NetSell, a the TV remote control supplier for LumynElectronics, has a weekly production cost of q TV remote controlsthat is given by C(q) = 0.000004q3 - 0.03q2 + 100q + 75,000 where q is in the...

NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is given by

C(q) = 0.000004q3 - 0.03q2 + 100q + 75,000

where q is in the interval [0, 10,000].

The demand function for this product is given by

p(q) = -0.005q + 200.

Based on this information, find the following:

a) The marginal cost for the company.

b) The marginal revenue for the company.

c) The marginal profit for the company when 2,000 and 7,000 TV remote controls are manufactured.