Answer:
the current total contribution margin = 100 x 60% x ($80 - $20) = $3,600 per day
scenario 1: $10 discount
$3,600 = 100 x ?% x ($70 - $20)
$3,600 = $5,000 x ?%
$3,600 / $5,000 = ?%
occupancy rate = 72%
scenario 2: 10% discount
$3,600 = 100 x ?% x ($72 - $20)
$3,600 = $5,200 x ?%
$3,600 / $5,200 = ?%
occupancy rate = 69.23%