What is the value of c?

The cost for each medium with its audience coverage is given below. Television Newspaper Radio Cost per advertisement ($) 2400 1000 100 Audience 129,000 45,000 10,000 per advertisement The company is capable of using a number of newspaper advertisement slots up to 14. Moreover, in order to balance the advertising among the three types of media, the total number of advertisements on radio should not occur more than 40% of total number of advertisement. and at least 9% of the total number of advertisements should occur on television. The weekly advertising budget is $21400. How many advertisements should be run in each of the three types of media to maximize the total audience? If we assume the number of ads on each type of meduim as follows : T , N, R respectively Given the following objective function Max: Z = aT + bN + CR