Mr. Kelly is selling licorice for $1.50 per piece. The cost of producing each piece of licorice increases the more
he produces. Mr. Kelly finds that the cost to produce a piece of licorice is 10√x dollars per piece where x is the number of licorice pieces. What is the most Mr. Kelly could lose per piece on the sale of licorice. Justify your answer.(hint: profit is the difference between money received and the cost of the licorice.)

Respuesta :

Answer:

R(x) = 1.50x - 10x√x

R'(x) = 1.50 - 5(3/2)√x = 0

1.50 - 7.5√x = 0

7.5√x = 1.50

√x = 2

x = 4

R(4) = $1.50(4) - $10(4)√4 = $6 - $80 = -$74

-$74/4 pieces = -$18.50/piece