9514 1404 393
Answer:
- Constraints: x + y ≤ 250; 250x +400y ≤ 70000; x ≥ 0; y ≥ 0
- Objective formula: p = 45x +50y
- 200 YuuMi and 50 ZBox should be stocked
- maximum profit is $11,500
Step-by-step explanation:
Let x and y represent the numbers of YuuMi and ZBox consoles, respectively. The inventory cost must be at most 70,000, so that constraint is ...
250x +400y ≤ 70000
The number sold will be at most 250 units, so that constraint is ...
x + y ≤ 250
Additionally, we require x ≥ 0 and y ≥ 0.
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A profit of 295-250 = 45 is made on each YuuMi, and a profit of 450-400 = 50 is made on each ZBox. So, if we want to maximize profit, our objective function is ...
profit = 45x +50y
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A graph is shown in the attachment. The vertex of the feasible region that maximizes profit is (x, y) = (200, 50).
200 YuuMi and 50 ZBox consoles should be stocked to maximize profit. The maximum monthly profit is $11,500.
Perimeter is sum of all the sides.
SO, perimeter of that triangle will be
1/4 + 1/4 + 3/8.
The LCM of denominators (4,4,8) = 8.
Hence writing 1/4 = 2/8.
so,
Perimeter = 2/8+2/8+3/8 = (2+2+3)/8 = 7/8.
So, 7/8 ft is the perimeter of that triangle. :)
Answer:
B. +3 - 1 + 5 - 4
Step-by-step explanation:
The plus means going up and the negative means you are going down.
You are going up 3 floors (+3)
You are going down 1 floor ( -1)
You are going up 5 floors (+5)
You are going down 4 floors (-4)
Let me know if this helps!
Answer:
She can make 2 batches.
Step-by-step explanation:
Since she has 4/5 and only needs 2/5, she can make two batches. (2/5 is half of 4/5)
Answer:
78
Step-by-step explanation:
You take the original total: 60, and multiply it by 30 to get 1,800. You then divide 1,800 by 100 to get 18. 18 is your 30%. Now, you add the 30% to 60 getting your total number of ducks: 78.
The equation version:
It is just proportions.
