A consumer consumes two agricultural products: Red Meat, and Tomatoes according to the following utility function: U = RT That is, the total utility is the multiplication of the quantity consumed of the two products. Given that consumer's income is 210, price of R is 10, and the price of Tis 2, a)Write down the budget constraint (budget line equation) for this consumer. b)Determine the quantities that the consumer should consume of each of the two products c)Calculate the value of the lagrangian multiplier and derive the demand function for Red Meat and for tomatoes

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Consumer Choice Theory
Section: Chapter Questions
Problem 19SQ
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A consumer consumes two agricultural products: Red Meat, and Tomatoes according to the following utility function:

U = RT

That is, the total utility is the multiplication of the quantity consumed of the two products. Given that consumer's income is 210, price of R is 10, and the price of Tis 2,

a)Write down the budget constraint (budget line equation) for this consumer.

b)Determine the quantities that the consumer should consume of each of the two products

c)Calculate the value of the lagrangian multiplier and derive the demand function for Red Meat and for tomatoes.

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