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The President of a Consulting Firm Wants to Minimize the Total

question 28

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The president of a consulting firm wants to minimize the total number of hours it will take to complete four projects for a new client. Accordingly, she has estimated the time it should take for each of her top consultants-Charlie, Betty, Johnny, and Rick-to complete any of the four projects, as follows:  Project (Hours)   Consultant  A  B  C  D  Charlie 13161113 Betty 11151418 Johnny 15221215 Rick 17171222\begin{array} { c } \quad \quad \quad \quad \quad { \text { Project (Hours) } } \\\begin{array} { l c c c c } \text { Consultant } & \text { A } & \text { B } & \text { C } & \text { D } \\\hline \text { Charlie } & 13 & 16 & 11 & 13 \\\text { Betty } & 11 & 15 & 14 & 18 \\\text { Johnny } & 15 & 22 & 12 & 15 \\\text { Rick } & 17 & 17 & 12 & 22\end{array}\end{array} In how many different ways can she assign these consultants to these projects?


Definitions:

Periodic Inventory System

An accounting method that records inventory purchases and sales periodically, often at the end of an accounting period, instead of continuously updating stock levels.

Cost of Goods Sold

The direct costs attributable to the production of the goods sold by a company, including materials, labor, and overhead.

Accounting Period

The specific time period during which financial transactions are recorded and financial statements are prepared, typically a quarter or a year.

Cost of Goods Sold

The total cost directly attributed to the production of goods sold by a company, including materials and labor costs but excluding indirect expenses.

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