For Each Carload of Ore Removed from the Matchless Mine

question 27

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.

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Definitions:

Osmotic Balance

The regulation of water and solute concentrations across membranes to stabilize internal conditions of an organism or cell.

Inflammation

The reaction of the body to harm or disease, marked by inflammation, heat, enlargement, and discomfort.

Coagulation

The process by which blood changes from a liquid to a gel, forming a clot, which is crucial for stopping bleeding.

Vasodilation

The widening of blood vessels, which decreases blood pressure, usually as a result of relaxation of the vascular smooth muscle cells.