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Quantitative Analysis for Management
Assignment 1
When solving the following problems kindly show all your work in details!
Question 1: Graphically solve the following problem, After identifying the Decision Variables, Objective Function and Constraints.
A clothing company makes short- sleeve and long- sleeve shirts.
Each long-sleeve shirt nets the company $4 in profit and each short sleeve nets the company $3.
Each shirt must be processed by two sewing machines—Machine I and Machine II.
Long-sleeve shirts require 3 minutes on Machine I and 1 minute on Machine II.
Short-sleeve shirts require 2 minutes on each machine.
Every day, Machine I is available for 10 hours and Machine II is available for 7 hours.
How many shirts of each type should the company produce each day so as to maximize profits?
State Answer below
Question 2: Graphically solve the following problem:
Minimize the cost= X+2Y
Subject to: X+3Y
X,Y
State Answer below
ccQuantitative Analysis for Management
Assignment 1
When solving the following problems kindly show all your work in details!
Question 1: Graphically solve the following problem, After identifying the Decision Variables, Objective Function and Constraints.
A clothing company makes short- sleeve and long- sleeve shirts.
Each long-sleeve shirt nets the company $4 in profit and each short sleeve nets the company $3.
Each shirt must be processed by two sewing machines—Machine I and Machine II.
Long-sleeve shirts require 3 minutes on Machine I and 1 minute on Machine II.
Short-sleeve shirts require 2 minutes on each machine.
Every day, Machine I is available for 10 hours and Machine II is available for 7 hours.
How many shirts of each type should the company produce each day so as to maximize profits?
State Answer below
Question 2: Graphically solve the following problem:
Minimize the cost= X+2Y
Subject to: X+3Y
X,Y
State Answer below
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