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Unformatted text preview: econ/ams 11b winter 2010 Midterm 1 Review 1. Compute the indicated partial derivatives. a. f ( x,y,z ) = 2 x 3 yz 2- 3 xy 3 z + 5 x 2 y 2- 7 yz 5 + 11 x- 1; find f x ,f y and f zx . b. q ( u,v ) = u 2 v- 3 uv 3 2 u + 3 v ; find ∂q ∂u and ∂q ∂v . c. w = r 2 ln(3 r + s 2 ); find w r , w s and w rs . 2. The demand function for a firm’s product is given by Q = 20 √ 6 Y + 5 p s 3 p + 4 , where • Q is the monthly demand for the firm’s product, measured in 1000’s of units, • Y is the average monthly disposable income in the market for the firm’s product, measured in 100’s of dollars, • p s is the average price of a substitute for the firm’s product, measured in dollars, • p is the price of the firm’s product, also measured in dollars. a. Find Q , Q Y , Q p s and Q p when the monthly income is $2500 and the prices are p s = 15 and p = 12. Round your (final) answers to two decimal places....
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This note was uploaded on 03/15/2010 for the course ECON 11 taught by Professor Yk during the Spring '10 term at University of California, Santa Cruz.
- Spring '10