A company predicts that sales will increase rapidly after a new product is released, with the number of units sold weekly modeled by N $\mathrm { N } = 7000 ( 0.2 ) ^ { 0.5 ^ { t } }$ , where t represents the number of weeks after the product is released.
What is the expected upper limit on the number of units sold per week?
A) 9100 units
B) 7000 units
C) 8400 units
D) 1400 units

Question

Quizplus · Accepted Answer

The upper limit on the number of units sold per week is determined by evaluating the model as $t$ approaches 0, since the factor $0.5^t$ approaches 1 as $t$ gets closer to 0, making the model approach $7000 \times 1 = 7000$ units.

A Company Predicts That Sales Will Increase Rapidly After a New