Using Lagrange multipliers, we have the Lagrangian

with partial derivatives (set equal to 0)




Substituting the first three equations into the fourth allows us to solve for

:

For each possible value of

, we get two corresponding critical points at

.
At these points, respectively, we get a maximum value of

and a minimum value of

.
The expression would be 2.98 * 10 to the -7 power? Please tell me if I'm wrong.
Answer:
29
Step-by-step explanation:
40/8 + 3*4*2 =
5 + 12*2 =
5 + 24 =
29
Answer:
Friend 1: $11.53 Frind 2: $5.21 Friend 3: $5.21
Step-by-step explanation:
15.63/3=5.21
One friend pays for the rest.
1.29*3=$3.87=drinks
salad=$2.45
5.21+3.87+2.45=11.53