The number n of units of its product that Company X

The number n of units of its product that Company X is scheduled to produce in month t of its next fiscal year is given by the formula \(n = \frac{900}{1+c2^{-t}}\), where c is a constant and t is a positive integer between 1 and 6, inclusive. What is the number of units of its product that Company X is scheduled to produce in month 6 of its next fiscal year?

\(n = \frac{900}{1+c2^{-t}}\)
There are two variables ,c, which is constant and t depends on the month we are talking about. Here t is given as 6 we require value of c..

(1) Company X is scheduled to produce 180 units of its product in month 1 of its next fiscal year.
n and t are given, so we can easily find c, so sufficient
\(n = \frac{900}{1+c2^{-t}}\)......\(180= \frac{900}{1+c2^{-1}}..........180=\frac{900}{(1+c/2)}.\),
\(1+c/2=5......c=8\)
Sufficient

(2) Company X is scheduled to produce 300 units of its product in month 2 of its next fiscal year.
n and t are given, so we can easily find c, so sufficient
\(n = \frac{900}{1+c2^{-t}}\)......\(300= \frac{900}{1+c2^{-2}}..........300=\frac{900}{(1+c/4)}.\),
\(1+c/4=3......c=8\)
Sufficient

D