The daily revenue, R, of a company that manufactures T-shirts is given by R = f(p) = p(500 − 5p) dollars, where p is the price that the company charges for each shirt. (a) Calculate f(30), and how do you use a complete sentence to explain the significance of your calculation in the context of this problem. (b) Calculate f'(30), and how do you use a complete sentence to explain the significance of your calculation in the context of this problem. (c) Assuming that the company charges $40 for a T-shirt, should the company slightly increase or decrease its price to increase revenue? how do you justify your answers with an appropriate calculation and a complete sentence explanation.
The daily revenue, R, of a company that manufactures T-shirts is given by R = f(p) = p(500 − 5p) dollars, where p is the price that the company charges for each shirt.
(a) Calculate f(30), and how do you use a complete sentence to explain the significance of your calculation in the context of this problem.
(b) Calculate f'(30), and how do you use a complete sentence to explain the significance of your calculation in the context of this problem.
(c) Assuming that the company charges $40 for a T-shirt, should the company slightly increase or decrease its price to increase revenue? how do you justify your answers with an appropriate calculation and a complete sentence explanation.
It is given that daily revenue, R, of a company that manufactures T-shirts is given by dollars, where p is the price that the company charges for each shirt.
Here, signifies that the revenue of the day when 30 T-shirt were sold.
Substitute the value of in .
The revenue of the day when 30 T-shirt were sold is .
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