A bakery sells three types of cakes, each requiring the amounts of the basic ingredients shown in the following matrix.Type of CakeI|| |||39 3313312Flour (in cups)Sugar (in cups)EggsTo fill its daily orders for these three kinds of cakes, the bakery uses 144 cups of flour, 72 cups of sugar, and 59 eggs. Complete parts (a) through (c) below.Ingredient(a) Write a 3 x 1 matrix for the amounts used daily.The matrix is(b) Let the number of daily orders for cakes be a 3× 1 matrix X with entries X₁, X2, and X3. Write a matrix equation that can be solved for X, using the given matrix and the matrix from part (a).There are3339 31 3 =12(c) Solve the equation from part (b) to find the number of daily orders for each type of cake.of type I,of type II, and of type III.B.3 9 331331 2=

kery sells three types of cakes, each requiring the amounts of the basic ingredients shown in the following matrix. Type of Cake I II III Flour (in cups) 3 9 3 3 1 3 Sugar (in cups) Eggs 3 1 2 its daily orders for these three kinds of cakes, the bakery uses 144 cups of flour, 72 cups of sugar, and 59 eggs. Complete parts (a) through (c) below. Ingredient Write a 3x 1 matrix for the amounts used daily. matrix is et the number of daily orders for cakes be a 3x1 matrix X with entries X₁, X₂, and x3. Write a matrix equation that can be solved for X, using the given matrix and the matrix f 3 93 3 1 3 3 1 2 = C olve the equation from part (b) to find the number of daily orders for each type of cake. e are of type I, of type II, and of type III. O B. 3 3 3 93 1 3 1 2

kery sells three types of cakes, each requiring the amounts of the basic ingredients shown in the following matrix. Type of Cake I II III Flour (in cups) 3 9 3 3 1 3 Sugar (in cups) Eggs 3 1 2 its daily orders for these three kinds of cakes, the bakery uses 144 cups of flour, 72 cups of sugar, and 59 eggs. Complete parts (a) through (c) below. Ingredient Write a 3x 1 matrix for the amounts used daily. matrix is et the number of daily orders for cakes be a 3x1 matrix X with entries X₁, X₂, and x3. Write a matrix equation that can be solved for X, using the given matrix and the matrix f 3 93 3 1 3 3 1 2 = C olve the equation from part (b) to find the number of daily orders for each type of cake. e are of type I, of type II, and of type III. O B. 3 3 3 93 1 3 1 2

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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Question

A bakery sells three types of cakes, each requiring the amounts of the basic ingredients shown in the following matrix.
Type of Cake
I
|| |||
3
9 3
3
1
3
3
1
2
Flour (in cups)
Sugar (in cups)
Eggs
To fill its daily orders for these three kinds of cakes, the bakery uses 144 cups of flour, 72 cups of sugar, and 59 eggs. Complete parts (a) through (c) below.
Ingredient
(a) Write a 3 x 1 matrix for the amounts used daily.
The matrix is
(b) Let the number of daily orders for cakes be a 3× 1 matrix X with entries X₁, X2, and X3. Write a matrix equation that can be solved for X, using the given matrix and the matrix from part (a).
There are
3
3
3
9 3
1 3 =
1
2
(c) Solve the equation from part (b) to find the number of daily orders for each type of cake.
of type I,
of type II, and of type III.
B.
3 9 3
3
1
3
3
1 2
=

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