Assume that two companies (C and D) are duopolists that produce identical products. Demand for the products is given by the following linear demand function: P = 600 – Qc - Qp where Qc and Op are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies are TCc = 25,000 + 100Qc TCp = 20,000 + 125QD Assume that the firms act independently as in the Cournot model (i.e., each firm assumes that the other firm's output will not change). For Company C, the long-run equilibrium output is , and the selling price is For Company D, the long-run equilibrium output is , and the selling price is $ At the equilibrium output, Company C earns total profits of $ |, and Company D earns total profits of $
Assume that two companies (C and D) are duopolists that produce identical products. Demand for the products is given by the following linear demand function: P = 600 – Qc - Qp where Qc and Op are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies are TCc = 25,000 + 100Qc TCp = 20,000 + 125QD Assume that the firms act independently as in the Cournot model (i.e., each firm assumes that the other firm's output will not change). For Company C, the long-run equilibrium output is , and the selling price is For Company D, the long-run equilibrium output is , and the selling price is $ At the equilibrium output, Company C earns total profits of $ |, and Company D earns total profits of $
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Assume that two companies (C and D) are duopolists that produce identical products. Demand for the products is given by the following linear demand
function:
P = 600 – Qc - Qp
where Qc and Qp are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies are
TCc = 25,000 + 100Qc
TCp = 20,000 + 125QD
Assume that the firms act independently as in the Cournot model (i.e., each firm assumes that the other firm's output will not change).
For Company C, the long-run equilibrium output is
, and the selling price is $
For Company D, the long-run equilibrium output is
, and the selling price is $
At the equilibrium output, Company C earns total profits of $
, and Company D earns total profits of $](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6c5ff51-13cf-4175-ab2a-d4efcda13885%2Fd75603de-d2df-493c-b784-b587393cc13b%2Ftxl0k16_processed.png&w=3840&q=75)
Transcribed Image Text:Assume that two companies (C and D) are duopolists that produce identical products. Demand for the products is given by the following linear demand
function:
P = 600 – Qc - Qp
where Qc and Qp are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies are
TCc = 25,000 + 100Qc
TCp = 20,000 + 125QD
Assume that the firms act independently as in the Cournot model (i.e., each firm assumes that the other firm's output will not change).
For Company C, the long-run equilibrium output is
, and the selling price is $
For Company D, the long-run equilibrium output is
, and the selling price is $
At the equilibrium output, Company C earns total profits of $
, and Company D earns total profits of $
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