The Demand for a Stethoscope Is Given by Where P $R = x p = - 0.001 x ^ { 2 } + 140 x$

Multiple Choice

The demand for a stethoscope is given by where p is the unit price ( in dollar) and x is the number of units. The total revenue R (in dollars) obtained by producing ans selling x units given by the model $R = x p = - 0.001 x ^ { 2 } + 140 x$ . Write and solve an equation to determine a price that yields revenue of $50 million. Use a graphing utility to verify your result.

A) Because the solutions are imaginary, there is no quantity of units x or price p that will yield a revenue of $50 million.
B) Because the solutions are imaginary, there is no quantity of units x or price p that will yield a revenue of $75 million.
C) Because the solutions are imaginary, there is no quantity of units x or price p that will yield a revenue of $25 million.
D) Because the solutions are imaginary, there is no quantity of units x or price p that will yield a revenue of $60 million.
E) Because the solutions are imaginary, there is no quantity of units x or price p that will yield a revenue of $80 million.