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A group of executives have to allocate investment funds between six possible product lines. Their objectives are: (i) to maximize the growth of the company, (ii) to maximize export earnings, (iii) to maximize profit and (iv) to minimize risk. After much debate the group decide to assign the following acrosscriteria weights: Growth, 100; Exports, 10; Profit, 80; Risk, 20. Discuss how these weights could have been derived and explain what they mean.

Q76.

Three machines, A, B and C, operate independently in a factory. Machine A is out of action for 10% of the time, while B is out of action for 5% of the time and C for 20% of the time. A rush order has to be commenced at midday tomorrow. What is the probability that at this time:

(a) All three machines will be out of action?

(b) None of the machines will be out of action?

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