Optimization Problems Worksheet

• Calculus Optimization Problems Worksheet
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• Optimization Problems Worksheet With Answers Key
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Optimization Problems Worksheet

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Free Optimization Problems Worksheet Download Free Optimization

Determine the dimensions of the box that will maximize the enclosed volume Solution We want to build a box whose base length is 6 times the base width and the box will enclose 20 in 3 The cost of the material of the sides is 3 in 2 and the cost of the top and bottom is 15 in 2 Determine the dimensions of the box that will minimize the cost Setting the top equal to 0, 812 ˇ r 4 + 2ˇr2 = 0 812 ˇr4 2ˇ2r6 ˇr4 and so, 812 + 2ˇ2r6 = 0 r= 6 r 38 2ˇ2 h= 81 ˇ(6q 38 2ˇ2) 2 = 34 ˇ(4q 38 2ˇ2) 34 32 p ˇ p 4 2 = 32 4 p 2 p ˇ Note that no unde ned values for the derivative are acceptable since they give l= 0 and r= 0 respectively.

Lesson 22 Optimization Problems worksheet Solutions

Optimization Problems WorksheetOptimization Problems Practice Solve each optimization problem. 1) A company has started selling a new type of smartphone at the price of $ 110 − 0.05 x where x is the number of smartphones manufactured per day. The parts for each smartphone cost $ 50 and the labor and overhead for running the plant cost $ 6000 per day. How many smartphones CALCULUS WORKSHEET ON OPTIMIZATION Work the following on notebook paper Write a function for each problem and justify your answers Give all decimal answers correct to three decimal places 1 Find two positive numbers such that their product is 192 and the sum of the first plus three times the second is a minimum 2 Find two positive

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