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

Multiple Choice

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. $\begin{array}{|c|c|c|c|c|c|}\hline \text { Process } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\\text { (smoke/day) } & \text { (4 tons/day) } & \text { (3 tons/day) } & \text { (2 tons/day) } & (1 \text { ton/day) } & \text { (0 tons/day) } \\\hline \text { Cost to Firm } X(\$ / \text { day) } & \$ 500 & \$ 514 & \$ 530 & \$ 555 & \$ 585 \\\hline \text { Cost to Firm Y (\$/day) } & \$ 400 & \$ 420 & \$ 445 & \$ 480 & \$ 520 \\\hline \text { Cost to Firm Z(\$/day) } & \$ 300 & \$ 325 & \$ 360 & \$ 400 & \$ 550 \\\hline\end{array}$
The least costly way of lowering smoke emissions from 12 tons to 9 tons per day would be for:

A) each firm to reduce emissions by 1 ton, emitting 3 tons each.
B) Firm X to emit 2 tons, Firm Y to emit 3 tons and Firm Z to emit 4 tons.
C) Firm X to emit 4 tons, Firm Y to emit 3 tons and Firm Z to emit 2 tons.
D) Firm X to emit 1 ton, Firm Y to emit 4 tons and Firm Z to emit 4 tons.