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Please solve the below questions so I can learn it 1) A consumer's utility function is given by U(x1, X2) = 2x1 X2 + 3x1

Please solve the below questions so I can learn it

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1) A consumer's utility function is given by U(x1, X2) = 2x1 X2 + 3x1 where x1 and x2 denote the number of items of two goods Gl and G2 that are bought. Each item costs $1 for Gl and $2 for G2. What is the "marginal rate of substitution", a x1/ x2 ? 2) Suppose that your grade on this examination is described by G = 2.5A.SES, where G is your numerical score, A is ability, and E is effort measured in terms of hours studied. What is OAIDE ? 3) For the following equations, find the specified derivative. find dy/dx. i) x2+3xy+5y2=23 ii) 40*price+7*price*quantity+ Vquantity=2000. Find d(price)/d(quantity). (Note: Vquantity is the square root of quantity) iii) 1000=51 0.6 K0.4. Find dK/dL. iv) The production function for a widget factory is 1000=15L07 K0.3 Find dK/dL and dL/dK. Interpret what they mean

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