Answer:
(x,y)=(0,7.333)
Step-by-step explanation:
We are required to:
Maximize p = x + 2y subject to
- x + 3y ≤ 22
- 2x + y ≤ 14
- x ≥ 0, y ≥ 0.
The graph of the lines are plotted and attached below.
From the graph, the vertices of the feasible region are:
At (0,7.333), p=0+2(7.333)=14.666
At (4,6), p=4+2(6)=4+12=16
At (0,0), p=0
At (7,0), p=7+2(0)=7
Since 14.666 is the highest, the maximum point of the feasible region is (0,7.333).
At x=0 and y=7.333, the function p is maximized.
Answer:
AC = 12 units.
Step-by-step explanation:
Δ ACD is right-angled. ( as CD ⊥ AB).
cos 45° = CD / AC = 6√2 / AC
AC = 6√2 / cos 45°
AC = 6√2 / 1 /√2
= 6√2 *√2
= 6 * 2
= 12 (answer)
HOPE THIS HELPED ;3
You can make this into a fraction, and then simplify it.
15/10, right?
15/10 = 3/2
Then compare 3/2 to the rest of the equation
3/2 = x/16
2 * 8 = 16
so
3 * 8 = x
x = 24
Kim would put x number of pizza slices on her pizza.
So she would be putting on 24 slices on her pizza.