Show all work:
1. 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.