A company enters into a long futures gold contract to buy $100$ ounces of gold for $$1200$ per ounce. The initial margin is $$3000$ per contract and the maintenance margin is $$2000$ per contractQ$1.$ A company enters into a long futures gold contract to buy $100$ ounces of gold for $$1200$ per

ounce. The initial margin is $$3000$ per contract and the maintenance margin is $$2000$ per contract.

$(1)$ What price change would lead to a margin call?

$(2)$ What is the margin call price?

$(3)$ What circumstances could $$2000$ can be withdrawn from the margin account?