Please answer all parts of the following questions (you must show all work):
a) The marginal cost and monthly fixed cost for this company.
b) A linear function that expresses the company’s cost.
c) The revenue and profit (or loss) for this company for the months of July and November, if the average price for each TV remote control sold was $20.
Please research and share two or more different real life applications where differentiation/derivatives apply. You must use reliable sources and cite any source used.
Please answer all parts of the following question (you must use Calculus concepts learned and show all work):
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.
Please answer all parts of the following question (you must use Caclulus concepts learned and show allwork):
a) How many TV remote controls must be sold in a month in order to minimize the company’s cost?
b) What is that minimum cost?
2.Lumyn Electronics is currently renting their store space from Quality Holdings Corp.
Quality Holdings owns a total of 250 commercial properties available for rent. The company’s monthly profit, P, in dollars, is given by the equation
P(n) = -8n2 + 3,200n – 80,000
where n is the number of properties rented during a particular month.
a) Would renting out all of the available properties maximize Quality Holdings’ profit?
b) If not, what is the optimum number of properties that the company must have rented in order to maximize its profit?
Please answer all parts of the following question (you must use Caclulus concepts learned and show all work):
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