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 60 percent chance of low demand and a 40 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P = 400,000-400Q and P=900,000-2500, respectively. Your cost function is C(Q) = 125,000+ 430,0000. How many new homes should you build, and what profits can you expect? Number of homes you should build: homes

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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**Title: Decision-Making in Residential Construction**

**Introduction:**
As the manager of Smith Construction, you face a critical decision regarding the number of homes to build in a new residential area where you are the sole builder. A significant challenge is that you must determine the volume of homes to construct without prior knowledge of the market demand. In this scenario, there's a 60 percent chance of encountering low demand and a 40 percent chance of high demand in this large neighborhood.

**Market Demand Scenarios:**
The (inverse) demand functions corresponding to these two scenarios are as follows:

1. **Low Demand Scenario:**
\[ P = 400,000 - 4000Q \]

2. **High Demand Scenario:**
\[ P = 900,000 - 2500Q \]

**Cost Function:**
Your cost function for the number of homes built is given by:
\[ C(Q) = 125,000 + 430,000Q \]

**Decision Point:**
How many new homes should you build, and what profits can you expect?

**Evaluation of Homes to Build:**

**Number of homes you should build:** ______ homes

Click here to understand how to calculate the optimal number of homes and expected profits based on the given demand and cost functions. Detailed explanations and step-by-step calculations are provided to guide you through the decision-making process. 

**Conclusion:**
Making informed decisions in uncertain market conditions requires understanding demand scenarios and cost implications. As illustrated, a careful analysis can help in determining the optimal number of homes to build to maximize expected profits.

For more detailed information, visit our comprehensive guides on economic decision-making in construction management.
Transcribed Image Text:**Title: Decision-Making in Residential Construction** **Introduction:** As the manager of Smith Construction, you face a critical decision regarding the number of homes to build in a new residential area where you are the sole builder. A significant challenge is that you must determine the volume of homes to construct without prior knowledge of the market demand. In this scenario, there's a 60 percent chance of encountering low demand and a 40 percent chance of high demand in this large neighborhood. **Market Demand Scenarios:** The (inverse) demand functions corresponding to these two scenarios are as follows: 1. **Low Demand Scenario:** \[ P = 400,000 - 4000Q \] 2. **High Demand Scenario:** \[ P = 900,000 - 2500Q \] **Cost Function:** Your cost function for the number of homes built is given by: \[ C(Q) = 125,000 + 430,000Q \] **Decision Point:** How many new homes should you build, and what profits can you expect? **Evaluation of Homes to Build:** **Number of homes you should build:** ______ homes Click here to understand how to calculate the optimal number of homes and expected profits based on the given demand and cost functions. Detailed explanations and step-by-step calculations are provided to guide you through the decision-making process. **Conclusion:** Making informed decisions in uncertain market conditions requires understanding demand scenarios and cost implications. As illustrated, a careful analysis can help in determining the optimal number of homes to build to maximize expected profits. For more detailed information, visit our comprehensive guides on economic decision-making in construction management.
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