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Suppose There Are Three Power-Generating Plants, Each of Which Has

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Suppose there are three power-generating plants, each of which has access to 5 different production processes. The table below summarizes the cost of each production process and the corresponding number of tons of smoke emitted each.  Process  A  B  C  D  E  (smoke/day)   (4 tons/day)   (3 tons/day)   (2 tons/day)  (1 ton/day)   (0 tons/day)   Cost to Firm X($/ day)  $500$514$530$555$585 Cost to Firm Y ($/day)  $400$420$445$480$520 Cost to Firm Z($/day)  $300$325$360$400$550\begin{array}{|c|c|c|c|c|c|}\hline \text { Process } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\\text { (smoke/day) } & \text { (4 tons/day) } & \text { (3 tons/day) } & \text { (2 tons/day) } & (1 \text { ton/day) } & \text { (0 tons/day) } \\\hline \text { Cost to Firm } X(\$ / \text { day) } & \$ 500 & \$ 514 & \$ 530 & \$ 555 & \$ 585 \\\hline \text { Cost to Firm Y (\$/day) } & \$ 400 & \$ 420 & \$ 445 & \$ 480 & \$ 520 \\\hline \text { Cost to Firm Z(\$/day) } & \$ 300 & \$ 325 & \$ 360 & \$ 400 & \$ 550 \\\hline\end{array}
Suppose the government requires each firm to reduce pollution to 2 tons of smoke per day, so that total daily smoke emission is 6 tons. The total cost to society of this policy will be ______ per day.


Definitions:

Direct Labor Time Variance

The difference between the actual hours worked by employees at the actual labor rate and the standard hours worked at the standard labor rate, used to measure efficiency and productivity in production.

Standard Costs

Predetermined or estimated costs for materials, labor, and overhead used for cost control and budgeting purposes.

Actual Costs

The real financial expenditures that a company incurs, as opposed to estimated or budgeted costs, including expenses for materials, labor, and overhead.

Standard Rate

A predetermined cost or charge established for a particular good or service.

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