Chapter 11.2, Problem 55E

### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

Chapter
Section

### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# APPLICATIONSFrozen-Food Revenue Some of the frozen foods that Joe’s Specialty Foods sells are pesto pizza, spinach ravioli, and macaroni and cheese. The sales distribution for these products is tabulated in Matrix A . The retail price (in dol1ar) for each item is tabulated in Matrix B .(a) Calculate the product matrix A B .(b) What is the total revenue for Monday?(c) What is the total revenue from all three days? Speciality Food Pizza Ravioli Mac&Cheese MondayTuesdayWednesday [ 50 20 15 40 75 20 35 60 100 ] = A Price ($) PizzaRavioliMac & Cheese [ 3.50 5.75 4.25 ] = B To determine (a) To find: The product matrix AB. Explanation Given: Some of the frozen foods that Joe’s Specialty Foods sells are pesto pizza, spinach ravioli, and macaroni and cheese. The sales distribution for these products is tabulated in Matrix A. The retail price (in dol1ar) for each item is tabulated in Matrix B.  Speciality Food Pizza Ravioli Mac&Cheese MondayTuesdayWednesday [5020154075203560100] =A Price ($) PizzaRavioliMac & Cheese [3.505.754.25]=B

Approach:

Two matrices A and B can be multiplied if and only if the number of columns in A is same as the number of rows in B.

If A=[aij] is an m×n matrix and B=[bij] an n×k matrix, then their product is the m×k matrix C=[cij], where cij is the inner product of the ith row of A and the jth column of B.

Calculations:

Consider the matrix operation AB and the given matrices A=[5020154075203560100] and B=[3

To determine

(b)

To find:

The total revenue for Monday.

To determine

(c)

To find:

The total revenue from all three days.

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