In order to boost sales quink inc introduces a new line of

Question

1. The price function for a product is p(t) = (60 - 3/t) and the demand function is x(t) = (1200 - 0.05t²). Find R'(t) when t=80

2. If f(x) = x(6 +e^3x) find the value of f'( 1.5 ).

3. In order to boost sales, Quink Inc introduces a new line of Pink Quinks. The revenue equation is given by R(x) = 75 4. x²e^-0.09x. What is the maximum revenue?

5. If f(x) = e^3.0x / (1+ 3 x) find the value of f'( 0.3 ).

6. If f(x) = (1+e^3.5x)(1-e^2x) find the value of f'( 0.3 ).

7. If f(x) = x²( 14 -e^1-2x) find the value of f'( 1.6 ).

8. Due to the phenomenal success of Zinc Pink Quinks, a website dedicated to them is set up. Management wishes to know is sales are related to how many times a day people click on the Zinc Pink Quink Link. It is found8 that demand is given by the equation x = - 102 log(t/19 ), where t is the number of clicks per day measured in thousands. If sales are 172 per day how many clicks can be expected per day?