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Lagrangian method derive joel demand function

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Joel gets utility from board games (B) and earbuds (E). His utility function is U(B,E) = BE + B. The price of board games (B) is PB, and the price of earbuds (PE) is equal to $40. Joel's income is $200.

(a) Using the Lagrangian method derive Joel's demand function for board games (B) as a function of PB.

(b) Suppose that Joel's income doubles to $400. Derive Joel's new demand function for board games (B) as a function of PB.

(c) Are board games a normal or inferior good? You must justify your answer to receive credit.

Reference no: EM131246299

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