A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out
the maximum amount of profit the company can make, to the nearest dollar.
y = -23x^2 + 1317x - 10749

Step-by-step explanation:

y=-23x^2+1317x-10749

dy/dx=-64x+1317, d2y/d2x=-64, since d2y=-65, a global max occurs when dy/dx=0

-64x+1317=0, x=1317/64=20.578125

y(20.578125)=$6612.83

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt