A rectangular prism has a height of 5 yd and a square base with a side length of 8 yd. What is the surface area of the prism? A
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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)
