Adamyan Urban Diner is a charity supported by donations that provides free meals to the homeless. The diner's budget for May was based on $3,100$ meals, but the diner actually served $3,300$ meals. The diner's director has provided the following cost data to use in the budget: groceries, $$4\mathrm{.}45$ per meal; kitchen operations, $$5,100$ per month plus $$1\mathrm{.}77$ per meal; administrative expenses, $$4,100$ per month plus $$0\mathrm{.}42$ per meal; and fundraising expenses, $$2,100$ per month. The director has also provided the diner's statement of actual expenses for the month:

$\backslash$table$[[\backslash$table$[[$Adamyan Urban Diner$],[$Statement of Expenses$]]],[$For the Month Ended May $31,],[$Actual meals,$3,300],[$Groceries$,14,635],[$Kitchen operations,$10,600],[$Administrative expenses,$5,306],[$Fundraising expenses,$2,100],[$Total expense,$$32,641$