ed construction cost = $70 million variable cost function is: C(q) = c/2 q, where q is the production quantity and c = L000 property price after one year is uncertain. However, you expect that the price should be und $6.5 million with a standard deviation of $1,000. All units are of the same size. Meanwhile, you have a renovation project that needs capital immediately. You figure that 100% of the pre-sale revenue can be invested in that project. The cost of borrowing for you is 10% per year. You consider yourself risk-averse with the coefficient of risk aversion equal to 0.01. a) Determine the quantity of space you'd supply if you are allowed to pre-sell.

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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You are a developer who owns a land site to be developed in one year, and you have the
autonomy to decide on the quantity of supply of a residential space. The following
information is current for your decision:
Pre-sale price per unit = $6 million
• Fixed construction cost $70 million
The variable cost function is: C(q) = c/2 * q² , where q is the production quantity and c =
$20,000
The property price after one year is uncertain. However, you expect that the price should be
around $6.5 million with a standard deviation of $1,000. All units are of the same size.
Meanwhile, you have a renovation project that needs capital immediately. You figure that
100% of the pre-sale revenue can be invested in that project. The cost of borrowing for you
is 10% per year. You consider yourself risk-averse with the coefficient of risk aversion equal
to 0.01.
a) Determine the quantity of space you'd supply if you are allowed to pre-sell.
b) Determine the quantity of space you'd supply if you are NOT allowed to pre-sell.
c) Determine the quantity of space that you'd pre-sell today.
Transcribed Image Text:You are a developer who owns a land site to be developed in one year, and you have the autonomy to decide on the quantity of supply of a residential space. The following information is current for your decision: Pre-sale price per unit = $6 million • Fixed construction cost $70 million The variable cost function is: C(q) = c/2 * q² , where q is the production quantity and c = $20,000 The property price after one year is uncertain. However, you expect that the price should be around $6.5 million with a standard deviation of $1,000. All units are of the same size. Meanwhile, you have a renovation project that needs capital immediately. You figure that 100% of the pre-sale revenue can be invested in that project. The cost of borrowing for you is 10% per year. You consider yourself risk-averse with the coefficient of risk aversion equal to 0.01. a) Determine the quantity of space you'd supply if you are allowed to pre-sell. b) Determine the quantity of space you'd supply if you are NOT allowed to pre-sell. c) Determine the quantity of space that you'd pre-sell today.
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