BHP Billiton is the world's largest mining firm. BHP expects to produce $1\mathrm{.}75$ billion pounds of copper next year, with a production cost of $$0\mathrm{.}95$ per pound.

a$.$ What will be BHP$\text{'}$s operating profit from copper next year if the price of copper is $$1\mathrm{.}05,$$$1\mathrm{.}40,$ or $$1\mathrm{.}75$ per pound, and the firm plans to sell all of its copper next year at the going price?

b$.$ What will be BHP$\text{'}$s operating profit from copper next year if the firm enters into a contract to supply copper to end users at an average price of $$1\mathrm{.}35$ per pound?

c$.$ What will be BHP$\text{'}$s operating profit from copper next year if copper prices are described as in part $($a$),$ and the firm enters into supply contracts as in part $($b$)$ for only $50\%$ of its total output?

d$.$ For each of the situations below, indicate which of the strategies $($a$),($b$),$ or $($c$)$ might be optimal.

a$.$ What will be BHP$\text{'}$s operating profit from copper next year if the price of copper is $$1\mathrm{.}05,$$$1\mathrm{.}40,$ or $$1\mathrm{.}75$ per pound, and the firm plans to sell all of its copper next at

The operating profit when the price per pound is $$1\mathrm{.}05$ will be $$,$ billion. $($Round to two decimal places.$)$