9514 1404 393
Answer:
$562,500 per hour
Step-by-step explanation:
The cost will be a minimum where C'(x) = 0.
C'(x) = 0.56x -0.7 = 0
x = 0.7/0.56 = 1.25
The cost at that production point is ...
C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625
The minimum production cost is $562,500 per hour for production of 1250 items per hour.
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<em>Additional comment</em>
This is different than the minimum cost <em>per item</em>. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.
Answer:
Step-by-step explanation:
The maximum is achieved at vertex of parabola.
The x- coordinate of the vertex is determined by x = - b/(2a).
The maximum height is the corresponding y- coordinate
- y = - 0.5(15²) + 15(15) = 112.5 ft
Answer:
Length of the room is 180 ft
Step-by-step explanation:
We have a rectangular room with dimensions:
width = 70 ft and length "x" (unknown)
Perimeter of a rectangle is 2*w + 2*x and according to problem statement 500 ft of lights will fit exactly in room perimeter then:
2*70 + 2*x = 500
140 + 2*x = 500
2*x = 500 - 140
2*x = 360
x = 360/2
x = 180 ft
Answer:
3.6 hours
Step-by-step explanation:
Blake can do work in hours = 9
Blake can do a part of work in 1 hour = 
Ned can paint the same room in six hours.
Ned can do a part of work in 1 hour = 
They can do a part of work together in 1 hour = 
= 
Now they can do part of work in hour = 1
So, they can do whole work in hours = 
= 
Hence it will take 3.6 hours to paint the room if they work together.
The answer is -1 because it is subtracting by -2
