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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 number of days they spent in New York was the same as the total number of days they spent in Boston and Washington, and the couple spent 3 times as many days in New York as they did in Philadelphia. How many days did Joan and Dick stay in each..
In a rooted binary tree with 16 vertices, there must be a path of length 4. No tree has a Hamilton path.
A pilot, attempting to fly from Middletown to Westburg, a distance of 200 miles, notices after flying 180 miles that West burg is still 35 miles away because the heading was off by a few degrees.
A square support unit in a television is made with a side measuring 5 centimeters. A new model being designed for the upcoming year will have a larger square with a side measuring 5.2 centimeters. By how much will the area of the square be increas..
Question about Elliptic boundary value problem, Uxx means second derivative with respect to x, Uyy means second derivative with respect to y
Provide Description of Card Probability. What is the probability that exactly one suit is represented among these 8 cards? Exactly 2 suits?
Show that the positive integers less than 11, except 1 and 10, can be split into pairs of integers such that each pair consists of integers that are inverses of each other modulo 11.
Could you show me the easiest steps needed to prove the theorem of the Triangular inequaity for II . IIp (also called Minkowsky inequality) for L^p spaces.
A particle moves along the graph of the function y=8/3x^3/2 (the 3/2 is the exponent on the x) at the constant rate of 2 units per seconds.
Four positive numbers, each less than 80, are rounded to the first decimal place and then multiplied together. Use differentials to estimate the maximum possible error in the computed product that might result from the rounding.
Use the washer method to find the volume of the solid of revolution formed by revolving the region bounded by f (x)= 3x^2 and g (x)=2x+1 about the x-axis.
A uniform boom AC, 4m long and weighing 50 N is smoothly hinged at C and is supported at A by a rope AB. Find the tension in the rope and the size and direction of the reaction at C.
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