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An equipment consists of three sub-systems as shown in g 1. The reliability of each sub- system is shown in the Block and the cost

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An equipment consists of three sub-systems as shown in g 1. The reliability of each sub- system is shown in the Block and the cost for each sub-system is as also shown in the Block. Determine the reliability of the equipment aer 5 years of operation. Figure 1 Reliability Block Diagram of the Equipment If the equipment fails in the eld, the manufacturer needs to replace it and also to pay for the penalty. The total charge (c) the manufacturer needs to pay is given by the following equation, depending on the number of year the equipment is in operation c=5000fqi(yr) What is the minimum price of the equipment should be in order to get break-even, assuming that the life-cycle of the product is 10 years ? (Hint: In your calculation, you will need to compute the lower incomplete gamma lnction given as y(a,x)=J-I\"'le"dt. The {I computation result of the incomplete gamma tnction can be found in

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