Question

Please show workings.

Answer 1

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)