Answer:
- 18 Type A bags
- 24 Type B bags
Step-by-step explanation:
The graph shows the constraints and the boundaries of the feasible region. The maximum profit will be had with the manufacture of 18 Type A bags and 24 Type B bags.
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The inequality describing the constraint on cutter hours is ...
2a +3b ≤ 108
The inequality describing the constraint on finisher hours is ...
3a +1b ≤ 78
The boundary lines of the solution regions of these inequalities intersect at ...
(a, b) = (18, 24)
The profit function is such that it doesn't pay to make all of one type or the other bags. The most profit is had for the mix ...
18 Type A bags; 24 Type B bags.
On the graph, the line representing the profit function will be as far as possible from the origin at the point of maximum profit.
Answer:
yep
Step-by-step explanation:
Answer:
No 4,800
Step-by-step explanation:
Answer:
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Step-by-step explanation:
<em>General form of a sinusoidal function: y = A cos(Bt - C) + D
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<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
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<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
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2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
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C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
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D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
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Your final function will be:</em>
<u><em>y = -190 cos(π t / 120) + 195</em></u>
