A chemical X is produced from a reaction involving chemicals A and B. The rate o

Question

A chemical X is produced from a reaction involving chemicals A and B. The rate of productions of X varies directly as the product of the instantaneous amounts of A                 and B present. The formation of X requires 3 lbs of A for every 4 lbs of B. 60 lbs of A and 80 lbs of B are present initially and 5 lbs of X are formed in one                 hour.

A. Find a formula for the amount of X present at any time t.

B. Find the amount of X present after 3 hours.

C. Find the maximum amount of X that can be                 formed under these conditions.             

Explanation / Answer

A. x=5t

B. After 3 hours, x=15lbs

C. maximum X=20lbs

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