Digital Genius manufactures a cell phone charging pad that can fully charge any cell phone that is placed on it in 15 minutes. The analytics department determined that at a price of $120.00 each, the demand would be 3 thousand pads, and at $80.00 each, the demand would be 13 thousand pads. Based on the assumption that a linear relationship exists between price and demand, the price-demand equation is given by

p(x)=-4+132,

where x is the number of thousands of pads in demand. At what price point should they sell the pads to have a demand of 11 thousand pads?

Question

Digital Genius manufactures a cell phone charging pad that can fully charge any cell phone that is placed on it in 15 minutes. The analytics department determined that at a price of $120.00 each, the demand would be 3 thousand pads, and at $80.00 each, the demand would be 13 thousand pads. Based on the assumption that a linear relationship exists between price and demand, the price-demand equation is given by

p(x)=-4+132, 

where x is the number of thousands of pads in demand. At what price point should they sell the pads to have a demand of 11 thousand pads?

anonymous · Answer

A. $33.00
B. $30.25
C. $88.00
D. $44.00