A student must purchase two types of tablets, Citizen (C) and Dexone (D), where D = 2C. Given a total budget of 5,000 and a minimum currency denomination of 100, investigate two different pricing scenarios (200/100 vs 100/200) to determine the maximum number of each tablet that can be purchased.

Gharama ya $n_C$ Citizen tablets ni $200n_C$.
Gharama ya $n_D$ Dexone tablets ni $100n_D$.
Jumla ya gharama lazima iwe chini au sawa na bajeti:

Kwa kuwa idadi ya kompyuta kibao lazima iwe namba kamili, idadi kubwa zaidi ya $n_C$ ni 12.

Gharama ya jumla: $200(12) + 100(24) = 2400 + 2400 = 4800$. Hii iko ndani ya bajeti.
Kwa Hali ya 1, idadi kubwa zaidi ya kompyuta kibao za Citizen ni $\boxed{12}$ na za Dexone ni $\boxed{24}$.

Hali ya 2: Bei ya Citizen (C) ni 100, Bei ya Dexone (D) ni 200

Gharama ya $n_C$ Citizen tablets ni $100n_C$.
Gharama ya $n_D$ Dexone tablets ni $200n_D$.
Jumla ya gharama lazima iwe chini au sawa na bajeti:

Kwa kuwa idadi ya kompyuta kibao lazima iwe namba kamili, idadi kubwa zaidi ya $n_C$ ni 10.

Gharama ya jumla: $100(10) + 200(20) = 1000 + 4000 = 5000$. Hii inalingana kabisa na bajeti.
Kwa Hali ya 2, idadi kubwa zaidi ya kompyuta kibao za Citizen ni $\boxed{10}$ na za Dexone ni $\boxed{20}$.