# Pipeline

1. We wish to construct a pipeline from point P to point Q in the diagram below. We must select the points A and B for the pipeline. Construction costs for the pipeline from P to A are $16 per mile, from A to B are $24 per mile and from B to Q are $10 per mile.

a) Select points A and B so the construction costs are a minimum.

b) What is the minimum cost?

c) How long is the pipeline of minimum cost? Compare with the distance from P to Q.

2. Repeat problem 1 but the construction costs from P to A are $16 per mile, from A to B areĀ $24 per mile and from B to Q are $40 per mile.

a) Select points A and B so the construction costs are a minimum.

b) What is the minimum cost?

c) How long is the pipeline of minimum cost? Compare with the distance from P to Q.

2. Repeat problem 1 but the construction costs from P to A are $16 per mile, from A to B areĀ $24 per mile and from B to Q are $40 per mile.

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