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A farmer buys two varieties of animal feed. Type A contains ounces of oats and ounces of corn per pound. Type B contains ounces of oats and ounces of corn per pound. The farmer wants to combine the two feeds so that the resulting mixture has at least pounds of oats and at least pounds of corn. The farmer wants to buy not more than pounds of Type A feed and not more than pounds of Type B feed. Type A feed costs him cents per pound, and Type B feed costs him cents per pound. How many pounds of each type should the farmer buy to minimize the cost?
nsists of a cylindrical main section and a hemispherical roof. If the total volume of the silo (including the part inside the roof section) is 16,000 ft3 and the cylindrical part is 30 ft tall, what is the radius of the silo?
The logistic growth function f(t)=400/1+9.0e^-0.22t describes the population of a species of butterflies t months after they are introduced to a non-threatening habitat. How many butterflies are expected in the habitat after 12 months?
A plane is heading due south with an airspeed of 294 mph. A wind from a direction 51 degree is blowing at 8 mph. Find the bearing of the plane.
Two balls are randomly chosen from an urn containing 8 white, 4 black, and two orange balls. Suppose that we win PHP 2.00 for each black ball selected and we lose PHP 1.00 for each white ball selected. Let X denotes our winnings. What are the poss..
What is the probability that the x-coordinate of the selected point is less than the y-coordinate?
to convey the addition of S(sub1) and S(sub2) in this way. Is T(sub1) an arithmetic or geometric sequence
Find the lateral area of a triangular prism with base edges of 5cm, 12cm, and 13 cm. The height of the prism is 14cm.
find the volume of the solid lying under the elliptic paraboloid x^2/4+y^2/9+z=1 and above the rectangle R = [-1,1]x[-2,2]
Explain how we arrive at the formula for Simpson's rule (standard formula) using the Lagrange Interpolating Polynomial of degree 2. Ignore the error term, and do not compute any integral.
When using the substitution method, how can you tell if a system of linear equations has no solution?
Prove that any two universal (initial) objects in a category C are equivalent. Prove that any two couniversal (terminal) objects in a category C are equivalent.
When solving rational equations, you must check your solutions to make sure you are not including extraneous solutions that are not actual solutions to the original equations.
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