A carpenter produces chairs, tables, and windows. The following information is provided: 1. Cost of production per unit of chairs, tables, and windows is 2, 4, and 6 respectively, and can be sold at 7, 10, and 12, respectively. 2. Weekly demand on chairs, tables, and windows is expected to not exceed 400, 200, and 100, respectively. 3. Production of the three products requires wood, metal sheets and paint. The following table shows the unit requirement of each of the three materials needed and the availability of each. Weekly Chairs Tables Windows availability Wood 2 3 7 1000 Metal Sheets 1 1 400 - Paint 3 10 2000 4. Production of tables may not exceed twice the units produced of chairs. 5. Total production budget is expected to be 10,000 Pounds every week. Formulate the linear programming model to determine the number of units to produce of the three products such that the net profit is maximized.

A carpenter produces chairs, tables, and windows. The following information is provided: 1. Cost of production per unit of chairs, tables, and windows is 2, 4, and 6 respectively, and can be sold at 7, 10, and 12, respectively. 2. Weekly demand on chairs, tables, and windows is expected to not exceed 400, 200, and 100, respectively. 3. Production of the three products requires wood, metal sheets and paint. The following table shows the unit requirement of each of the three materials needed and the availability of each. Weekly Chairs Tables Windows availability Wood 2 3 7 1000 Metal Sheets 1 1 400 - Paint 3 10 2000 4. Production of tables may not exceed twice the units produced of chairs. 5. Total production budget is expected to be 10,000 Pounds every week. Formulate the linear programming model to determine the number of units to produce of the three products such that the net profit is maximized.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 27EQ

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