Answer:
Wyatt's office will take 8 weeks to recycle a total of 32 kilograms of paper.
Step-by-step explanation:
Given that Wyatt's office recycled a total of 28 kilograms of paper over 7 weeks.
So in one week, Wyatt's office will recycle = 28/7 = 4 kilograms / per week
Therefore,
- unit rate = 4 kilograms / per week
Thus, weeks taken by Wyatt's office to recycle 32 kg of paper
32/4 = 8 weeks
Hence, Wyatt's office will take 8 weeks to recycle a total of 32 kilograms of paper.
Answer:
(3, 1)
Step-by-step explanation:
Given the following constraints:
2x + 4y ≤ 10
x + 9y ≤ 12
x ≥ 0
y ≥ 0
We have to first graph the above constraints and secondly, we find the boundary points for the feasible region. This is done by plotting the graphs of 2x + 4y ≤ 10 and x + 9y ≤ 12.
From the graph, the following points satisfy the constraints:
(0,0)
, (3,1)
, (0,4/3)
, (5,0)
Given that:
P = x + 6y
For (0, 0): P = x + 6y = 0 + 6(0) = 0
For (3, 1): P = x + 6y = 3 + 6(1) = 9
For (0, 4/3) P = x + 6y = 0 + 6(4/3) = 8
For (5, 0) P = x + 6y = 5 + 6(0) = 5