Mama Mboga in Kiambu works a day and earns an income of 24 Kenya Shillings. At the end of the day she spends all her income to consume only Sukuma wiki (W) and Nyama (N). The satisfaction she gets from this behavior is given by S=3W2+3N3. The price of Sukuma Wiki is 2 shillings while the price of Nyama is 3 shillings. What is her additional satisfaction from consuming an extra piece of Nyama in a day?Question 18Select one:a.6W2b.8W2c.2W2d.4W2
Question
Mama Mboga in Kiambu works a day and earns an income of 24 Kenya Shillings. At the end of the day she spends all her income to consume only Sukuma wiki (W) and Nyama (N). The satisfaction she gets from this behavior is given by S=3W2+3N3. The price of Sukuma Wiki is 2 shillings while the price of Nyama is 3 shillings. What is her additional satisfaction from consuming an extra piece of Nyama in a day?Question 18Select one:a.6W2b.8W2c.2W2d.4W2
Solution
The question seems to be asking for the marginal utility of consuming an extra piece of Nyama, given the utility function S=3W^2+3N^3.
The marginal utility is the derivative of the utility function with respect to the good in question. In this case, we want to find the derivative of S with respect to N (dS/dN).
The derivative of 3N^3 with respect to N is 9N^2.
So, the additional satisfaction Mama Mboga gets from consuming an extra piece of Nyama in a day is 9N^2. However, this option is not listed in the choices provided. There might be a mistake in the question or the provided choices.
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