In this task, you are asked to formulate the linear programming problem below and then solve it. A carpenter produces Tables (T) and Chairs (C). Each Table unit requires 6kg of wood and 1kg of plastic. Each Chair unit requires 4kg of wood and 4kg of plastic. The carpenter has only 100kg of wood and only 50kg of plastic in stock. On each sale, the carpenter makes a profit of £15 per Table unit sold and a profit of £30 per Chair unit sold. Required: Formulate the Linear Programming problem above by defining the variables, stating the object function and the constraints. You are required to produce the graph for all inequalities (copy image to Word) Find the quantity to make of Tables and Chairs to maximise profit.
In this task, you are asked to formulate the linear programming problem below and then solve it. A carpenter produces Tables (T) and Chairs (C). Each Table unit requires 6kg of wood and 1kg of plastic. Each Chair unit requires 4kg of wood and 4kg of plastic. The carpenter has only 100kg of wood and only 50kg of plastic in stock. On each sale, the carpenter makes a profit of £15 per Table unit sold and a profit of £30 per Chair unit sold. Required: Formulate the Linear Programming problem above by defining the variables, stating the object function and the constraints. You are required to produce the graph for all inequalities (copy image to Word) Find the quantity to make of Tables and Chairs to maximise profit.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Task 4
In this task, you are asked to formulate the linear programming problem below and
then solve it.
A carpenter produces Tables (T) and Chairs (C).
Each Table unit requires 6kg of wood and 1kg of plastic.
Each Chair unit requires 4kg of wood and 4kg of plastic.
The carpenter has only 100kg of wood and only 50kg of plastic in stock.
On each sale, the carpenter makes a profit of £15 per Table unit sold and a profit of
£30 per Chair unit sold.
Required:
Formulate the Linear Programming problem above by defining the variables,
stating the object function and the constraints.
You are required to produce the graph for all inequalities (copy image to Word)
Find the quantity to make of Tables and Chairs to maximise profit.
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