Question

You are the new owner of a music shop in Vincennes. The previous owner fled the cityto join the circus as a magician . Your first duty as new owner and store manager is tocreate an advertising plan based on the budget available. You must figure out how manymagazine and TV ads to purchase.TV ads cost $600 per airing.Magazine ads cost $1200 perissue.You total advertising budget is $9,000.1. If we let x = TV ads and y = magazine ads, write an inequality for our advertisingbudget constraint.book bog £9,0002. Due to space limitations, the magazine publishers tell us that we are only allowedto purchase up to 6 magazine ads. Write an inequality for this constraint.3. The television station called to say that we are only allowed to purchase up to 7TV ads. Write an inequality for this constraint.

Answer 1

We just need to express each part as an inequality.

We know that

• TV ads cost $600 per airing.

,

• Magazine ads cost $1200 per issue.

,

• The total advertising budget is $9,000.

,

• x = TV ads and y = magazine ads

An inequality that represents this budget restriction is

`600x+1200y\leq9000`

Additionally, we are only allowed to purchase up to 6 magazine ads. This means

`0\leq y\leq6`

At last, we are only allowed to purchase up to 7 TV ads. This means

`0\leq x\leq7`