7 Answered Questions for the topic Calculus Optimization
Calculus Optimization Calculus
11/12/19
A rectangular solid with a square base has a surface area of 37.5 square centimeters. (Let x represent the length of the sides of the square base and let y represent the height.)
also, (a) Determine the dimensions that yield the maximum volume.
Calculus Optimization
11/06/15
What dimensions will maximize the total area of the pen?
A farmer builds a rectangular grid of pens with 1 row and 7 columns using 400 feet of fencing. What dimensions will maximize the total area of the pen?
The total width of each row of the pens...
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Calculus Optimization
11/06/15
Dimensions of the garden that minimize the cost
A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $60/ft and on the other three sides by a metal fence costing $30/ft. If the area of the garden is...
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Calculus Optimization
11/06/15
Find Dimensions to minimize cost
A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $5 per square foot and the metal for the sides costs $8 per square foot....
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Calculus Optimization
11/06/15
Dimensions
An open box is to be made out of a 8-inch by 18-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box...
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Calculus Optimization
11/06/15
Maximum revenue
The manager of a large apartment complex knows from experience that 110 units will be occupied if the rent is 420 dollars per month. A market survey suggests that, on the average, one additional...
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Calculus Optimization
11/04/15
CALCULUS OPTIMIZATION
A steel company, ABC steel, manufactures nuts and bolts. When x nuts are produced, they can be sold for −3x + 500 dollars each. When y bolts are produced, they can be sold for −y + 300 dollars...
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