Word Count : 1103

---

# Determining Total Raw Material Requirements Using Matrix Multiplication Matrix multiplication is an important mathematical technique used in business mathematics and statistics for solving problems related to production planning, resource allocation, inventory control and cost analysis. In a manufacturing business, different products may require different quantities of several raw materials. When a company produces many products in different quantities, calculating the total requirement of every raw material separately can become lengthy and complicated. Matrix multiplication provides a systematic and efficient method for determining the total requirement of each raw material. Suppose a manufacturing firm produces several products and each product requires different quantities of raw materials. The information about the quantity of raw materials required for each unit of product can be represented in the form of a matrix. Similarly, the quantities of different products to be manufactured can be represented by another matrix. By multiplying these matrices in the appropriate order, the total quantity of every raw material required for the planned production can be obtained. Let a firm manufacture three products, namely Product A, Product B and Product C. Assume that ___ _______ __________ ___ _______ _______ ______ _______.
_________ _____ _____ ________ ____ ________ ____.
_______ ______ ____ __________ ___ _________ ___.
__________ ____ ______ ___ ______ _________ ____ _______ ____ ________ ____ _________.
_______ ______ ____ _______ _______ _________ __________ __________ ____.
______ ________ __________ ______ ______ ___ ___ ___ ________.
_____ _____ __________ _________ ___ __________ ________ _____ ____ ____ _____ ______.
_____ ___ __________ _________ _________ ________ ____.
_____ _________ _____ ___ ______ _____.
_________ _________ _______ __________ _________ _______ ____ ___ _____ ______ _______ _______.
____ ___ ____ _____ ______ ___ ___ ______ ______ ____.
______ ________ _________ ______ ________ ________ ____ _______ ____.
________ ________ _________ ____ _________ ____ _________.
_____ ________ __________ _________ ________ ___ __________ __________ __________ __________ ____.
____ _____ _______ __________ _____ ___ ___.
___ _______ ____ __________ _______ ____ _____ _____ ______.
___ _________ ________ ___ ___ ___ _________ ___ ____ _______ _______.
_________ __________ _____ ________ _______.
_______ ______ ______ ____ ______ _________ ____.
________ _____ ________ __________ _____ ___.
_____ __________ ___ ____ ____ _______ ___ ______ _______.
_________ __________ ___ _________ _______ _____ ______ ___ ________ ____ _________.
________ _________ _______ _________ _______ __________ ______ ______.
___ __________ ____ ______ _________ ________.
_________ ____ _____ ___ ___ ______ _______ _________.
_________ _______ _________ ______ ___ _____ ______ _______ ___.
_____ ________ ________ _______ ________ ________ ___ ______ _________ ________ _______.
_______ ________ ______ ____ ___ _____ ______ __________ _________.
____ ______ ________ ____ __________ _________ ____ ___ ____ ______.
__________ __________ ___ ______ _________ __________ ____.
___ ______ _________ _________ ___ _______ ______ _________ _____ _______ _________.
______ ____ __________ ________ _____.
________ _________ ___ __________ _______ ________ ______ _________ _______ _________ ____ ___.
____ ____ __________ __________ _________ _______ _________.
__________ _______ _______ ____ ___ ______.
______ ____ __________ ____ _____ ____ _________ ___ __________ _________ ____ __________.
__________ ____ ________ _____ ______ __________ __________ _______ _______ _______ __________ ______.
_____ _______ _____ _________ _________ __________ __________ __________ _____ __________ _______.
______ ___ _________ __________ ___ ________ _____ ______ ___ ________ ___.
__________ _______ ____ _______ ______ ___ ___ ________.
_______ ________ ____ _______ _____ ______ _________ _________ _________.
______ _____ _________ ______ ________ _________ __________ __________ ________ __________ ____.
_____ _____ ____ ________ __________ _______ __________.
_____ ________ _____ _____ _____ ________ ___ _________ __________ _________.
__________ ____ _____ ___ _______ _____ ____.
______ ______ ____ _____ _____ ________.
______ _____ ______ __________ _______ _____ __________ __________ __________ ____ ___.
_______ _________ ___ __________ ________ ______ ____ ______ _____ _____ ___.
_______ ____ _______ ___ ____ _________ _____ __________ __________ ______ _________.
_____ _______ _________ ___ _______ ________ _______ ________ _______ __________.
____ ________ _______ ___ ____ ____ __________ __________.
_______ _____ _________ __________ ________ ______.
_______ ____ __________ ___ _________ ______ _______ ____.
________ ____ ____ _______ ____ __________ _______ __________ ____ _____ ________ _______.
_____ ___ ____ ___ __________ ______ __________ ___ ____ ____.
__________ __________ _________ _____ _______ ____ __________ ________ ____ __________ ________.
________ __________ ________ _________ _____ __________ _____.
_________ ____ ____ _________ __________ _________ _________ __________ _____ ___.
_____ _______ ____ _____ _________ __________ __________ ____.
_______ _____ _______ _______ _________ ________ ___ ____.
______ _____ _____ ______ ____ _____ _____.
__________ ________ ________ _____ __________ _______ _________ ___ _______ ________ ________ ________.
________ __________ ______ __________ ________ ____ __________.
_________ _______ _________ ___ ________ _____ ___ ___ _______.
______ ___ ________ ________ ____ _____ _______ _________ __________.
_____ _________ ___ __________ _______ ___ ____ _____ ______ ____.
______ ______ _______ _________ __________.
_________ _________ __________ _________ __________ ___ _______ _______ _____ _________ ____.
_____ ________ _________ _________ ___.
____ ____ __________ _________ ________.
__________ _______ __________ ____ ____ ______ ______ __________ ____.
__________ __________ ___ _____ ________ ____ ______ _________ _____ ________.
________ _____ _______ ____ ____.
__________ _____ ___ _________ _________ _____ ________ __________ ___ ________ ___.
____ __________ ______ __________ _______ __________.
______ _________ ______ ______ __________ ___ ______.
________ ________ __________ _______ __________ ______ _________ ______.
__________ ____ _______ ____ _______ ____ ____ _______ ________ ___ ____ ______.
____ __________ __________ ___ _________ ____ ______ ____ _________.
______ __________ _____ _____ ______ ________ _______ __________.
__________ ______ ____ ___ _________ ___ ______ _______ __________.
________ ________ ___ ________ ____ _______ ___ _________.
_______ __________ _____ ____ _________ __________ _________ ____ ______.
_______ ____ ________ ___ _____ _______ _______.
___ ____ ________ ________ _________ _______ __________.
__________ _________ _______ ___ ______ __________ ____ _____ _______ ___.
__________ ___ __________ ________ _______ ______ _____.
_______ ______ ______ ______ ________ _______.
_________ ______ ______ _______ _______ ________ _____ __________.
_____ ________ ________ ___ ________.
_________ _______ _____ _____ ______.
______ ______ ____ _____ _____.
_________ _________ ___ ___ _____ ______ ________ _____ ______ _____ _________.
__________ ___ __________ _______ ___ ______.
___ ____ _____ ___ __________ _________ _______ __________.
__________ _____ ____ _____ _______.
_____ _____ ____ ___ ______ _________.
__________ _________ ______ ____ _____ _____ ________ _________ ___ ____ ___.
_________ ________ _____ ____ ______ ___ _________.
______ ______ __________ ______ ___ _____ _______ ____ __________ ______.
_______ _____ _____ _______ _________.
___ _________ __________ _________ ____ ______ _____ ___ ____.
______ ______ ____ ___ ____ ______ ____ _________ _____ ______ ________.
______ _______ ________ ______ _________ ________ _________ __________.
______ ________ _______ _____ __________ __________ ________ ________ _______ ___ ______ _______.
________ _____ _____ _____ _________ ____ _________.
__________ ____ _____ _____ _________ ___ ______ ______ _______ ______ _____.
____ _____ ____ _____ ___ _________ ________.
Get Full Answer on WhatsApp