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Art Work: A friend of mine is an artist. She mostly paints landscape pictures. They take a bit of time, but are generally worth it. = 10+ 0.5x + 0.01 x², where x She can paint as many as 100 per year. The total cost is C(x) is the number of paintings. I am told that the demand for her paintings is given by Q(P) = 100 – .01 P, where P is the price in dollars for painting. Q11 - DQ1: How many paintings would minimize the unit cost of production and what would the cost be? Q12 - DQ2: What price would maximize her revenue and what would that revenue be? Q13 - DQ3: What is the maximum profit she can make and how many paintings would she require?

Art Work: A friend of mine is an artist. She mostly paints landscape pictures. They take a bit of time, but are generally worth it. = 10+ 0.5x + 0.01 x², where x She can paint as many as 100 per year. The total cost is C(x) is the number of paintings. I am told that the demand for her paintings is given by Q(P) = 100 – .01 P, where P is the price in dollars for painting. Q11 - DQ1: How many paintings would minimize the unit cost of production and what would the cost be? Q12 - DQ2: What price would maximize her revenue and what would that revenue be? Q13 - DQ3: What is the maximum profit she can make and how many paintings would she require?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem 2 - Derivatives: Art Work: A friend of mine is an artist. She mostly paints landscape pictures. They take a bit of time, but are generally worth it. She can paint as many as 100 per year. The total cost is C(x) = 10 + 0.5x + 0.01 x2, where x is the number of paintings. I am told that the demand for her paintings is given by Q(P) = 100 – .01 P, where P is the price in dollars for painting. Q11 - DQ1: How many paintings would minimize the unit cost of production and what would the cost be? Q12 - DQ2: What price would maximize her revenue and what would that revenue be? Q13 - DQ3: What is the maximum profit she can make and how many paintings would she require?
Transcribed Image Text:Problem 2 - Derivatives: Art Work: A friend of mine is an artist. She mostly paints landscape pictures. They take a bit of time, but are generally worth it. She can paint as many as 100 per year. The total cost is C(x) = 10 + 0.5x + 0.01 x2, where x is the number of paintings. I am told that the demand for her paintings is given by Q(P) = 100 – .01 P, where P is the price in dollars for painting. Q11 - DQ1: How many paintings would minimize the unit cost of production and what would the cost be? Q12 - DQ2: What price would maximize her revenue and what would that revenue be? Q13 - DQ3: What is the maximum profit she can make and how many paintings would she require?
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