Question

Q14 maximize the function 3 Points The following is a problem on Liz's MTH 245 exam and her answer: Question: Use the critical points (8,0),(8,4),(2,10), and (0,10) to maximize the function F(x, y) = 50x + 10y. Answer: The critical point (210) will maximize Fkry) because it contains the largest xiy values Liz's answer and explanation is incorrect. Explain the correct process for solving this problem and provide the correct answer Enter your answer here

Answer 1

critical points (810) ; (8,4); (2,10), & collo) f(114)= sont + loy f(810)2 50x80x02 400 f (814) 2 50x8 + 10x 4 = 400+40 2440 P(2110)- 50 42 +10x102 f(0 (0) 250x of 10010 of 100 2 100 100 + 100 > 200 Among all, 440 is the maximum value. . crritical point (8,4) maximizes Flary)