Nana sells homemade hand sanitizers at a price of 75 pesos per bottle. Suppose x bottles of sanitizer are produced each day and C(x) pesos is her daily cost, and C(x) = x2 + 25x + 100.  a. Find Nana’s marginal profit function. Note: Marginal profit is the increase in profit that results from the production and sale of one additional unit of output. b. Find the number of bottles of homemade hand sanitizer sold if Nana has a marginal profit of 20 pesos.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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Nana sells homemade hand sanitizers at a price of 75 pesos per bottle. Suppose x bottles of
sanitizer are produced each day and C(x) pesos is her daily cost, and C(x) = x2 + 25x + 100. 

a. Find Nana’s marginal profit function. Note: Marginal profit is the increase in profit that
results from the production and sale of one additional unit of output.

b. Find the number of bottles of homemade hand sanitizer sold if Nana has a marginal profit
of 20 pesos.

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