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3.7 Optimization Problems

One of the most common applications of calculus involves the determination of minimum and maximum values. Consider how frequently you hear or read terms such as…. 3.7 Optimization Problems. Greatest Profit. Greatest Strength. Least Cost. Optimum Size. Least Time. Greatest Voltage.

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3.7 Optimization Problems

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  1. One of the most common applications of calculus involves the determination of minimum and maximum values. Consider how frequently you hear or read terms such as… 3.7 Optimization Problems Greatest Profit Greatest Strength Least Cost Optimum Size Least Time Greatest Voltage Least Size Greatest Distance

  2. 3.7 Optimization Problems A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. What dimensions will produce a box with maximum volume? Solution

  3. 3.7 Optimization Problems Diagram

  4. 3.7 Optimization Problems

  5. 3.7 Optimization Problems Work

  6. 3.7 Optimization Problems Diagram

  7. 3.7 Optimization Problems Table

  8. 3.7 Optimization Problems Critical #’s

  9. 3.7 Optimization Problems

  10. 3.7 Optimization Problems

  11. Two posts, one 12 feet high and the other 28 feet high, stand 30 feet apart. They are to be stayed by two wires, attached to a single stake, running from ground level to the top of each post. Where should the stake be placed to use the least wire?

  12. Write y and z in terms of x. 3.7 Optimization Problems

  13. 3.7 Optimization Problems

  14. 3.7 Optimization Problems It could be the proportion from &$##!

  15. 3.7 Optimization Problems Obviously, 320 is a common factor Factorable

  16. 3.7 Optimization Problems

  17. Remember, an extreme value can also occur at the endpoints of an interval. 3.7 Optimization Problems Solution

  18. Remember, an extreme value can also occur at the endpoints of an interval. 3.7 Optimization Problems Put the expression in quadratic form.

  19. You could use all or none of the wire for the square. 3.7 Optimization Problems Diagram

  20. 3.7 Optimization Problems HW 3.7 pp. 210-212/1-25 odd, 35

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