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Use This Information to Answer the Following Questions -Refer to the Information Above

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Essay

Use this information to answer the following questions.
Consider the following set of activities that need to be completed by a chef to cook dinner for a party of 30 guests.
 Immediate  Activity  Predecessors  A  B  A  C  A  D  B, C  E  C  F  D, E \begin{array} { c l l } & \text { Immediate } \\\text { Activity } & \text { Predecessors } \\\hline \text { A } & - \\\text { B } & \text { A } \\\text { C } & \text { A } \\\text { D } & \text { B, C } \\\text { E } & \text { C } \\\text { F } & \text { D, E }\end{array}
-Refer to the information above.Assume that the chef was able to estimate the number of hours needed to complete each activity as follows.
 Activity  Optimistic time  Most Likely Time  Pessimistic Time  A 123 B 122 C 234 D 356 E 456 F 367\begin{array} { c c c c } \text { Activity } & \text { Optimistic time } & \text { Most Likely Time } & \text { Pessimistic Time } \\ \text { A } & 1 & 2 & 3 \\\text { B } & 1 & 2 & 2 \\\text { C } & 2 & 3 & 4 \\\text { D } & 3 & 5 & 6 \\\text { E } & 4 & 5 & 6 \\\text { F } & 3 & 6 & 7\end{array}
Determine the probability that the project will be completed in
a.Less than 14 hours.
b.Greater than 14 hours.
c.Less than 17 hours.
d.Greater than 17 hours.


Definitions:

Purchase Discounts

Discounts a buyer receives for paying suppliers early, which are used to reduce the cost of purchased goods.

Net Purchases

Net purchases are the total amount of purchases minus returns, allowances, and discounts over a specified period, often used in analyzing inventory costs.

Sales Discounts

Reductions in the price of goods or services offered as an incentive to customers to encourage prompt payment.

Net Sales

The amount of sales revenue remaining after deducting sales returns, allowances, and discounts.

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