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Maximize the objective function 2x + 3y subject to the constraints that x + twice y is at most 6; and the sum of 5 times x and 3 times y is at most 15; with both decision variables non-negative.
Find the optimal solution using linear programming and the graphical solution procedure. What is the value of the objective function at the optimal solution?
Write an inequality to represent the number of 15-minute appointments x and the number of half-hour appointments y the doctor may have in a week.
The owner of the Rancho Grande has 2972 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions of the largest area..
Let f: [a,b] ----> R and suppose f is integrable with respect to alpha. Prove that for any c in the real numbers, cf is integrable with respect to alpha and the integral from a to b of cf d(alpha) = c times integral from a to b of f d(alpha).
application of the normal distribution let x denote the time taken to runner a road race. suppose x is approximately normally distributed with a mean of 195 minutes and a standard deviation of 21 minutes. if one runner is selected at random what i..
Use the fact that the sum, difference, and product of any two integers in an integer.
A ship travels 98 kilometers on a bearing of 38 degrees and then turns on a bearing of 128 degrees for 169 kilometers. Find the distance of the end trip from the starting point.
A farmer wants to set aside a rectangular plot of land to contain 580 square meters. If the width is 19 less than the length, find the dimensions of the plot.
Shawn Bixby borrowed $18,200 on a 132-day, 13% note. After 75 days, Shawn paid $3,200 on the note. On day 107, Shawn paid an additional $5,200. Use ordinary interest.
Explain how you would use probability, statistics and geometry in the computer forensics field, give one example of each to illustrate the concept.
Write a function for your profits for each price you charge. This is done by multiplying (P-.5) times your function (y= -100x + 250). I.e. if your function is Cups Sold = 1000 - 100P, your profit function would be (P - .5)*(1000 - 100P).
From the concepts in the readings from Week Three, provide at least one real-world application of algebraic concepts as they would apply to one of the following areas: business, health and wellness, science, geometry or other math concepts, sports..
Explain the characteristics of integer programming problems. Give specific instances in which you would use an integer programming model rather than an LP model. Provide real-world examples.
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