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A toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4 ounces of foam and 20 minutes of labor and brings in a profit of $2.50. The football uses 3 ounces of foam and 30 minutes of labor and brings a profit of $2. The manufacturer has 48 pounds of foam and 120 labor- hours a week. Use the simplex method to determine the optimal production schedule so as to maximize profits. Show that the geometric method gives the same solution.
To prove that the minimal spanning tree in graph is unique and Decide whether you think the claim is true or false and give a proof of either the claim or its negation.
Use the rational root theorem to list all possible rational roots of the polynomial equation. (Enter your answers as a comma-separated list.)
Let F be a forest. Add a vertex x to F and join x to each vertex of odd degree in F. Prove that the graph obtained in this way is randomly Eulerian from x
How many rectangles are there in a line of fifteen squares where sides are lined up with the adjacent sides touching the entire length of the side?
A bullet of mass 0.04 kg travelling at 300 m/s hits a fixed wooden block and penetrates a distance of 4cm. Find the average resistance of the wood.
puss had been called in to Monrovia to get rid of the rats. puss had been told that he could bring as many of his friend as he wished to help him. after a year every cat had killed an equal number of rats;the total was 1,111,111 rats. how many cat..
Among U.S. cities with a population of more than 250,000 the mean one-way commute to work is 24.3 minutes. The longest one-way travel time is New York City, where the mean time is 37.9 minutes.
What is the difference between the critical-value method and the p-value method of hypothesis testing?
a rectanlgar playground is to be fenced off and divided into 2 by another fence parallel to one side of the playground. 480 feet of fencing is used. find the deminisons of the playground that maximizes the total enclosed area. what is the maximum ..
The impact of mathematics on daily social activities with specific examples of how the mathematical developments affected society.
Using M-method solve the above LP. Does the problem has alternative optimal solution? If so, find all the alternative optimal solutions.
cassandra bought an antique dresser for $500. if the value of her increases 6^ annually, what will be the value of cassandra's dresser at the end of 3 years to the nearest dollars?
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