Design (variables - function - constraints) the appropriate linear programming model to solve this problem.

Use the graph above to answer the questions which follow. State, using arguments based on the graph, whether the cricket club can (iii) have as members: 10 boys and 5 girls 6 boys and 6 girls. ( 2 marks) Write down the set of THREE inequalities that define the shaded region. ( 4 marks)

Linear programming uses linear algebraic relationships to represent a firm’s decisions, given a business objective, and resource constraints. Steps in application: 1. Identify problem as solvable by linear programming. 2. Formulate a mathematical model of the unstructured problem. 3. Solve the model. 4. Implementation Introduction

Formulate Ernesto's situation as a linear programming problem. On Figure 3, draw a suitable diagram to enable the problem to be solved graphically, indicating the feasible region and the direction of the objective line.

This document contains 100 exam questions on the topic of linear programming. Each question is numbered but no other details are provided about the content or nature of the questions. The questions span from number 1 to number 100 in sequential order.

discuss the applications and limitations of linear programming problems; formulate the linear programming problems; explain how linear programming problems are solved graphically; and express the linear programming problems to their canonical and standard form.

Solve the following linear programming problem using the Simplex algorithm with Bland’s rule: min 3x1 + x2 + x3 s.t. 2x1 + x2 + x3 = 6 x1 + x2 + 2x3 = 2 x1;x2;x3 0: Solution We will execute the two-phase simplex method. In phase one we try to nd a basic feasible expressed in canonical form. The auxiliary problem is: min w1 + w2 s.t. 2x1 + x2 ...

Solve the following liner programming problem by Big M-method and show that the problem has finite optional has finite optimal solutions. Also Find the value of the objective Function: [20 Marks]

a) Formulate a mathematical model for the given information? b) According to your analysis, what level of output should Tata Steel produce so as to maximize profit? Use the graphical method to explain your analysis. c) What is the maximum profit? a) Let us first organize the data in a table.

Set up a linear programming problem to answer the question, What quantities of milk and corn flakes should Donald use to minimize the cost of his breakfast? Then solve this problem using Mathematica’s Minimize command.