A market survey was carried out to determine the acceptability of different brands of table water produced by Hygienic Nigeria Limited. An analysis of responses from 200 people yielded the following result: 55 prefer brand A, 45 prefer brand B, 50 prefer brand C, 80 prefer brand A or brand B, 90 prefer brand A or C, 85 prefer brand B or C while 5 people prefer all the three brands. The company is willing to develop a new brand D provided the ratio of the present brand to the total responses is less than half of the sampled population.
You are required to
Draw the Euler-Venn diagram to represent the given information.
b. Determine the total number of people that prefer the present brands A, B and C.
c. Advise (with reason) the company whether it should embark upon the development of the new brand D.
