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In: Advanced Math

A coffeehouse sells a pound of coffee for ​$8.25. Expenses are ​$3 comma 500 each​ month,...

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

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