Concept explainers
Canning Tomato Products Jaeger Foods produces tomato sauce and tomato paste, canned in small, medium, large, and giant-sized cans. The matrix A gives the size (in ounces) of each container.
The matrix B tabulates one day’s production of tomato sauce and tomato paste.
- (a) Calculate the product AB.
- (b) Interpret the entries in the product matrix AB.
(a)
To find: The product of matrix A and B.
Answer to Problem 47E
The product of matrix A with matrix B is
Explanation of Solution
Given:
Calculation:
Multiply matrix A with matrix B,
Hence, the product of matrix A with matrix B is
(b)
To interpret: The entries of matrix AB.
Answer to Problem 47E
Production of tomato sauces in one day is 105000 ounces, and production of tomato paste is 58000 ounces.
Explanation of Solution
Matrix A gives the size of each container in ounces, rows of A shows the ounces and column of A gives the type of containers by size that is Small, Medium, Large, and Giant respectively.
Matrix B gives one day production of tomato sauce and tomato paste.
From part (a),
The rows of this matrix AB shows the ounces of production and columns of AB shows one day production of tomato sauce and tomato paste.
Thus, the production of tomato sauces in one day is 105000 ounces, and production of tomato paste is 58000 ounces.
Chapter 10 Solutions
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