A)
The vertex can be determined using the completing square method.
f(x) = -(x² - 44x + 384)
= -(x² - 44x + 384 + 22² - 22²)
= -(x - 22)² - 384 + 22²
= -(x - 22)² + 100
The vertex is (22 , 100) and this means that the maximum profit(due to negative sign of coefficient of x) is $100 and is achieved when 22 combos are sold
B) 0 = -(x - 22)² + 100
x - 22 = 10
x = 32
x - 22 = -10
x = 12
This means the shop gains no profit when it sells 32 or 12 combos, and this can be due to the production cost being equal to the money gained via sales.
2 + 2 - 1 + 1267788 - 100
Using BODMAS (Order of operations);
We add first:
2 + 2 + 1267788 = 1267792
Secondly we subtract:
-1 - 100 = -101
Finally add the two answers:
1267792 + -101 = 1267691
X = $20 bills
6x = $5 bills
x(20) + 6x(5) = 1450
20x + 30x = 1450
50x = 1450
x = 29
6(29)= 174
