As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 80 percent chance of low demand and a 20 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P = 300,000 −300Q and P = 800,000 −200Q, respectively. Your cost function is C(Q) = 180,000 + 260,000Q. How many new homes should you build, and what profits can you expect? Give typing answer with explanation and conclusion

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 80 percent chance of low demand and a 20 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P = 300,000 −300Q and P = 800,000 −200Q, respectively. Your cost function is C(Q) = 180,000 + 260,000Q.

How many new homes should you build, and what profits can you expect?

Give typing answer with explanation and conclusion 

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