A Political Candidate Wishes to Use a Combination of Radio

A political candidate wishes to use a combination of radio and TV advertisements in her campaign. Research has been shown that each 1-minute spot on TV reaches 0.6 million people and that each 1 -minute spot on radio reaches 0.4 million. The candidate feels she must reach 42 million people, and she must buy at least 54 minutes of advertisements. How many minutes of each medium should be used if TV costs $550 per minute, radio costs $110 per minute, and the candidate wishes to minimize costs? ​

A) Minimum cost is $15,950 using 10 minutes of TV time and 95 minutes of radio time.
B) Minimum cost is $57,750 using 105 minutes of TV time and 0 minutes of radio time.
C) Minimum cost is $57,750 using 0 minutes of TV time and 105 minutes of radio time.
D) Minimum cost is $11,550 using 0 minutes of TV time and 105 minutes of radio time.
E) Minimum cost is $11,550 using 105 minutes of TV time and 0 minutes of radio time.