4 15 points TanApCalcBr10 34010 My Notes Ask The management

4. +15 points TanApCalcBr10 3.4.010. My Notes Ask The management of Acrosonic plans to market the ElectroStat, an electrostatic speaker system. The marketing department has determined that the demand for these speakers is represented by the following function, where p denotes the speaker\'s unit price (in dollars) and x denotes the quantity demanded. p0.01x+760 (oS x S 20,000) (a) Find the revenue function R. R(x) = (b) Find the marginal revenue function R(x) R\'(x) = (c) Compute the following value R (6300) Interpret your results. When the level of production is units, the production of the next speaker system will bring an additional revenue of dollars.

Solution

p = -0.01x + 760          (0 x 20000)

(a)

R(x) = xp = x*(-0.01x + 760) = -0.01*x^2 + 760x

(b) R’(x) = -0.02*x + 760

(c) R’(6300) = -0.02*6300 + 760 = 634