4.5_Optimization_summer_with_space

# 4.5_Optimization_summer_with_space - 4.4 Continued 1 Find...

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4.4 Continued 1. Find the absolute max and absolute min of f(x) = 3x 4 - 4 x 3 +4 on [-1,5] 2. If f(x) = x/ (x 2 + 4) on [-1,4], Then f’(x) = - (x-2)(x+2)/( x 2 + 4) 2 . Find the absolute maximum Find the absolute minimum 3. Find the absolute max and absolute min of f(x) = 7x 2 + 7 x – 5 4. A watch company is marketing a new high-end watch. The demand function is given by p= 360 – (1/3)x 2 for 0< x< 20 Where p is the price in dollars and x is the number of units sold at price p. The cost function for producing x units per day is C(x) = 100 + 216x. Therefore, the profit function is P(x) = 144x – (1/3)x 3 – 100.

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How many watches should be produced each day to maximize profit? 4.5 Guidelines for Solving Optimization Problems 1. Assign a letter to each variable mentioned in the problem. If appropriate, draw and label a figure. 2. Find an expression for the quantity to be optimized 3. Use the conditions given in the problem to write the quantity to be optimized as a
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4.5_Optimization_summer_with_space - 4.4 Continued 1 Find...

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