A coffeehouse sells a pound of coffee for ?$8.25. Expenses are?$3 comma 500 each? month, plus ?$3.50 for each pound of coffeesold. ?(a) Write a function? R(x) for the total monthly revenue asa function of the number of pounds of coffee sold. ?(b) Write afunction? E(x) for the total monthly expenses as a function of thenumber of pounds of coffee sold. ?(c) Write a function?(Rminus?E)(x) for the total monthly profit as a function of thenumber of pounds of coffee sold. ?(a) The revenue function is?R(x)equals nothing. ?(Simplify your answer. Use integers ordecimals for any numbers in the expression. Do not include the? $symbol in your? answer.) ?(b) The expense function is ?E(x)equalsnothing. ?(Simplify your answer. Use integers or decimals for anynumbers in the expression. Do not include the? $ symbol in your?answer.) ?(c) The profit function is ?(Rminus?E)(x)equals nothing.?(Simplify your answer. Use integers or decimals for any numbers inthe expression. Do not include the? $ symbol in your? answer.)