Question

Suppose the demand for Digital Video Recorders (DVRs) is given by Q = 250 - .25p + 4pc, where Q is the quantity of DVRs demanded (in 1000s), p is the price of a DVR, and pc is the price of cable television. How much does the quantity demanded for DVRs change if the p rises by $40?

Answer 1

The question is incomplete. Here is the complete question

Suppose the demand for Digital Video Recorders (DVRs) is given by Q = 250 - .25p + 4pc, where Q is the quantity of DVRs demanded (in 1000s), p is the price of a DVR, and pc is the price of cable television. How much does the quantity demanded for DVRs change if the p rises by $40? A) drops by 10,000 DVRs B) increases by 16,000 DVRs C) drops by 2,500 DVRs D) increases by 4,000

Answer:

Drops by 10,000 DVRs

Explanation:

The demand for digital video recorders is expressed by

Q= 250- .25p+4pc

Where

Q represents the quantity demanded by the customers

P represents the price of DVR

pc represents the price of cable television

Since the factor of p in the expression above is negative, this implies that the quantity of DVR demanded in the market will reduce

If the price of DVR increase by $40, then the quantity demanded will reduce by

= 0.25×40×1000

= 10×1000

= 10,000 units

Hence the quantity of DVRs drops by 10,000 DVRs if the price is increased to $40