65. Buying Vegetables Magda and Ivan grow tomatoes, onions, and zucchini in their backyard and sell them at a roadside stand on Saturdays and Sundays. They price tomatoes at $1.50 per pound, onions at $1.00 per pound, and zucchini at 50 cents per pound. The following table shows the number of pounds of each type of produce that they sold during the last weekend in July. Tomatoes Onions Zucchini 30 Saturday Sunday 25 16 14 12 16 (a) Let 1.50 25 A = 14 16 30 and В 1.00 12 16 0.50 Compare these matrices to the data given in the problem, and describe what their entries represent. (b) Only one of the products AB or BA is defined. Calculate the product that is defined, and describe what its entries represent.
65. Buying Vegetables Magda and Ivan grow tomatoes, onions, and zucchini in their backyard and sell them at a roadside stand on Saturdays and Sundays. They price tomatoes at $1.50 per pound, onions at $1.00 per pound, and zucchini at 50 cents per pound. The following table shows the number of pounds of each type of produce that they sold during the last weekend in July. Tomatoes Onions Zucchini 30 Saturday Sunday 25 16 14 12 16 (a) Let 1.50 25 A = 14 16 30 and В 1.00 12 16 0.50 Compare these matrices to the data given in the problem, and describe what their entries represent. (b) Only one of the products AB or BA is defined. Calculate the product that is defined, and describe what its entries represent.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:65. Buying Vegetables Magda and Ivan grow tomatoes, onions,
and zucchini in their backyard and sell them at a roadside
stand on Saturdays and Sundays. They price tomatoes at
$1.50 per pound, onions at $1.00 per pound, and zucchini at
50 cents per pound. The following table shows the number of
pounds of each type of produce that they sold during the last
weekend in July.
Tomatoes
Onions
Zucchini
30
Saturday
Sunday
25
16
14
12
16
(a) Let
1.50
25
A =
14
16
30
and
В
1.00
12
16
0.50
Compare these matrices to the data given in the problem,
and describe what their entries represent.
(b) Only one of the products AB or BA is defined. Calculate
the product that is defined, and describe what its entries
represent.
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