Solve ONLY ONE problem. You will not receive any points If attempt both problems. Show your work. 1. For the given cost function C(x) = 78400 + 800:: + x2 find: a. The average cost at the production level 1000. b. The marginal cost at the production level 1000. c. The production level that will minimize the average cost. d. The minimal average cost. (Use your calculator but show your work and include any graphing, if applicable) 2. A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cmfmin. At what rate is the volume of the snowball decreasing when the radius is 12 cm. Formula: V = gin-3 (Use your calculator but show your work and include any graphing, if applicable)