Using Laptops as a product suitable for economic analysis, analyzing consumer preferences, and determine how consumers make choices based on their utility maximization and budget constraints.

a) Using the product above;laptops, Use indifference curves and budget constraints to illustrate how a rational consumer makes choices.

b)Select a Cobb-Douglas utility function that accurately represents the consumer's preferences for laptops. Explain why you chose this utility function and its significance in this context.

c)Define the budget constraint for the consumer in this scenario. Discuss the key components of the budget constraint and how it limits consumer choices

d)Utilize the Lagrange method to derive the demand function for laptops. Explain the steps involved in applying the Lagrange method and how it leads to the demand function.