What the most in debt a company will be f debt represents negative profit, p(t), p(t) = t^2-5t-50 w/p(t) in?

Question

units of $1000 and t = fiscal quarters?

a. -$50,000

b. 2.5 fiscal quarters

c. -$56,250

d. 56.25 fiscal quarters

Answer 1

Find the vertex.

The x-coordinate of the vertex of y = ax^2 + bx + c is x = -b/(2a).

a = 1 and b = -5.

x = -(-5)/(2*1) = 5/2

Now find p(5/2) to find their largest debt.

p(5/2) = (5/2)^2 - 5(5/2) - 50

= 25/4 - 25/2 - 50

= 25/4 - 50/4 - 200/4

= -275/4

= -68.75

Remember that p(t) is in 1000's, so the answer is -68750.