Question

On Wednesday evenings in October 2021, each episode of The Masked Singer was typically watched by 4.6 million viewers, while each episode of The Conners was typically watched by 3.6 million viewers.† Your marketing services firm has been hired to promote Gauss Jordan sneakers by buying at least 40 commercial spots during episodes of The Masked Singer and The Conners. You have been quoted a price of $400,000 per spot for The Masked Singer and $100,000 per spot for The Conners. Gauss Jordan, Inc.'s advertising budget for TV commercials is $39,000,000, and it would like at least 75% of the total number of spots to appear on The Masked Singer. How many spots should you purchase on each show to maximize exposure? HINT [Calculate exposure as Number of ads ✕ Number of viewers.] (If an answer does not exist, enter DNE.)

The Masked Singer=
The Conners=

Answer 1

To maximize exposure, solve the system of equations to find the number of spots to purchase on each show.

To maximize exposure, you need to determine the number of spots to purchase on each show. Let's call the number of spots on The Masked Singer 'x' and the number of spots on The Conners 'y'.

Given that the total budget for TV commercials is $39,000,000, the cost of each spot on The Masked Singer is $400,000, and the cost of each spot on The Conners is $100,000, we can set up the following equations:

x + y = total number of spots (at least 40)

400,000x + 100,000y = advertising budget ($39,000,000)

The goal is to maximize exposure, which is calculated as Number of ads x Number of viewers. We know that 75% of the total number of spots should appear on The Masked Singer.

To solve this problem, we can use the method of substitution or elimination to find the values of x and y that satisfy the given constraints and maximize exposure.