Question

The owners of the big belly deli are having a special on bologna sandwiches with a limit of six per customer the amount of heartburn obtained from n sandwiches is g(n)=n^3-12n-11 how many sandwiches give the least amount of heartburn

Answer 1

To find the number of bologna sandwiches that give the least amount of heartburn, we need to minimize the given function. The number of sandwiches that give the least amount of heartburn is 2.

Step-by-step explanation:

The given function represents the amount of heartburn obtained from n sandwiches:

g(n) = n^3 - 12n - 11

To find the number of sandwiches that give the least amount of heartburn, we need to minimize the function g(n).

1. Take the derivative of g(n) with respect to n: g'(n) = 3n^2 - 12
2. Set g'(n) equal to 0 and solve for n:

3n^2 - 12 = 0

n^2 - 4 = 0

(n - 2)(n + 2) = 0

n = 2 or n = -2

Since the number of sandwiches cannot be negative, we take n = 2 as the number of sandwiches that give the least amount of heartburn.