A Project Has the Activity Duration and Cost Information Indicated

question 58

Essay

A project has the activity duration and cost information indicated in the table where all times are in weeks.What is the lowest total cost for completing this project in 33 weeks? $$\begin{array} { | l | l | l | l | l | l | } \hline \text { Activity } & \begin{array} { l } \text { Normal } \\\text { time }\end{array} & \begin{array} { l } \text { Crash } \\\text { time }\end{array} & \begin{array} { l } \text { Normal } \\\text { Cost }\end{array} & \begin{array} { l } \text { Crash } \\\text { Cost }\end{array} & \text { Predecessor } \\\hline \mathrm { A } & 8 & 5 & \$ 1,000 & 2,000 & \\\hline \mathrm { B } & 6 & 4 & 1,500 & 2,000 & \text { A } \\\hline \mathrm { C } & 8 & 5 & 1,800 & 2,300 & \mathrm {~A} \\\hline \mathrm { D } & 12 & 9 & 1,000 & 1,800 & \mathrm {~B} \\\hline \mathrm { E } & 14 & 11 & 950 & 1,450 & \mathrm {~B} \\\hline \mathrm { F } & 9 & 7 & 1,500 & 1,900 & \text { C, D } \\\hline \mathrm { G } & 7 & 5 & 2,300 & 2,800 & \text { E, F } \\\hline\end{array}$$

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Definitions:

Peak Period

The time period during which the demand for a service or product is at its highest, often leading to congestion or increased prices.

Optimal Pricing Strategy

A pricing approach aimed at maximizing a company's profits or market share while considering consumer demand and competition.

Marginal Revenue Curve

A graphical representation that shows how the marginal revenue varies as the quantity of output is changed, typically downward sloping for firms facing downward sloping demand curves.

Price Discrimination

A pricing strategy where a seller charges different prices for the same product or service to different customers, not based on costs but on what the seller believes each customer can afford or is willing to pay.