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2 answers:
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9514 1404 393
Answer:
a) x≥5; y≥10; x+y≤30; 3x+y≤54
b) see attached
c) i. 14 buses; ii. 25 minibuses
Step-by-step explanation:
a. The given restrictions are ...
x ≥ 5 . . . . . . . . . minimum number of buses
y ≥ 10 . . . . . . . . minimum number of minibuses
x + y ≤ 30 . . . . .maximum number of vehicles
3x +y ≤ 54 . . . . maximum number of parking units
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b. In the attached, we have chosen to make the solution space white. The boundaries are dashed where they are included in the solution space. The vertices of the solution space are marked on the graph.
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c. The second attachment shows the maximum numbers of each.
i. maximum buses: 14 (and 12 minibuses)
ii. maximum minibuses: 25 (and 5 buses)
The picture show the answer and steps. x equals 5
Answer:
Step-by-step explanation:
x is the center of the circle.
the chord of length 12 can be splitted into two parts of 6 length each.
since the radius does not change when it touches another end of the circle, we can safely calculate our radius to be the hypotenuse of the triangle formed by the length of the chord and 3.
The explanation is given in the picture
