Question

Function P models the monthly profit, P(x), a company earns for making and selling x units. P(x)=-0.0005(x^2+50)(x-40)(x-100)

Answer 1

Answer:

Step-by-step explanation:

A function P that models the monthly profit P(x)by selling x shirts is,

P(x) = -0.0005(x² + 50)(x - 40)(x - 100)

If profit P(x) to the company P(x) = 0,

-0.0005(x² + 50)(x - 40)(x - 100) = 0

(x - 40) = 0 ⇒ x = 40

(x - 100) = 0 ⇒ x = 100

That means profit to the company is zero when the number of shirts sold are 40 or 100.The company will make a profit if it makes and sells between 40 and 100 units, but it won't make a profit If it makes and sells less than 40 or greater than 100.