Question

Robinson spends all his income on mangos and bananas. Mangos cost $3 per pound. Robinson's marginal utility is 30 for the last pound of mangos purchased and 10 for the last pound of bananas. If Robinson maximizes his utility from consuming these goods, the price of bananas is

Answer 1

$1 per pound

Step-by-step explanation:

Marginal utility is defined as the additional satisfaction that a person gains from consumption of an additional unit of a product.

Since Robinson spends all of his money on mangoes and bananas his the marginal utility per price of each product will be equal.

This is called equi marginal utility (Gossens second law).

Marginal utility of mango ÷ price of mango = marginal utility of banana ÷ price of banana

30 ÷ 3 = 10 ÷ price of mango

10 = 10 ÷ price of mango

Cross multiply

Price of mango * 10 = 10

Price of mango = 10 ÷ 10 = $1 per pound