- ounces of raisin.
- ounces of almond.
Hint- This problem can be solved using unitary method.
A recipe for trail miss uses 7 ounces of almonds with 5 ounces of raisins.
If we mix almond and raisin in equal proportion we get 7+5=12 ounces.
We know that 16 ounces make 1 pond.
Hence, in a mixture of 12 ounces we have 5 ounce of raisin,
so in a mixture of 1 ounces we have ounce of raisin,
so in a mixture of 16 ounces we will have ounces of raisin.
Therefore, the amount of almond is = ounces.
Insert the values of x and y for any point in the heavily shaded region and see if it satisfies both inequalities
We can see that the origin (0,0) is inside the shaded region so use these values because they are the easiest to compute
Plug in x = 0 and y = 0 into the first inequality
0 + 2.0 = 0 which is greater than 5.
So we can eliminate both A and D since they both contain incorrect inequalities
Now, test the second inequality with x = 0 and y = 0
For B we get
3.0 + 0 = 0 which is indeed less than 4
C is not applicable since 0 is not greater-than-equal to 4
Hence B is the correct solution
This can be verified using a graphing tool (see image)
If he works for 12.5 hours a week at one job he will have more than $150 in a week.
as a busboy, he will earn $81.25
and as a clerk, he will earn, $100 if he works for 12.5 hours a week which is $181 a week.
2. -11 -21 -31 -41 -51 -61 -71
The Lagrangian is
with partial derivatives (all set equal to 0)
for , and
Substituting each into the second sum gives
Then we get two critical points,
At these points we get a value of , i.e. a maximum value of and a minimum value of .