Ouroboros' total cost (TC) as a function of its production level q is given by the equation below: TC(q) = 2q² - 12,000q + 30,000,000 a. How much is the fixed cost of production for Ouroboros? b. If q=5,000, how much is the total cost for Ouroboros? c. Evaluate the marginal cost for Ouroboros when q=3,000. d. For this part, suppose that Ouroboros has two corporate customers. The first corporations' demand as a function of Ouroboros' price is given by D₁ (p) = 10,000 - p and the second corporation's demand function is given by DB (p) = 20,000 - p. Calculate Ouroboros' maximum possible profit level.
Ouroboros' total cost (TC) as a function of its production level q is given by the equation below: TC(q) = 2q² - 12,000q + 30,000,000 a. How much is the fixed cost of production for Ouroboros? b. If q=5,000, how much is the total cost for Ouroboros? c. Evaluate the marginal cost for Ouroboros when q=3,000. d. For this part, suppose that Ouroboros has two corporate customers. The first corporations' demand as a function of Ouroboros' price is given by D₁ (p) = 10,000 - p and the second corporation's demand function is given by DB (p) = 20,000 - p. Calculate Ouroboros' maximum possible profit level.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Ouroboros' total cost (TC) as a function of its production level q is given by the equation
below:
TC(q) = 2q² 12,000q +30,000,000
a. How much is the fixed cost of production for Ouroboros?
b. If q=5,000, how much is the total cost for Ouroboros?
c. Evaluate the marginal cost for Ouroboros when q=3,000.
d. For this part, suppose that Ouroboros has two corporate customers. The first
corporations' demand as a function of Ouroboros' price is given by DA (p) = 10,000-p
and the second corporation's demand function is given by DB (p) = 20,000 — p.
Calculate Ouroboros' maximum possible profit level.
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