For Each Carload of Ore Removed from the Matchless Mine

Multiple Choice

For each carload of ore removed from the Matchless Mine, 1 pound of lead and 1 ounce of silver is smelted.The cost of mining and processing 1 carload of ore is C(Q) = 300 + 3Q + 0.02Q².The demand for silver (per ounce) is P_s = 30 - 0.10Q_s and the demand for lead (per pound) is P_l = 6 - 0.03Q_l.What should the owners of the Matchless Mine do to maximize profits (in the long run) ?

A) Mine and process 150 carloads of ore, sell 150 ounces of silver, and sell 30 pounds of lead.
B) Mine and process 150 carloads of ore, sell 150 ounces of silver, and sell 100 pounds of lead.
C) Mine and process 110 carloads of ore, sell 110 ounces of silver, and sell 110 pounds of lead.
D) Mine and process 112.50 carloads of ore, sell 112.50 ounces of silver, and sell 100 pounds of lead.
E) Shut down the mine.