127/4 = 31.75 = 31
85/2 = 42.5 = 43
She can only make 31 full gift baskets with the amount of soap she has.
Therefore, Chloe can make 31 gift baskets.
We're minimizing

subject to

. Using Lagrange multipliers, we have the Lagrangian

with partial derivatives

Set each partial derivative equal to 0:

Subtracting the second equation from the first, we find

Similarly, we can determine that

and

by taking any two of the first three equations. So if

determines a critical point, then

So the smallest value for the sum of squares is

when

.
Answer:
ticket in Japan: 17.23 $
ticket in Switzerland: 13.26 $
Step-by-step explanation:
let the price of one movie ticket in Switzerland be Y
let the price of one movie ticket in Japan be X
then accordingly,
it is given that
3x + 2y = 78.21
and
2x +3y = 74.24
multiplying the first equation by 2 and second by 3 we get
6x + 4y = 156.42
6x + 9y = 222.72
subtracting 1st equation from second we get
5y = 66.3
y = 13.26
by putting in the value of y in equation 2 we get:
2x + 39.78 = 74.24
2x= 34.46
x= 17.23
Choice (A) has zero slope becsuse her cost doesn't depend on the number of visits.
Answer:
if you have a bad credit score it can increase your debt ratio
Step-by-step explanation: