Question 1A factory manufactures two (2) types of chairs, wooden-typed and stainless steel-typed. Eachunit of these chairs undergoes three (3) processes, namely production, assembling, andfinishing. The production process is performed in Production Department, the assemblingprocess in Assembling Department, and finishing process in Finishing Department. The timetaken for each unit of the product in each department and the profit per unit of chair areshown in the table below.Time (min) required per unit of the productDepartmentWoodenStainless steelProduction23Assembling21Finishing11Profit per unit (RM)45The Production, Finishing, and Assembling Departments will operate for 16 hours, 12 hours,and 8 hours in a day, respectively.a) By using x to represent the quantity of wooden chairs and y to represent the quantityof stainless-steel chairs, formulate the linear programming problem above into amathematical model.b) Using 2cm = 80 units on x-axis and 2cm = 80 units on y-axis, by the graphicalmethod, find the number of wooden and stainless-steel chairs that have to beproduced in order for the manufacturer to obtain the maximum profit.

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Description: Question 1A factory manufactures two (2) types of chairs, wooden-typed and stainless steel-typed. Eachunit of these chairs undergoes three (3) processes, namely production, assembling, andfinishing. The production process is performed in Production

a) Given: x = Quantity of wooden chairs y = Quantity of stainless-steel chairs The optimization…

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Question 1 A factory manufactures two (2) types of chairs, wooden-typed and stainless steel-typed. Each unit of these chairs undergoes three (3) processes, namely production, assembling, and finishing. The production process is performed in Production Department, the assembling process in Assembling Department, and finishing process in Finishing Department. The time taken for each unit of the product in each department and the profit per unit of chair are shown in the table below. Time (min) required per unit of the product Department Wooden Stainless steel Production 3 Assembling 1 Finishing 1 Profit per unit (RM) 4 5 The Production, Finishing, and Assembling Departments will operate for 16 hours, 12 hours, and 8 hours in a day, respectively. a) By using x to represent the quantity of wooden chairs and y to represent the quantity of stainless-steel chairs, formulate the linear programming problem above into a mathematical model. b) Using 2cm =80 units on x-axis and 2cm = 80 units on y-axis, by the graphical method, find the number of wooden and stainless-steel chairs that have to be produced in order for the manufacturer to obtain the maximum profit.

Question 1 A factory manufactures two (2) types of chairs, wooden-typed and stainless steel-typed. Each unit of these chairs undergoes three (3) processes, namely production, assembling, and finishing. The production process is performed in Production Department, the assembling process in Assembling Department, and finishing process in Finishing Department. The time taken for each unit of the product in each department and the profit per unit of chair are shown in the table below. Time (min) required per unit of the product Department Wooden Stainless steel Production 3 Assembling 1 Finishing 1 Profit per unit (RM) 4 5 The Production, Finishing, and Assembling Departments will operate for 16 hours, 12 hours, and 8 hours in a day, respectively. a) By using x to represent the quantity of wooden chairs and y to represent the quantity of stainless-steel chairs, formulate the linear programming problem above into a mathematical model. b) Using 2cm =80 units on x-axis and 2cm = 80 units on y-axis, by the graphical method, find the number of wooden and stainless-steel chairs that have to be produced in order for the manufacturer to obtain the maximum profit.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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