Question: The management of Sony plans to market a SuperElectroStat, an electronic speaker system. The marketing department has determined that the demand for these speakers is p = -0.04x + 500 Where (0 = x = 20, 000) where p denotes the speaker's unit price ($) and x denotes the quantity demanded. Suppose that Sony production department estimates that the total cost ($) incurred in manufacturing x SuperElectroStat speaker system in the first year of production will be C (x) = 200x + 300, 000
a) Find the revenue function R.
b) Find the marginal revenue function R' .
c) Compute R' (5000).
d) Find the profit function P.
e) Find the marginal profit function P'.
f ) Compute P ' (5000), P ' (8000).