71) Suppose Factory A emits 15,000 units of “Yuck” monthly, Factory B emits 30,000 units, and
Factory C emits 45,000 units. Also suppose A’s cost of reducing the emission is $1 per unit, B’s
cost is $2 per unit, and C’s cost is $3 per unit. If the EPA prohibits any factory from emitting
more than 15,000 units of yuck per month, what would be the total cleanup cost?
A) $15,000
B) $40,000
C) $45,000
D) $90,000
E) $120,000
72) Suppose Factory A emits 15,000 units of “Yuck” monthly, Factory B emits 30,000 units, and
Factory C emits 45,000 units. Also suppose A’s cost of reducing the emission is $1 per unit, B’s
cost is $2 per unit, and C’s cost is $3 per unit. If the EPA orders each factory to reduce its
emissions by half, what would be the total cleanup cost?
A) $45,000
B) $67,500
C) $105,000
D) $122,500
E) $127,000
73) Suppose Factory A emits 15,000 units of “Yuck” monthly, Factory B emits 30,000 units, and
Factory C emits 45,000 units. Also suppose A’s cost of reducing the emission is $1 per unit, B’s
cost is $2 per unit, and C’s cost is $3 per unit. If the EPA orders each factory to reduce emissions
by 15,000 units, what would be the total cleanup cost?
A) $75,000
B) $90,000
C) $105,000
D) $127,000
74) Suppose Factory A emits 15,000 units of “Yuck” monthly, Factory B emits 30,000 units, and
Factory C emits 45,000 units. Also suppose A’s cost of reducing the emission is $1 per unit, B’s
cost is $2 per unit, and C’s cost is $3 per unit. If the EPA wishes to reduce total emissions down
to 45,000 units per month, which of the following is the lowest-cost method?
A) Leave Factory C alone, and force both A and B to each reduce their emissions to zero units
per month.
B) Leave Factory A and B alone, and force C to reduce emissions to zero units per month.
C) Leave Factory A alone, and force both B and C to each reduce their emissions to 15,000 units
per month.
D) All of the above would be accomplished at the same cost.