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 , where p denotes the speaker's unit price (in dollars) and x denotes the quantity demanded. Find the marginal revenue function .

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  , where p denotes the speaker's unit price (in dollars) and x denotes the quantity demanded. Find the marginal revenue function  .

Quizplus · Accepted Answer

The marginal revenue function is given by the derivative of the demand function with respect to quantity, multiplied by the unit price plus the demand function. Mathematically,
MR(x) = (dp/dx) * p + D(x)
Where D(x) = 11eb12b0_aa1d_1a79_b394_9dcb386a2a5d_TB7866_11 is the demand function and p is the unit price.

Taking the derivative of the demand function, we get
dp/dx = -2x/1000

Plugging this back into the marginal revenue function, we get
MR(x) = (-2xp/1000) + 11eb12b0_aa1d_1a79_b394_9dcb386a2a5d_TB7866_11

Simplifying, we get
MR(x) = 11eb12b0_aa1d_1a7c_b394_33437eafacc7_TB7866_11

Therefore, the correct choice is B.

The Management of Acrosonic Plans to Market the ElectroStat, an Electrostatic