Janine works for a company that makes lawn chairs. She knows that they can maximize profits and make $7500 if they sell the chairs for $112 each. She also knows that they will lose $7312 if they sell the chairs for $89 each. a) Write a quadratic relation to model the company’s profits P, in dollars, if the chairs sell for x dollars each.

b) What selling price will ensure a profit of $5000?

plz plz plz i will give u brainliest if u answer with the full proces

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.