please write big and clear and show work

Instructor: Behnam Tavakkol EXERCISE LINEAR PROGRAMMING APPLICATIONS 1) Win Big Gambling Club promotes gambling junkets to the Bahamas Goal is to reach the largest possible high-potential audience $8,000 per week to spend on advertising. Place at least five radio spots per week No more than $1,800 can be spent on radio advertising each week! Media types and audience figures shown below AUDIENCE REACHED PER AD 5,000 COST PER AD ($) 800 MAXIMUM ADS PER WEEK 8,500 925 MEDIUM TV spot (1 minute) Daily newspaper (full- page ad) Radio spot (30 seconds, prime time) Radio spot (1 minute, afternoon) 2,400 290 2,800 380 Formulate the problem as a linear program and obtain the optimal solution with M