A bakery sells three types of cakes, each requiring the amounts of the basic ingredients shown in the following matrix.

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A Bakery Sells Three Types Of Cakes Each Requiring The Amounts Of The Basic Ingredients Shown In The Following Matrix 1 (26.63 KiB) Viewed 40 times

A bakery sells three types of cakes, each requiring the amounts of the basic ingredients shown in the following matrix. Type of Cake Ï Flour (in cups) Sugar (in cups) Eggs 3 9 3 1 3 3 3 1 4 To fill its daily orders for these three kinds of cakes, the bakery uses 135 cups of flour, 63 cups of sugar, and 74 eggs. Complete parts (a) through (c) below. Ingredient O A. 74 (b) Let 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 from part (a). 3 3 9 X₁ -08 O B. 3 1 3 X₂ 3 1 4 X3 3 9 3 1 3 3 1 4 C (c) Solve the equation from part (b) to find the number of daily orders for each type of cake. There are of type I, of type II, and of type III. 135 63 74