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National Business Machines manufactures x model A fax machines and y model B fax machines. Each model A cost $110 to make, and each model B costs $140. The profits are $30 for each model A and $39 for each model B fax machine. If the total number of fax machines demanded per month does not exceed 3100 and the company has earmarked not more than $374,000/month for manufacturing costs, how many units of each model should National make each month in order to maximize its monthly profits P?
Evaluate the Area enclosed by the first quadrant and the circle using integration
For the pairs of lines defined by the following equations indicate with an "I" if they are identical, a "P" if they are distinct but parallel, an "N" (for "normal") if they are perpendicular, and a "G" (for "general") if they are neither parallel ..
linear word problem: In a week, the first car gets an average of 20 mpg, the second gets 25 mpg; the two cars combined drive a total of 1175 miles in that week, for a total gas consumption of 50 gallons.
Jill's father bought Jill a car with the understanding that she would pay the car off in four years by making equal monthly installments. The car cost her father $5000 plus 9% sales tax. How much are the monthly payments Jill must make to her fath..
Prove that if f is a differentiable function with f´(x) > 1 for all x, then there is at most one c such that f(c) = c. [Use the Mean Value Theorem]
Combining the information above, find the probability that the xth opportunity is a close call (that it occurs immediately before the nth shock).
At a selling price of $ 65 , a lamp company breaks even on total sales of $ 4550 . If the company's overhead is $ 420 , find the marginal production cost per lamp and find the profit on sales of 154 lamps.
A square has a 40-cm diagonal. How long is each side of the square? Round your answer to the nearest tenth of a centimeter.
Find the center of mass of a thin plate of constant density d covering the "triangular" region in the first quadrant between the circle x^2+y^2=12.25 and the lines x=3.5 and y=3.5.
If the perimeter of an equilateral triangle is 153 feet, what is the measure of one side of the triangle? Show work.
Compare the advantages and disadvantages of substitution and elimination methods with the matrix method to solve systems of linear equations and the relationship these have with matrix method solving.
Bob draws a red pen and DOES NOT put it back before drawing a 2nd time. What is the probability of drawing a red pen on the SECOND drawing?
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