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suppose for a certain company C(x)=25 x+300,000 represents the total cost function and R(x)=75x represents the total revenue function. Find the total-profit function and break even.
Set up and solve using Management Scientist, Excel Solver, or an online LP solver. What are the values of X and Y at the optimal solution?
Let u = [2,1,1]^T, v = [1,3,2]^T (i.e. they are column vectors). Caclulate v^Tu and uv^T. Show that u is an eigenvector of the matrix uv^T and calculate its eigenvalue.
Prove De Morgan's laws for sets by using set theory arguments
Suppose G is an abelian group of order m. Let m, n be relatively prime. Show that for every element g in G, there exists an element x in G such that x^m=g. Abelian Groups and Relatively Prime Order
By contracting an edge e = uv, we mean removing e and identifying the vertices u and v as a single new vertex. Let num_T(G) denote the number of spanning trees of the graph G.
Find the exact length of the curve defined by y=2[(sqrt(x))^(3)]-1=2x^(3/2)-1 from x=0 to x=2. Set up the integral, use the substitution method( reverse chain rule),
If you have 80 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
The expression 200 - 16t2 models the height in feet of an object that falls from the initial height of 200 feet t seconds after being dropped. Find the height of the object after 1.25 seconds.
Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x)=3x^2 at x=1
A boat can travel 46 mph in still water. If it travels 270 miles with the current in the same length of time it travels 190 miles against the current, what is the speed of the current?
suppose a one-tailed test is being applied to find out if the population mean is less than 212. The level of significance is .01 and 26 accounts are sampled. What is the critical value?
Find the probability that a bag of fertilizer will weigh between 45 and 55 pounds?
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