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

question 8

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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}
It would cost Firm X ______ to reduce emissions by one ton if it currently emits 3 tons, and ______ to reduce emissions by one ton if it currently emits 2 tons.


Definitions:

Suboptimal Decision

A decision that does not achieve the best possible outcome or maximizes the potential value.

Divisional Autonomy

The extent to which individual divisions or units within a larger organization are given the freedom to operate independently and make their own strategic decisions.

Selling Expenses

Costs incurred directly in the selling of goods or services, including advertising, sales staff salaries, and commission.

Shared Service Unit

An organizational unit that consolidates and provides specific services, such as HR or IT, to multiple departments within a company to improve efficiency and reduce costs.

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