1. We wish to construct a pipepline 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 $15 per mile, from A to B are $28 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 costs? Compare with the distance from P to Q?
2) Repeat problem 1 but the construction costs from P to A are $15 per mile, from A to B are $28 per mile and from B to Q are $40 per mile
