MATH 205 Midterm: MATH 205 KSU Test 3s05

• School: Kansas State University
• Department: Mathematics
• Course: MATH 205
• Professor: All

Document Summary

Please read the problems carefully and do all you are asked to do. You can use the back page as a scratch paper. Total/100 #1 #2 #3 #4 #5 #6 #7 #8 #9. The function f (x) = 3x2 bx + c where b and c are constants has a critical point at x = 1 with the critical value 4. (a)(6 points). Find all in ection points of f (x) = x4 5x3 + 12. Find the global maxima and minima of f (x) = xe 0. 2x on (a)(6 points). The total cost, in dollars, for producing a product is given by. C(q) = q3 62. 5q2 + 500q + 100, 000, where 0 q 100. Assume that the product can be sold at a constant price of per unit. (a)(8 points). Determine the level of production q that will maximize the pro t. (b)(4 points).