a. A gym offers the following payment scheme for a month: a member may either pay ₹200 per visit for up to 10 visits, or pay a one-time amount of ₹1800 for unlimited visits (including more than 10). If v denotes the number of visits a member makes in that month (v∈N∪{0}), write the cost C(v) as a piecewise function giving the minimum amount the member must pay.
b. Specify the domain of C.