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A toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4 ounces of foam and 20 minutes of labor and brings in a profit of $2.50. The football uses 3 ounces of foam and 30 minutes of labor and brings a profit of $2. The manufacturer has 48 pounds of foam and 120 labor- hours a week. Use the simplex method to determine the optimal production schedule so as to maximize profits. Show that the geometric method gives the same solution.
Two angles are complementary of each other. Twice one angle is equal to the other angle plus the product of three and five. Set up a system of linear equations to represent the two angles.
Please respond to the following question: Find the greatest common divisor of the following polynomials over F, the field of rational numbers:
Formulate a nonlinear program representing the profit maximization problem for the bakery. What is the equation associated with the constraint regarding the amount of time available for baking?
Determine the boundary values of the 95 percent confidence band for the regression line when Xh = 28. Is your-confidence band wider at this point than the confidence interval in part (a)? Should it be?
Write the equation of the line in BOTH point-slope and slope-intercept form.
A homeowner wants to enclose a 5,300 square foot rectangular garden by a fence in his backyard. If 3 sides of the fence cost $8.25 per foot and the 4th side costs $11.25 per foot,
Find the tangential and normal components of the position vector p(t) =
The acceleration due to gravity near the surface of Mars is 3.72ms^-2. A rock is thrown straight up from the surface with an initial velocity of 23ms^-2.
what is the volume of the largest rectangular parallelepiped which can be inscribed in the ellipsoid x^2/9 + y^2/16 + z^2/36 = 1?
Manufacturer of mp3 players is preparing to set the price on a new model and demand is thought to depend on the price and is represented by the model
A rational number r = p/q, where p, q are in Z, is said to be properly reduced if p and q (q > 0) have no common integral factor other than +1 or -1. Define the function f as follows;
How fast is the area of the rectangle changing when the width is 10 cm and the height is 15 cm? Is the area decreasing or increasing?
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