Definite integral of revenue function


Assignment:

Revenue at day D = (200 + 10D - 100P)*P

D refers to the day, with Monday being 1, Tuesday 2, etc up to Friday with a value of 5. The assignment is as follows:

Q1. If you are charging $1 per cup, what is your revenue for each of the five days? What is your total revenue for the week?

Q2. What is the indefinite integral of your revenue function with respect to D? (If it makes things easier you can substitute 1 for P in the function).

Q3. Now find the definite integral for your revenue function over the interval [0, 5]. What answer do you get? Is it the same as your answer to 1. above?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Definite integral of revenue function
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