(3) Suppose a demand function is given by q = D(p) = 30 (6-2+1) " where q is the demand for a product and p is the price per item in dollars. Find the rate of change in the demand for the product per unit change in price (i.e., find dq/dp). (4) Let z = f(x, y) = 2x 5xy+3x + 2x y + 1. Find the following: (a) fx(x, y) = = af (b) fz(0,1) = of (0,1 1) (c) fy(x,y) = = af (d) fy(2,0) : (e) fxx(x, y) af = (2,0) = af 2 (f) fxy(x, y) = af (g) fyy(x, y) = af = 2 (5) Let Let y = 3xe4-2y. Find the following: af (a) fx(x, y) = Jx (b) fy(x, y) (6) Let y = af = 2xe 2y -3x5y. Find the following: (a) fx(x, y) = af af (b) fy(x, y) = af (c) fxx(x, y) = 2 af (d) fxy(x, y) = af (e) fyy(x, y) = = (7) The revenue from the sale of x chicken and y rabbits is given by R(x, y) = 6x + 8y - 3xy. 2 Suppose that 6 chicken and 3 rabbits are sold. (a) What is the approximate effect on revenue if the number of chicken sold increases by 1, while the rabbits sales remain constant? (b) What is the approximate effect on revenue if the number of rabbits sold increases by 1, while the chicken sales remain constant?