During a pandemic, a local public health official wants to run public awareness campaigns on TV and radio about the importance of wearing a face mask and proper hand washing. For each minute that the campaign runs on a local TV channel, she expects to reach about 350 viewers, and for each minute of radio campaigns, she expects to reach about 200 local listeners. A local TV channel charges $150 per minute for public service announcements, and a radio channel charges $85 per minute for similar public announcements. Her goal is to reach at least 18,900 constituents each month.

Her part-time assistant can commit up to 120 hours each month to assist her on the TV and radio campaigns. For each minute of the TV campaigns, her assistant needs to spend about 2 hours on administrative support. For each minute spent on the radio campaigns, the assistant needs to spend about 1.5 hours. The awareness campaign expense will be covered in her monthly budget, which is also used for other, on-going expenses such as printing brochures and press releases. In order to accommodate these other expenses, she needs to minimize her spending on TV and radio campaigns, while meeting her outreach goal. 

Formulate this problem as an LP model. How many minutes of TV and radio campaigns should the health official purchase?

Note: Round your answers to 2 decimal places.

Answer rating: 100% (QA)

To formulate this problem as an LP Linear Programming model we need to define decision variables for... View the full answer