Question: Assignment 2 Total Points: 5x6=30 1. Production function is given by the following equation Q = 75[0.3K-0.4 + (1 0.03)L-0:41-60-4) Where K=amount of capital and

Assignment 2 Total Points: 5x6=30 1. Production

Assignment 2 Total Points: 5x6=30 1. Production function is given by the following equation Q = 75[0.3K-0.4 + (1 0.03)L-0:41-60-4) Where K=amount of capital and L=labor. Maximize the production function subject to the constraint 4K + 3L = 120. 2. Find all the first and second partial derivatives for each of the following functions a. z = ln(x2 + 4y2) b. z = x0.470.6 3. Find the relative growth rate (in percentage) of sales at t=4. Given sales, S(t) = 100000e0.5vt. (Hint: Relative growth rate at any point is equivalent to the slope at that point). 4. Use Cramer Rule to solve the following equations. 4x + 3y - 2z = 7 x + y = 5 3x + z = 4 5. If z =*-y Then find dx/dz? x+1

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