Answer:
Step-by-step explanation:
The number of items sold that gives the max profit is found in the vertex of this quadratic, (h, k). Lucky for us we have a formula for k that will give us exactly what we are looking for, and nothing else.
where a = -.5, b = 50, and c = -300:

The max profit is $950 per week
Answer:
The height of the taller building is 
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the value of h1
with the angle of elevation
we know that


step 2
Find the value of h2
with the angle of depression
we know that


step 3
Find the height of the taller building
The height of the taller building is the sum of h1 plus h2
so

Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form

is equal to

Part 1)
in this problem we have

so

substitute in the formula

therefore


Part 2)
in this problem we have

so

substitute in the formula





therefore

