Answer
$19,600$ board feet
Work Step by Step
RECALL:
Number of Board Feet = $\dfrac{\text{number of boards} \times \text{thickness} \times \text{width} \times \text{length}}{12}$
where thickness, width, and length are all in inches.
Using the formula above. with 14 feet = 168 inches, gives:
Number of Board Feet
$\\=\dfrac{175 \times 1 \times 8 \times 168 }{12}
\\=\dfrac{235,200}{12}
\\=19,600$