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Two Firms, Acme and FirmCo, Have Access to Five Production

question 97

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Two firms, Acme and FirmCo, have access to five production processes, each of which has a different cost and gives off a different amount of pollution. The daily costs of the processes and the corresponding number of tons of smoke emitted are shown in the table below.  Process  A  B  D  D  (smoke/day)   (10 tons/day)   (8 tons/day)   (6 tons/day)   (4 tons/day)   (2 tons/day)   Cost to Acme ($/day)  $750$800$1,000$1,400$2,000 Cost to FirmCo ($/day)  $500$750$1,200$2,200$4,000\begin{array}{|c|c|c|c|c|c|}\hline \text { Process } & \text { A } & \text { B } & \text { D } & \text { D } \\\hline \text { (smoke/day) } & \text { (10 tons/day) } & \text { (8 tons/day) } & \text { (6 tons/day) } & \text { (4 tons/day) } & \text { (2 tons/day) } \\\hline \text { Cost to Acme (\$/day) } & \$ 750 & \$ 800 & \$ 1,000 & \$ 1,400 & \$ 2,000 \\\hline \text { Cost to FirmCo (\$/day) } & \$ 500 & \$ 750 & \$ 1,200 & \$ 2,200 & \$ 4,000 \\\hline\end{array}
Suppose the firms are both currently using process A. If the government imposes a tax of $110 per ton of smoke emitted, then Acme will use process ______, and FirmCo will use process ______.


Definitions:

Activity Variance

The difference between budgeted and actual cost or time spent on a particular activity, highlighting variances in performance.

Beta Distribution

A family of continuous probability distributions defined on the interval [0, 1] used to model a variety of variables that are bounded on both sides.

Project Management

The application of knowledge, skills, tools, and techniques to project activities to meet the project requirements.

Expected Activity Times

The average durations that tasks or activities are anticipated to take, often used in project management and planning.

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