Test of robots

We have an automatic line for producing kitchen robots. We want to help by Wald's test to test whether the share of defective robots does not exceed 5% by more than 1%. We can test up to 200 robots at once. The costs of the performed test are 50 Kč on the consumption of electrical energy for each tested robot plus 200 Kč salary of the employee who carries out the test. This salary does not depend on the number of tested robots.
Using simulations, analyse after how many pieces (1-200) to carry out the test, so that the costs of the test are as small as possible with the stipulated probabilities of error alpha=0.01 and beta=0.05, when the price of one robot is 400 Kč and a robot which has been subjected to the test is already unsaleable.

Final Answer:

N =  3

Step-by-step explanation:

$N=3$

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