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A plain hamburger requires one ground beef patty and a bun. A cheeseburger requires one ground beef patty, one slice of cheese, and a bun. A double cheeseburger requires two ground beef patties, two slices of cheese, and a bun. Frozen hamburger patties are sold in packs of 12, buns in packs of 8 and cheese slices in packs of 24. A family purchased 13 packs of buns, 11 packs of hamburger patties and 3 packs of cheese slices. How many of each type of sandwiches should the family prepare if they want to maximize the number of beef patties used? Set up a standard maximization problem using the simplex method.
A printed poster is to have a total area of 750 square inches with top and bottom margins of 6 inches and side margins of 2 inches. What should be the dimensions of the poster so that the printed area be as large as possible?
Find the gradient and the intercept of the following linear equation.
two investments were made totaling #15000. for a certain year these investments yielded $1326 in simple intrest. part of the $8800 was invented at 14 and part at 16% find the amount invested at each rate.
At the first tri-city meeting, there are 8 people from town A, 7 people from town B, and 5 people from town C. If a council consisting of 5 people is randomly selected, find the probability that 2 are from town A and 3 are from town B.
Describe and give examples of the three methods for solving a system of equations.
Is a directed graph weakly connected if there is a path from a to b and from b to a whenever a and b are vertices in the graph?
Among completed surveys how many different responses to this survey were possible?
If voters can choose to leave any item blank, how many different ballots are possible?
A drop of oil measuring 0.12 cubic centimeters is spilled onto a lake. The oil spreads out into a circular shape having a diameter of 23 centimeters. Approximate the thickness of the oil film.
A rectangular garden is going to be fenced in as shown below to enclose 112ft squared. if the outside fence costs $3 per foot and the interior costs $1 per foot, what are the dimensions that minimize cost.
Use a triple integral to find the volume of the given solids. The tetrahedron bounded by the coordinate planes and the plane
A projectile is launched upward with a velocity of 96 feet per second from the top of a 90 foot stage. What is the max height attained by the projectile?
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