For Each Carload of Ore Removed from the Matchless Mine

question 35

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) = 700 + 2Q + 0.09Q².The demand for silver (per ounce) is P_s = 40 - 0.30Q_s and the demand for lead (per pound) is P_l = 5 - 0.02Q_l.What should the owners of the Matchless Mine do to maximize profits (in the long run) ?

• A)Mine and process 52.44 carloads of ore, sell 52.44 ounces of silver, and sell 52.44 pounds of lead.
• B)Mine and process 66.67 carloads of ore, sell 66.67 ounces of silver, and sell 13.64 pounds of lead.
• C)Mine and process 125 carloads of ore, sell 66.67 ounces of silver, and sell 125 pounds of lead.
• D)Mine and process 125 carloads of ore, sell 48.72 ounces of silver, and sell 125 pounds of lead.
• E)Shut down the mine.