MATH SOLVE

3 months ago

Q:
# A company that manufactures mountain bikes makes a daily profit p according to the equation p equals negative 100 x squared plus 4900 x minus 57 comma 424β, where p is measured in dollars and x is the number of mountain bikes made per day. Find the number of mountain bikes that must be made each day to produce a zero profit for the company.

Accepted Solution

A:

Answer:x is approximately 9 or 58.Step-by-step explanation:p = -100x^{2} Β + 4900x - 57,424to find x, when p = 00 = -100x^{2} Β + 4900x - 57,424Using the almighty formularx = (-b Β± βb^2 - 4ac)/2ax = (-4900 Β± β(4900)^2 - 4 (-100)(-57,424)/2(-100)x = (-4900 Β± β24010000+22969600)/-200x = (-4900 Β± β46979600)/-200x = (-4900 Β± 6854.2)/-200x = (-4900 + 6854.2)/-200 or x = (-4900 - 6854.2)/-200x = -9.7 or 58.7x is approximately 9 or 58.