Question 3 (10 points): You decided to produce and sell homemade gelato. Your fixed costs are...

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Question 3 (10 points): You decided to produce and sell homemade gelato. Your fixed costs are $1000. In addition, it costs you $10 extra to produce each 1kg of gelato, so, your total cost function is C(Qp)=1000+10Qp, where Qp is the amount of gelato (in kg) you produce. Assume (2000 - 50P, 0 P 40 you face a demand function QD (P) = {0, where P is the price of " P> 40 gelato (in kg) and QD (P) is the amount you are able to sell as a function of price. a) (2 points) Find domain and range of QD (P) b) (2 points) Find the maximum possible domain for which the function QD (P) has an inverse function and find the inverse function P(QD) c) (2 points) Write down the total profit as a function of quantity Q you decide to produce. Limit your analysis to 0 Question 3 (10 points): You decided to produce and sell homemade gelato. Your fixed costs are $1000. In addition, it costs you $10 extra to produce each 1kg of gelato, so, your total cost function is C(Qp)=1000+10Qp, where Qp is the amount of gelato (in kg) you produce. Assume (2000 - 50P, 0 P 40 you face a demand function QD (P) = {0, where P is the price of " P> 40 gelato (in kg) and QD (P) is the amount you are able to sell as a function of price. a) (2 points) Find domain and range of QD (P) b) (2 points) Find the maximum possible domain for which the function QD (P) has an inverse function and find the inverse function P(QD) c) (2 points) Write down the total profit as a function of quantity Q you decide to produce. Limit your analysis to 0

Answer rating: 100% (QA)

Ill provide a comprehensive response to the gelato business scenario incorporating insights from the feedback and addressing identified issues a Domain and Range of QDP Domain The demand function QDP ... View the full answer