Solve Each Problem $[ 14,46518,650 ]$ B) $[ 14,46517,030 ]$ C) $[ 13,20517,030 ]$

question 356

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.

The cost (in cents) for each ingredient when purchased in large lots or small lots is given in matrix B.


Suppose a day's orders consist of 20 dozen sweet rolls, 200 loaves of bread, 50 cakes, and 60 pies. Use matrix multiplication to find a matrix giving the costs under the two purchase options to fill the day's orders.

• A) \([ 14,46518,650 ]\)
• B) \([ 14,46517,030 ]\)
• C) \([ 13,20517,030 ]\)
• D) These matrices cannot be multiplied.

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Definitions:

Bureaucracy

A type of secondary group designed to perform tasks efficiently, characterized by specialization, technical competence, hierarchy, written rules, impersonality, and formal written communication.

Specialization

The process of focusing on a narrow area of knowledge or skill, often leading to increased efficiency and expertise in that area.

Impersonality

A term describing situations or behaviors that lack personal feelings or emotions, often found in formal organizations or bureaucracies to ensure objectivity.

Social Loafing

The tendency of individuals to exert less effort on a task when they are working in a group than when they are working alone.