Question

Optimization. Find positive numbers 2 and y satisfying 10x + 2y = 16 that minimize the quantity 2y + 3x + 1 QUESTION: Which equation below represents an objective function for the optimization problem? [A] P(x) = 502² – 1571 + 129 [B] P(x) = -5022 – 1572 [C] P(x) = 257? – 77x + 65 10] P (2) = 502-772 LE] P(3) = -5032 – 1574 + 65

Answer 1

to 10x + 2y = 16 that minimize quantity ay + 3x + 1 & here we need to minimize quantity i objective function P z 2y + 3x + 1 - 1 from 10x + 2 y = 16 2) 2y = 16 - 100 = 16 - 10x From P(X) = 2 (8 – 50) + 3x+1 = 2(64-800 +250 +30 +1 Plox) = 128 - 160x + 50x + 3x +1 . [P(8) 2 50x² - 15706 + 129 2