38. XYZ Company, dealing with a newly invented telephone device, is faced with the problem of selecting

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38. XYZ Company, dealing with a newly invented telephone device, is faced with the problem of selecting out of the following courses of action available:

(i) manufacture the device itself; or

(ii) be paid on a royalty basis by another manufacturer; or

(iii) sell the rights for its invention for a lump sum.

The profit (in Rs' 000s) which can be expected in each case and the probabilities associated with the level of sales are shown in the following table:

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Represent the company's problem in the form of a decision tree. Redraw further the decision tree by introducing the following additional information:
1. If it manufactures itself and sales are medium or high, then company has the opportunity of developing a new version of its telephone.
2. From the past experience, the company estimates that there is a 50 per cent chance of successful development.
3. The cost of development is 15 and returns after deduction of development cost are 30 and 10 for high and medium sales, respectively.

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