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If possible , I would like an explanation since I am really not understanding 1. Given the function Q - KLl find the partial derivatives

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If possible , I would like an explanation since I am really not understanding

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1. Given the function Q - K"Ll find the partial derivatives ax , and a (Note: this function is known by the name of Cobb-Douglas and is widely used to measure productivity between sectors, There are many empirical works where this type of functions is used.) 2. Given the total cost function, c = Q' - 30' + 60 + 15 develop a variable cost function. Find the derivative of the variable cost function and interpret its economic meaning. 3. The function defined by fix, y) - -2x -2xy -2y + 36x + 42y -158 for all (x, y) has a maximum. Find it. (Hint: to find the maximum, you will have to derive the function partially respect to x and respect to y, and in both cases set equal to zero and solve for each variable.) 4. If $ 150 is deposited into a savings account that earns 5% annual compounded interest continuously, what will the account be worth over 4 years? 5. $20,000 euros are invested at an annual rate of 4% capitalized continuously. Find the total amount at the end of 10 years

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