Nana sells homemade yoghurt tubs at 75 pesos per tub. Suppose x bottles of sanitizer are produced each day and C(x) pesos is her daily cost, and C(x) = x² + 25x + 100. a. Nana's revenue function, R(x), is 75x since she obtains 75 pesos per tub, what would be her profit function if profit function P(x) = R(x) - C(x)? b. What would be her marginal cost if marginal cost MC(x) = C'(x)? c. What would be her marginal profit if marginal profit MP(x) = P'(x)? d. How many tubs should Nana sell in order to obtain a profit of 500 pesos.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
ChapterB: Differential Calculus Techniques In Management
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Nana sells homemade yoghurt tubs at 75 pesos per tub. Suppose x bottles of sanitizer
are produced each day and C(x) pesos is her daily cost, and C(x) = x² + 25x + 100.
a. Nana's revenue function, R(x), is 75x since she obtains 75 pesos per tub, what
would be her profit function if profit function P(x) = R(x) - C(x)?
b. What would be her marginal cost if marginal cost MC(x) = C'(x)?
!3!
c. What would be her marginal profit if marginal profit MP(x) = P'(x)?
d. How many tubs should Nana sell in order to obtain a profit of 500 pesos.
Transcribed Image Text:Nana sells homemade yoghurt tubs at 75 pesos per tub. Suppose x bottles of sanitizer are produced each day and C(x) pesos is her daily cost, and C(x) = x² + 25x + 100. a. Nana's revenue function, R(x), is 75x since she obtains 75 pesos per tub, what would be her profit function if profit function P(x) = R(x) - C(x)? b. What would be her marginal cost if marginal cost MC(x) = C'(x)? !3! c. What would be her marginal profit if marginal profit MP(x) = P'(x)? d. How many tubs should Nana sell in order to obtain a profit of 500 pesos.
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