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The Heir to the Throne Was Due 56 Days from Now

question 30

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The heir to the throne was due 56 days from now and the first-time father had a serious construction project on his hands converting his man cave into a nursery.The seven activities,their normal and expedited times (in days)and costs appear in the table.What is the minimum cost to ensure that this project is completed in 56 days? Which activities should be reduced and by how many days?  Activity  Normal  time  Crash  time  Normal  Cost  Crash  Cost  Predecessor  A 535001100 B 18159002300 A  C 12925003000 A  D 97500650 B  E 151230005000 B  F 121040005000 C, D  G 201536004800 E, F \begin{array} { | l | l | l | l | l | l | } \hline \text { Activity } & \begin{array} { l } \text { Normal } \\\text { time }\end{array} & \begin{array} { l } \text { Crash } \\\text { time }\end{array} & \begin{array} { l } \text { Normal } \\\text { Cost }\end{array} & \begin{array} { l } \text { Crash } \\\text { Cost }\end{array} & \text { Predecessor } \\\hline \text { A } & 5 & 3 & 500 & 1100 & \\\hline \text { B } & 18 & 15 & 900 & 2300 & \text { A } \\\hline \text { C } & 12 & 9 & 2500 & 3000 & \text { A } \\\hline \text { D } & 9 & 7 & 500 & 650 & \text { B } \\\hline \text { E } & 15 & 12 & 3000 & 5000 & \text { B } \\\hline \text { F } & 12 & 10 & 4000 & 5000 & \text { C, D } \\\hline \text { G } & 20 & 15 & 3600 & 4800 & \text { E, F } \\\hline\end{array}


Definitions:

Beginning Inventory

The value of a company's inventory at the start of an accounting period, before any purchases or sales have occurred.

Projected Sales

An estimate of the amount of revenue that a company expects to earn in a future period from the sale of goods or services.

Finished Goods

These are products that have completed the manufacturing process but have not yet been sold or distributed to the end customer.

Cost of Goods Sold

Cost of Goods Sold (COGS) is the direct costs attributable to the production of the goods sold in a company, including material and labor expenses.

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