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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

The Demand for a Stethoscope Is Given by Where P R=xp=−0.001x2+140xR = x p = - 0.001 x ^ { 2 } + 140 xR=xp=−0.001x2+140x

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