraint. Initially all children attended full time. The changes incorporated were the creation of three different enrollment positions for children to attend our school. One is the normal f
Maximize P= 40x1 + 60x2 + 50x3 Subject to the constraints 2x1 + 2x2 + x3 < = 8 x1 - 4x2 +3x3 < = 12 x1 > = 0 x2 > = 0 x3 > = 0
Two machines produce the same item. Machine A can produce 15 items per/hr and Machine B can produce 10/hr. At least 420 of the items must be produced each 40-hr. week, but the machines cannot be operated at the same time. If it costs $50 per hour to operate A and $30 per hour to operate B, determine how many hours per week to o
Finding the optimal solution, slack variables, and objective function in linear programming using a graphical solution technique. Solution in JPG format.
Using the graphical solution technique, find the optimal solution, value of the objective function and values of the slack variables to this linear programming problem. Min 3x1 + 3x2 s.t. 12x1 + 4x2  48 10x1 + 5x2  50 4x1 + 8x2  32