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Eddie Kelly is running for reelection as mayor of a small town in Alambama. Jessica Martinez, Kelly's campaign manager during this election, is planning the marketing campaign, and this is some stiff competition. Martinez has selected four ways to advertise: television ads, radio ads, billboards, and newspaper ads. These costs of these, the audience reached by each type of ad, and the maximum number of each is shown in the table.
In addition, Martinez has decided that there should be at least six ads on TV or radio or some combination of those two. The amount spent on billboards and newspaper together must not exceed the amount spent on TV ads. While fundraising is still continuing, the monthly budget for advertising has been set at $15,000. How many ads of each type should be placed to maximize the total number of people reached?
a card drawn from a standard deck of playing cards. a)what is probability that it is an ace? b)what is probability tu be a face card.
Find the volume of the solid whose base is the region bounded by y=x^{6}, y=1, and the y-axis and whose cross-sections perpendicular to the y axis are equilateral triangles.
Write an equation to represent the volume of an open box constructed by cutting congruent squares from the corners of a 24" by 14" piece of cardboard.
eighty percent of drivers wear seat belts. If three drivers are pulled over, what is the probability that all would be wearing their seat belts?
The sign "I LOVE MATHEMATICS" is put on the wall of the mathematics building at South Central Carolina Technical College.
What are some similarities and differences between permutations and combinations? Give a real-life example of either a permutation or combination.
What are some of the services provided by the Center for Mathematics Excellence? Which service do you think will be the most useful throughout your college experience?
Prove that there exists only one 4-regular maximal planar graph. Can you explain it step by step? Draw the graph please.
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing w..
The lifetimes of an appliance are normally distributed with a mean of 4.3 years and a standard deviation of .45 years. Describe the distribution of lifetimes for this appliance.
Find the absolute minimum and maximum values of the function f(x,y) = 1+4x-5y on the closed triangular region with the vertices (0,0),(3,0), and (0,3).
Repeat the procedure making a second graph for the third-order rational function (e.g., x3). For each of the two graphs, describe how changes in coefficients and constants change the behavior of the function.
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