Four students from Mistville and four from Fogtown will attend school in New York City this year, and each group will rent an apartment. Type A apartments are each \(\mathrm{1,390}\) square feet, have 2 bedrooms, a \(\mathrm{10 \times 10}\)-foot kitchen, and are 4 miles from the school. The price per square foot per month is \(\mathrm{\$1.94}\). Type B apartments are each \(\mathrm{1,250}\) square feet, have 3 bedrooms, an \(\mathrm{11 \times 11}\)-foot kitchen, and are 3 miles from the school. The rent is \(\mathrm{\$2,250}\) per month. Type C apartments are each \(\mathrm{1,210}\) square feet, have 2 bedrooms, a \(\mathrm{7 \times 9}\)-foot kitchen, and are 4.5 miles from the school. The rent is \(\mathrm{\$2,190}\) per month. The Mistville students choose a type C apartment and the Fogtown students choose a type A apartment.
