The weekly demand for the PULSE 25 LED TV isp = 600 – 0.05.x,0 < x < 12000, where p denotes the wholesale unit price in dollars and r denotes thequantity demanded. The total cost function associated with manufacturing the PULSE25 is given byC(r) = 0.000002.x – 0.03x? + 400x + 80000,where C(x) denotes the total cost incurred in producing r sets.(a) Find the revenue function R and the profit functionP.(b) Find the marginal cost function, the marginal revenue function, and the marginalprofit function,(c) Compute C'(2000), R'(2000), and P'(2000). Interpret your results.

(a) The revenue is given by R(x)=demand ×price=x×600-0.05x=600x-0.05x2 Therefore R(x)=600x-0.05x2…

Answered: p = 600 – 0.05.x, - < 12000, where p…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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p = 600 – 0.05.x, - < 12000, where p denotes the wholesale unit price in dolla ty demanded. The total cost function associated with manu iven by C(x) = 0.000002.x – 0.03.x2 + 400.x + 80000, C(x) denotes the total cost incurred in producing x sets.