Linear Programming Project
You are the new owner of a music shop in Greenwood. The previous owner
fled the city to join the circus as a magician. Your first duty as new owner
and store manager is to create an advertising plan based on the budget
available. You must figure out how many magazines and TV ads to
purchase.
TV ads cost $600 per airing.
Magazine ads cost $1200 per issue.
Your total advertising budget is $9,000.
1. If we let x = TV ads and y = magazine ads, write an inequality for our
advertising budget.
500 x + 1200y <= 9000
2. Due to space limitations, the magazine publishers tell us that we are only
allowed to purchase up to 6 magazine ads. Write an inequality for this
constraint. y<= 6
3. The television station called to say that we are only allowed to purchase
up to 7 TV ads. Write an inequality for this constraint.
X<=7
4. It is impossible to buy a negative number of TV ads. Write an inequality
for this constraint.
-1
-5. It is impossible to buy a negative number of magazine ads. Write an
inequality for this constraint.
-1
Use the points (1, 150) and (6, 900) to estimate the line of best fit.
1. Find the slope of the line.
2. Write the equation of the line
3. What does the slope tell you about how each TV ad affects sale
For every TV ad, CD sales increased by about
Use the points (1, 100) and (8, 800) to estimate the line of best fit.
1. Find the slope of the line.
2. Write the equation of the line.
3. What does the slope tell you about how each magazine ad affer
sales?
CD sales increased by about...?
