An individual consumer consumes two commodities X1 & X2. The utility function is 

The price of commodity one is P1 = Rs.3.00, the price of commodity two is P2 = Rs.4.00, the individual’s income per period is Rs.108. Determine the utility maximizing level of X1 & X2 and derive the demand curves for the two commodities.

To determine the utility-maximizing levels of \(X_1\) and \(X_2\) for the consumer, we'll employ the concept of utility maximization subject to the consumer's budget constraint.

The consumer's utility function is given as:
\[U = X_1^{0.4}X_2^{0.6}\]

Subject to the budget constraint:
\[P_1X_1 + P_2X_2 = I\]
Where:
- \(P_1\) is the price of commodity 1 (\(Rs.3.00\))
- \(P_2\) is the price of commodity 2 (\(Rs.4.00\))
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