Given the inverse DD and SS function as pd=90-Q and ps=[2Q+2]² find the CS for Qd =30 and pe= 40 and ps= for Qs=5 and 42, respectively Answer = CS is 1050 and PS is - 76.7​

Answers

Answer 1

CS is 1050, representing the area between the demand curve and the price line. PS is -508322, indicating the producer's inability to cover costs.

In this question, we are given the inverse DD and SS functions, and we need to find the consumer surplus (CS) and producer surplus (PS) for certain given values. The inverse DD function is given as pd = 90-Q, which represents the demand curve, and the inverse SS function is given as ps = (2Q+2)², which represents the supply curve. We need to find the CS for Qd = 30 and pe = 40, and the PS for Qs = 5 and 42, respectively. To find the CS, we need to calculate the area between the demand curve and the price line, i.e., the difference between the willingness to pay (WTP) and the actual price paid. Here, the WTP is given by the demand function, which is pd = 90-Q. At Qd = 30, the WTP is pd = 90-30 = 60. The actual price paid is pe = 40. Therefore, the CS = WTP - price paid = 60 - 40 = 20. However, this is the value of the individual CS. To find the total CS, we need to integrate the CS over the entire demand curve, which gives us CS = ∫(90-Q-40)dQ = ∫50-QdQ = 50Q - (Q²/2) |[tex]_0^{30}[/tex] = 1050.To find the PS, we need to calculate the area between the supply curve and the price line, i.e., the difference between the actual price received and the minimum supply price (MSP). The MSP is given by the supply function, which is ps = (2Q+2)². For Qs = 5, the MSP is ps = (2(5)+2)² = 98. For Qs = 42, the MSP is ps = (2(42)+2)² = 7396. The actual price received is given as 40, which is less than the MSP for both values of Qs. Therefore, the PS is negative, which indicates that the producer is not able to cover their costs. The PS is calculated as the area between the supply curve and the actual price received. Here, we have two values of Qs, so we need to calculate the PS for both and add them up. For Qs = 5, the PS = (40-98)(5) = -290. For Qs = 42, the PS = (40-7396)(42-5) = -508032. Therefore, the total PS = -290 - 508032 = -508322. Thus, the CS is 1050 and the PS is - 508322.In summary, we were given the inverse DD and SS functions and we needed to find the CS and PS for certain values. To find the CS, we calculated the area between the demand curve and the price line, which is the difference between the WTP and the actual price paid. To find the PS, we calculated the area between the supply curve and the price line, which is the difference between the actual price received and the MSP. The total CS was found by integrating the individual CS over the entire demand curve. The total PS was found by adding the PS for both values of Qs. The CS was found to be 1050 and the PS was found to be -508322.

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Related Questions

In Infosys BPM ltd, during the client audit,the external auditor seeks for your credentials.what would be your response

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I would respond to the external auditor's request for credentials by providing my employee ID card, relevant certifications, and references to establish my qualifications and expertise.

During a client audit at Infosys BPM Ltd, if the external auditor seeks my credentials, I would respond in a professional and transparent manner. I would provide them with the necessary information to establish my credentials and assure them of my qualifications and expertise.

I would begin by presenting my identification, such as my employee ID card, which clearly displays my name and position within the company. I would also provide any relevant certifications or degrees that validate my qualifications in the specific area being audited. Additionally, I would offer references or contact information of supervisors or colleagues who can vouch for my work and knowledge.

It is crucial to maintain open communication and build trust with the external auditor. I would address any concerns they may have and be prepared to answer any questions regarding my role, responsibilities, and experience in the relevant field.

Ultimately, my aim would be to demonstrate that I possess the necessary credentials and expertise to fulfill my responsibilities effectively and contribute to a successful audit process.

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ChatGPT has appeared and caused some changes in the way management works. What do you think about ChatGPT? Will it help or hinder organizational performance? List out some possible advantages and disadvantages you might think of. Don’t forget to provide examples to clarify your points.

Answers

Explanation:

Advantages of ChatGPT for Organizational Performance:

1. Enhanced Efficiency: ChatGPT can help streamline communication and decision-making processes within organizations. It can quickly generate responses, answer questions, and provide information, saving time for employees.

Example: Instead of waiting for a human response, employees can instantly get assistance from ChatGPT regarding common queries, freeing up their time to focus on more critical tasks.

2. 24/7 Availability: ChatGPT can be accessed at any time, enabling round-the-clock support for employees or customers. It eliminates the need to wait for human assistance during off-hours or in different time zones.

Example: A multinational company with teams in different countries can benefit from ChatGPT's constant availability for resolving urgent queries or providing guidance.

3. Knowledge Repository: ChatGPT can serve as a central repository of organizational knowledge and information. It can store and retrieve vast amounts of data, ensuring easy access to information across the organization.

Example: Employees can quickly search and retrieve relevant documents, procedures, or guidelines from the ChatGPT system, reducing time wasted searching for information.

Disadvantages of ChatGPT for Organizational Performance:

1. Lack of Contextual Understanding: ChatGPT may sometimes struggle to understand the context of a conversation or interpret ambiguous queries accurately. It can lead to incorrect or misleading responses, potentially impacting decision-making or actions.

Example: If a user asks a question with ambiguous terms, ChatGPT may provide an inaccurate answer due to the lack of contextual understanding, leading to potential confusion or mistakes.

2. Bias and Inaccurate Information: ChatGPT learns from the data it is trained on, which can include biased or inaccurate information. If not properly curated or moderated, it may inadvertently perpetuate biases or provide incorrect information.

Example: If ChatGPT is not regularly updated with accurate information or if it is biased towards certain viewpoints, it may generate misleading or inaccurate responses, which could adversely affect decision-making.

3. Reduced Human Interaction: Over-reliance on ChatGPT may decrease human interaction within organizations, leading to decreased collaboration, creativity, and relationship-building among employees.

Example: If employees primarily rely on ChatGPT for communication, they may miss out on the benefits of direct human interaction, such as building rapport, exchanging ideas, or understanding non-verbal cues.

In conclusion, ChatGPT has the potential to provide several advantages, including increased efficiency, availability, and easy access to knowledge. However, it also presents challenges related to contextual understanding, bias, and reduced human interaction. To leverage the benefits of ChatGPT while mitigating the disadvantages, organizations should implement proper training, oversight, and validation processes to ensure accurate and unbiased responses while encouraging a balanced approach to human-AI interaction.

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25. Suppose a perfectly competitive industry is in long-run equilibrium. A new one-time cost-saving
technology (which is freely available) is then developed and new plants are built. Eventually, a
new long-run equilibrium will be established where (1 Point)
new plants employ the new technology, but existing plants continue to produce as long as they cover their
fixed costs.
high-cost and low-cost firms exist side by side and market output will be higher.
the industry supply curve has shifted to the left and price and output are both higher.
all plants continue to operate until they are physically worn out as long as price is greater than the firm's
average variable cost.
all plants use the new technology, and market output will be higher and price will be lower

Answers

A new long-run equilibrium will be established where Option E. all plants use the new technology, and market output will be higher and the price will be lower.

In a perfectly competitive industry in long-run equilibrium, the market is characterized by firms producing at their minimum average total cost and earning normal profits. However, when a new one-time cost-saving technology is developed and new plants are built, it will lead to changes in the industry.

Eventually, a new long-run equilibrium will be established. Let's analyze the options provided to determine which one best describes this new equilibrium:

A. This option suggests that new plants employ the new technology, but existing plants continue to produce as long as they cover their fixed costs. However, in the long run, firms will adjust their operations to take advantage of the cost-saving technology, which will lead to a more efficient allocation of resources. Therefore, this option is not likely to describe the new equilibrium.

B. This option suggests that high-cost and low-cost firms exist side by side, and market output will be higher. While it is true that the new technology may lead to lower costs, high-cost firms may still be present in the market. However, the market output is likely to increase due to the efficiency gains from the new technology, which can lead to a lower price for consumers.

C. This option suggests that the industry supply curve has shifted to the left, and both price and output are higher. However, with the introduction of cost-saving technology, the industry's supply curve is more likely to shift to the right, leading to an increase in output and a potential decrease in price.

D. This option suggests that all plants continue to operate until they are physically worn out as long as the price is greater than the firm's average variable cost. However, in the long run, firms will adjust their operations to utilize the new technology, which may lead to the closure of some older, less efficient plants.

E. This option suggests that all plants use the new technology, resulting in higher market output and a lower price. This is the most likely outcome when a new cost-saving technology is introduced. Firms will adopt the latest technology to reduce costs, leading to an increase in market output and potentially a decrease in price.

Therefore, option E, "all plants use the new technology, and market output will be higher, and the price will be lower," best describes the new long-run equilibrium after introducing the cost-saving technology. Therefore, the correct option is E.

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The question was incomplete, Find the full content below:

25. Suppose a perfectly competitive industry is in long-run equilibrium. A new one-time cost-saving technology (which is freely available) is then developed and new plants are built. Eventually, a new long-run equilibrium will be established where (1 Point)

A. new plants employ the new technology, but existing plants continue to produce as long as they cover their fixed costs.

B. high-cost and low-cost firms exist side by side and market output will be higher.

C. the industry supply curve has shifted to the left and price and output are both higher.

D. all plants continue to operate until they are physically worn out as long as the price is greater than the firm's average variable cost.

E. all plants use the new technology, and market output will be higher and the price will be lower

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