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National Business Machines manufactures two models of fax machines: A and B. Each model A costs $114 to make, and each model B costs $200. The profits are $23 for each model A and $34 for each model B fax machine. The total number of fax machines demanded per month does not exceed 2100 and the company has earmarked no more than $490,000/month for manufacturing costs. How many units of each model should National make each month in order to maximize its monthly profits? What is the optimal profit?
The purchasing power of a dollar is decreasing at the rate of 7.3% annually, compounded continuously. How long will it take for the purchasing power of $1.00 to be worth $0.42? Round answers to the nearest hundredth.
A plane is heading due south with an air speed of 288 mph. A wind from a direction of 58° is blowing at 20 mph. Find the bearing of the plane.
You have to perform a reliability analysis of the downtime data.
Calculate the per capita cost per police officer. Explain why increased population can result in increased per capita taxes, even though the per-capita cost per police officer declines with population.
Find the distance between the silo and tree from the given data - What is the distance between the silo and the tree, correct to the nearest meter?
Determine the population proportion
Please sketch a graph of a function f have the indicated characteristics. Please explain.
Compare and contrast permutations and distinguishable permutations. Provide a formula for each and state the fundamental counting principle and explain it in your own words.
V3(R) represents the set of vectors in 3D space. What kind of geometrical objects are represented by the various subspaces of V3(R)?
A sample originally has a mass of 800 mg. Find a formula for the mass remaining after t days.
Assume the readings on a thermometers are normally distrubuted with a mean of 0 degree C and a standard deviation of 1.00 degree Celsius. Find the proabilitys that a randomly selected thermometer read leass than 1.43.
Find the vertical asymptote and x-intercept for a given function - State the placement of the vertical asymptote and x-intercept after the transformation.
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