Suppose you are running a factory, producing anvils that requires steel as a raw material. Your costs are predominantly human labor (h), which is $20 per hour for your workers, and

the steel itself (s), which runs for $160 per ton. Suppose your revenue is loosely modeled 21

by the following equation: 100h3 s3 . If your budget is $10,000, how would you maximize revenue? Solve this problem using the Lagrangian method.