Solve Each Problem $1 \times 4$ Matrix And, Using Matrix Multiplication, Write as a Matrix the Items

question 355

Multiple Choice

Solve each problem.
-Le Boulangerie, a bakery, sells four main items: sweet rolls, bread, cakes, and pies. The amount of each ingredient (in cups, except for eggs) required for these items is given by matrix A.


Suppose a day's orders consist of 20 dozen sweet rolls, 200 loaves of bread, 50 cakes, and 60 pies. Write the orders as a $1 \times 4$ matrix and, using matrix multiplication, write as a matrix the amount of each ingredient needed to fill the day's orders.

• A) [510 820150125 250]
• B) [1050 658135125 70]
• C) \(\left[\begin{array}{lllll} 1050 & 820 & 105 & 125 & 70 \end{array}\right]\)
• D) These matrices cannot be multiplied.

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Definitions:

Cephalin

A class of phospholipids found in animal and plant cells, important for the formation of biomembranes and involved in signaling pathways.

Polar Head Group

The part of a molecule (e.g., in a phospholipid) that is hydrophilic due to its electronegativity, leading to interactions with water.

Nonionic Detergent

Detergents that do not carry a charge, making them effective in solubilizing membranes and proteins without affecting their charge.

Molecular Features

The specific structural attributes of a molecule, including shape, functional groups, and bonding patterns.