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Please provide an answer and full steps for each part! Q3.a (6 points) Rodrigo makes vegan ice cream. His production function for the number of

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Q3.a (6 points) Rodrigo makes vegan ice cream. His production function for the number of ice creams he makes is f(x1 , x2) = 8(x] + x; ) where x, is the amount of almond milk, and x2 is the number of dry fruits. His standard rate for a large scoop of vegan ice cream is $6. Almond milk costs $1, and dry fruits cost $3 per scoop. There is an additional fixed cost of $2 for rent that he has to pay regardless of whether any ice cream is produced or not. (a) Given the prices of inputs, what is the profit-maximizing input? How many ice cream scoops should Rodirgo sell to maximize his profit? What would be his profit? (b) The government introduces a corporate tax of 20%. What is Rodrigo's after-tax profit? How much of each input will he be using now? (c) Instead of introducing the 20% corporate tax in part (b), the government decided to add an ad valorem input tax of 100% to input 2. What is the profit-maximizing amount of each input to use? What is the profit-maximizing output? How much is Rodrigo's new profit

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