1. ASSIGNMENT METHOD A factory manager has 5 employees, and 5 tasks to be performed. Below is the effectiveness matrix that estimates the times each man would take to perform the task. Allocate the tasks to minimize the total man hours. TASKS A B C 3 21 12 12 EMPLOYEES 23 21 13 14 8 10 14 21 13 13 7 1 8. co 4,

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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Please answer these two problems; assignment method and least cost method. Thank you!

II. PROBLEM SOLVING (25 POINTS)
Directions: Solve the given problem using the indicated method to determine the minimum optimal requirements and
feasible solution.
1. ASSIGNMENT METHOD
A factory manager has 5 employees, and 5 tasks to be performed. Below is the effectiveness matrix that estimates the times
each man would take to perform the task. Allocate the tasks to minimize the total man hours.
TASKS
A
в
DE
1
21
12
12
EMPLOYEES
8.
23
21
3
13
14
10
14
21
13
13
7
1
8
3
2. Use the LEAST COST METHOD to determine the minimum transportation cost. Identify the Basic Initial
Feasible solution and optimal solution.
Destinations
Supermarket X Supermarket Y Supermarket Z
Stock
Sources
Warehouse A
Warehouse B
Warehouse C
Demand
4
6.
13
3
4.
9.
12
10
11
13
3.
4.
Transcribed Image Text:II. PROBLEM SOLVING (25 POINTS) Directions: Solve the given problem using the indicated method to determine the minimum optimal requirements and feasible solution. 1. ASSIGNMENT METHOD A factory manager has 5 employees, and 5 tasks to be performed. Below is the effectiveness matrix that estimates the times each man would take to perform the task. Allocate the tasks to minimize the total man hours. TASKS A в DE 1 21 12 12 EMPLOYEES 8. 23 21 3 13 14 10 14 21 13 13 7 1 8 3 2. Use the LEAST COST METHOD to determine the minimum transportation cost. Identify the Basic Initial Feasible solution and optimal solution. Destinations Supermarket X Supermarket Y Supermarket Z Stock Sources Warehouse A Warehouse B Warehouse C Demand 4 6. 13 3 4. 9. 12 10 11 13 3. 4.
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