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LuckyWell [14K]
3 years ago
8

In spending all his income on beer and pizza, Fred finds that the marginal utility of the last pizza he consumed is 8, and the m

arginal utility of the last bottle of beer is 4. The price of a bottle of beer is $1.50. If Fred has maximized his utility, the price of pizza must be
Business
1 answer:
andrew-mc [135]3 years ago
3 0

Answer:

For a utility maximization, the pizza's price has to be $3.

Explanation:

The condiction to said that the utility has been maximized, is that the marginal utility for every dollar is the same for every factor (in this case, pizza and beer).

We can express that as

\frac{dU/dpizza}{P_{pizza}}= \frac{dU/dbeer}{P_{beer}}

Being dU/dpizza the marginal utility of pizza and dU/dbeer

If we want to know the price of pizza, we have to rearrange the equation

\frac{dU/dpizza}{P_{pizza}}= \frac{dU/dbeer}{P_{beer}}\\\\P_{pizza}=P_{beer}*\frac{dU/dpizza}{dU/dbeer}}\\P_{pizza}=1.5*(8/4)=1.5*2=3

In this case, for a utility maximization, the pizza's price has to be $3.

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Explanation:

An expansionary gap is when the actual output is more than the potential output. From the question, we are told that an economy is operating with output $400 billion above its natural level, and fiscal policymakers want to close this expansionary gap and that the central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out.

We are also given the marginal propensity to consume is 4/5, and told that the price level is completely fixed in the short run.

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Anya, sales manager for Pacific Lumber, tells Ricardo, the firm's inventory manager, that the firm's failure to have adequate su
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