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Suppose a Consumer Has the Utility Structure of Weekly Tea

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Suppose a consumer has the utility structure of weekly tea and coffee consumption shown in the following table.

 Cup  Marginal Utility  of Tea  Marginal Utility  of Coffee 112242102239144710566652\begin{array}{|c|c|c|}\hline \text { Cup } & \begin{array}{c}\text { Marginal Utility } \\\text { of Tea }\end{array} & \begin{array}{c}\text { Marginal Utility } \\\text { of Coffee }\end{array} \\\hline 1 & 12 & 24 \\\hline 2 & 10 & 22 \\\hline 3 & 9 & 14 \\\hline 4 & 7 & 10 \\\hline 5 & 6 & 6 \\\hline 6 & 5 & 2 \\\hline\end{array}
If the price of a cup of tea is $1 and the price of a cup of coffee is $2, how many of each would the consumer purchase if the consumer had $10 to spend? What is the total utility level at the optimal consumption mix?

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The marginal utilities per dollar are sh...

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