The demand equation for a microwave is p = 140 – 0.001x where p is the unit price in dollars and x is the number of units produced and sold.

The demand equation for a microwave is p = 140 – 0.001x where p is the unit price in dollars and x is the number of units produced and sold. The cost equation for the microwave is C = 40x + 150,000 where C is the total cost in dollars and x is the number of units produced. The total profit P obtained by producing and selling x units is given by P = R – C = xp – C. Is there a price p that yields a profit of $3 million? Explain your answer