Problem: After being built, a car must be painted. The revenue, R , in dollars, when x cars are painted can be modelled by the function R ( x ) = 1000 x – 0.01 x 2 . a) Determine the average rate of...

Problem: After being built, a car must be painted. The revenue,
R, in dollars, when
x
cars are painted can be modelled by the function
R(x)
=
1000x
– 0.01x
².

a)
Determine the average rate of change of revenue when painting 20 to 50 cars.

b)
Estimate the instantaneous rate of change of revenue after painting 50 cars.

c)
Interpret the results found in parts a) and b).