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Find all basic solutions of the following system:Find all extreme points of X and represent x = (0,1) as a convex combination of extreme points.
Draw a graph for the solution of the three inequalities (this does not need to be turned in). Shading will indicate the solution to each inequality.
How fast is the length of the third side increasing when the angle between the sides of fixed length is 60 degrees?
Which of the following is not an integer linear programming problem? a. pure integer b. mixed integer c. 0-1integer d. Continuous
A buoy oscillates in simple harmonic motion y = A cos omega(t) The buoy moves a total of 3.5 feet (vertically) from its low point to its high point.
Linear programming models have decision variables for measuring the level of activity.
Air is being pumped into a spherical balloon so that the radius is increasing at the rate of dr/dt = 3 inches per second.
Water is running out of a conical funnel at the rate of 1 cubic inch per second. If the radius of the top of the funnel is 4 inches.
Let T (theta) be the angle between equal sides of an isosceles triangle and let x be the length of these sides.
Find the length and width of a rectangle that has an area of 64 square feet and a minimum perimeter.
Please sketch a graph of a function f have the indicated characteristics. Please explain.
Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. What is the optimal daily profit?
S represents weekly sales of a product. What can be said of S' and S'' for each of the following?
Formulate a linear program that will give the least cost capacity expansion plan.Consider the polyhedron P
If x = c is a critical number of the function f, then it is also a critical number of the function g(x) = f(x) + k where k is a constant.
Formulate a linear programming model that can be used to determine a minimum-cost staffing plan for PharmaPlus.
Show that there is a point P with x-coordinate 3 at which the line tangent to the curve at P is horizontal. Find the y-coordinate of P.
Formulate a linear programming model that can be used to determine the maximum possible profit contribution for the grower.
If the graph of a function has three x intercepts, then it must have at least two points at which its tangent line is horizontal.
Use a graphing utility to graph f and g in the same window and determine which is increasing at the faster rate for "large" values of x.
Determine the optimal product mix using the Management Scientist software.
Use logarithmic differentiation to find the derivative of the function. Differentiate f and find the domain of f.
Solve the foregoing problem by the simplex method (not the dual -simplex). At each iteration, identify the dual variable values and show which dual constraints
The material for the top and bottom costs 2 cents per square cm and the material for the side costs 1 cent per square cm.