Assignment:
A Chemical X is produced from a reaction involving chemicals A and B. The rate of production of X varies directly as the product of the instantaneous amounts of A and B present. The formation of X requires 6 pounds of A for every 4 pounds of B. 30 pounds of A and 20 pounds of B are present initially and 10 pounds of X are formed in one hour.
a. Find the amount of X present at any time t.
b. Find the amount of X present after 6 hours.
c. Find the maximum amount of X that can be formed under these conditions.
Provide complete and step by step solution for the question and show calculations and use formulas.