Concept explainers
Fast-Food Sales A small fast-food chain with restaurants in Santa Monica, Long Beach, and Anaheim sells only hamburgers, hot dogs, and milk shakes. On a certain day, sales were distributed according to the following matrix.
The price of each item is given by the following matrix.
- (a) Calculate the product BA.
- (b) Interpret the entries in the product matrix BA.
(a)
To find: The product of matrix A and B.
Answer to Problem 45E
The product of matrix B with matrix A is
Explanation of Solution
Given:
The given matrices are,
Calculation:
Multiply matrix B with matrix A.
Hence, the product of matrix B with matrix A is
(b)
To interpret: The entries of matrix BA.
Answer to Problem 45E
Total sale of Ham-burger is $4590, total sale of Hot dogs is $1440, and Milk shake is $13,270.
Explanation of Solution
Matrix A shows distribution of sales on certain days, rows of A shows the fast food items that are Ham-burger, Hot dogs, Milk shake and column of A shows places where the restaurants are.
Matrix B shows the price of each item.
From part (a),
The rows of this matrix BA shows total price of each item.
And columns of BA shows the fast food items that is Ham-burger, Hot dogs, Milk shake.
Thus, the total sale of Ham-burger is $4590, total sale of Hot dogs is $1440, and Milk shake is $13270.
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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