The management of Acrosonic plans to market the Electrostat, an electrostatic sp

Question

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. p=-0.03x + 890 (0 SxS20,000) (a) Find the revenue function R. R(x) =1-0.03x2 +890 R(x)--0.03x, 890 (b) Find the margnal revenue functionR) Rx).06x 890 (c) Compute the following value. r(7100) =464 Interpret your results. When the level of production is units, the production of the next speaker system will bring an additional revenue of dollars.

Explanation / Answer

R'(7100)=464 means,

When the level of production is 7100 units, the production of the next speaker system will bring an additional revenue of 464 dollars.

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