which ordered pair maximizes the objective function $p = 3x + 8y$?\n(0, 0)\n(2, 7)\n(5, 6)\n(8, 1)
which ordered pair maximizes the objective function $p = 3x + 8y$?\n(0, 0)\n(2, 7)\n(5, 6)\n(8, 1)
Answer
Answer:
C. (5, 6)
Explanation:
Step1: Evaluate for (0, 0)
$P = 3\times0+8\times0=0$
Step2: Evaluate for (2, 7)
$P = 3\times2 + 8\times7=6 + 56=62$
Step3: Evaluate for (5, 6)
$P = 3\times5+8\times6=15 + 48=63$
Step4: Evaluate for (8, 1)
$P = 3\times8+8\times1=24 + 8=32$ Since $63>62>32>0$, the ordered - pair (5, 6) maximizes the function.