Answer:

Step-by-step explanation:
We have been given that the Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and including 20 pounds. Above 20 pounds, the Candy Factory charges $1.30 per pound for the entire quantity, plus a quantity surcharge k.

For the price function be to continuous at
, the value of both functions at
must be equal. Because a function is continuous if the right hand limit is equal to left hand limit.

Let us solve for k.


Therefore, the price function p is continuous at
, when k is equal to 6.