Suppose you are told that for a given number, the sum of twice the square of that number and the square of its reciprocal is a minimum. What is that number?

Q: Find the minimum value of f(x,..)= x + 64, + x, subject to the following constraints. Write the…

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Q: Suppose that you are the power company and must provide power to a lighthouse on a rock one mile off…

A: Given- The nearest pole to run the line from is 2 miles up the shore from the line straight out to…

Q: In your own words, describe the guidelines for solving applied minimum and maximum problems.

A: We have to describe the guidelines for solving applied minimum and maximum problems.

Q: c) Suppose the government wants to limit the amount of Good X that is purchased, so they enact a…

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Q: The sum of one positive number and the square of another is equal to 9. Determine the numbers so…

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Q: The sum of a one number and the square of a second number is 48. Find the pair of positive numbers…

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Q: Suppose the production function for an airframe is Q = LK (Quantity = labor x capital) The price of…

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Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

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Q: Suppose the premium for policy A is reduced to ​$25. Now how many units should be purchased from…

A: Now the premium for policy A is reduced to $25. For this price we will find no of units purchased.

Q: Suppose a company has fixed costs of $300 and variable cost per unit of 2x +1460 dollars, where x is…

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Q: 19. A small car rental agency can rent every one of its 70 cars for $27 per day. For each $1…

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Q: 2. The sum of perimeters of an equilateral triangle and a square is 10. Find the dimensions of the…

A: Recall: In equilateral triangle, all three angles are always 60°.