The Lagrangian is
It has critical points where the first order derivatives vanish:
From the first two equations we get
Then
At these critical points, we have
(maximum)
(minimum)
The answer is ten million six hundred thousand.
Answer:
132 children and 88 adults
Step-by-step explanation:
let x represent the amount of kids and y represent the amount of adults.
since the problem says there was a total of 220 people at the fair an equation can be made
x+y=220
the problem tells that each childrens ticket was 1.5$ and each adult ticket was $4 and that a total of $550 was made that day, we can use the knowledge to make an equation:
1.5x + 4y = 550
using the equations we can make this systems of equations:
1.5x + 4y =550
x + y =220
solve the systems of equations by subracting y on both sides of th bottom equation:
x=220-y
since x is equivant to 220-y it can be substitued for x in the first equation to make this:
1.5(220-y)+4y =550
--solve for y--
y=88 - there were 88 adults
substute 88 for y in the second equation
x+88=220
--solve for x--
x=138 - there were 132 children
Boxes = 3_2/5
15 = total number of bags of favors
Each bag has 3 items inside
3 × 15 = 45
Total number of items = number of boxes plus (15 × 3).
So, choice A is the answer.
