Question

which ordered pair minimizes the objective function $c = 60x + 85y$?\
$\bigcirc$ $(0, 160)$\
$\bigcirc$ $(55, 70)$\
$\bigcirc$ $(80, 50)$\
$\bigcirc$ $(170, 0)$

Explanation:

Step1: Calculate C for (0,160)

$C = 60(0) + 85(160) = 0 + 13600 = 13600$

Step2: Calculate C for (55,70)

$C = 60(55) + 85(70) = 3300 + 5950 = 9250$

Step3: Calculate C for (80,50)

$C = 60(80) + 85(50) = 4800 + 4250 = 9050$

Step4: Calculate C for (170,0)

$C = 60(170) + 85(0) = 10200 + 0 = 10200$

Step5: Compare all C values

Compare 13600, 9250, 9050, 10200 to find the minimum.

Answer:

(80, 50)