Solve the Problem $x$ Items Is Given By $R(x)=24 \ln (7 x+1)$

Multiple Choice

Solve the problem.
-Assume the total revenue from the sale of $x$ items is given by $R(x) =24 \ln (7 x+1)$ , while the total cost to produce $x$ items is $C(x) =\frac{x}{5}$ . Find the approximate number of items that should be manufactured so that profit, $R(x) -C(x)$ , is maximum.

A) 173 items
B) 120 items
C) 34 items
D) 147 items