Answer:
1.5 hours
Step-by-step explanation:
there are 6 hours in between the times of 4 and 10
so 4 sister split up 6 hours equally
to do this, we divide 6 and 4
6/4 = 1.5 hours
each sister can spend 1.5 hours on the computer
Calculate 5% of how much she sold, then add it to her weekly salary.
5% = 0.05
Commission: 4600 x 0.05 = $230
Total pay: 380 + 230 = $610
Let <em>n</em> be the smallest of the three numbers. Then
<em>n</em> + (<em>n</em> + 1) + (<em>n</em> + 2) = 5 ((<em>n</em> + 1) - 22)
Solve for <em>n</em> :
3<em>n</em> + 3 = 5 (<em>n</em> - 21)
3<em>n</em> + 3 = 5<em>n</em> - 105
2<em>n</em> = 108
<em>n</em> = 54
Then the three numbers are 54, 55, and 56.
Answer:
see below
Step-by-step explanation:
If we let X represent the number of bagels produced, and Y the number of croissants, then we want ...
(a) Max Profit = 20X +30Y
(b) Subject to ...
6X +3Y ≤ 6600 . . . . . . available flour
X + Y ≤ 1400 . . . . . . . . available yeast
2X +4Y ≤ 4800 . . . . . . available sugar
_____
Production of 400 bagels and 1000 croissants will produce a maximum profit of $380.
__
In the attached graph, we have shaded the areas that are NOT part of the solution set. (X and Y less than 0 are also not part of the solution set, but are left unshaded.) This approach can sometimes make the solution space easier to understand, since it is white.
The vertex of the solution space that moves the profit function farthest from the origin is the one we are seeking. The point that does that is (X, Y) = (400, 1000).