$29.$ ?Dianna Ivy is evaluating a plan to expand the product ion facilities of International Compressors Company which manufactures natural gas compressors. Dianna feels that the price of coal is a significant factor in her decision. Below are her estimates of payoffs from various expansion plans under different prices of coal. If Diana knows the price of coal in the future will be the same as it is today, what expansion plan should she select?

PAYOFFS $($ $mil $)$

Lower

Same

Higher

Large expansion

$-$ $ $500$

$-$ $ $100$

$ $1,000$

Medium expansion

$-$ $ $300$

$ $150$

$ $800$

Small expansion

$-$ $ $50$

$ $100$

$ $400$

No expansion

$ $0$

$ $75$

$ $300$

a $)$ ?No expansion

b $)$ ?Small expansion

c $)$ ?Medium expansion

d $)$ ?Cannot determine from information

e $)$ ?Large expansion