2. Consider a firm producing a single commodity. The total cost c(q) of producing the commodity, in 5q² units of € 1000, can be described by the equation c = +5. Here, q denotes the amount produced, 9+3 in units of 1000 pieces. a. Calculate the marginal cost at q = 3. b. Describe the economic meaning of this result. Be precise! c. Calculate on the interval [3,4]. d. Describe the economic meaning of this result. e. Calculate for which values of q the marginal cost does not exceed € 2500. Round the result to three decimals.

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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2. Consider a firm producing a single commodity. The total cost c(q) of producing the commodity, in
5q²
units of € 1000, can be described by the equation c = +5. Here, q denotes the amount produced,
9+3
in units of 1000 pieces.
a. Calculate the marginal cost at q = 3.
b. Describe the economic meaning of this result. Be precise!
c. Calculate on the interval [3, 4].
d. Describe the economic meaning of this result.
e. Calculate for which values of q the marginal cost does not exceed € 2500. Round the result to
three decimals.
Transcribed Image Text:2. Consider a firm producing a single commodity. The total cost c(q) of producing the commodity, in 5q² units of € 1000, can be described by the equation c = +5. Here, q denotes the amount produced, 9+3 in units of 1000 pieces. a. Calculate the marginal cost at q = 3. b. Describe the economic meaning of this result. Be precise! c. Calculate on the interval [3, 4]. d. Describe the economic meaning of this result. e. Calculate for which values of q the marginal cost does not exceed € 2500. Round the result to three decimals.
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