MATH 205 Lecture 20: 4.7 optimization problems
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1 understand the problem the first step is to read the is it fully understood what are problem carefully until the unknowns given quantities and given conditions. 2 draw a diagram and identify the given and required quantities. 3 introduce notations assign a symbol to the quantity that to be maximized or minimized also select symbols for is unknown quantities and label. 4 express the quantity that is to be maximized or minimized in terms of step 3. 5 if function of more given information to equations to eliminate all but one of expression. X to express a as a function of just one variable y by expressing it in terms of. 2400 2x x can be is 1200 the depth and none for. 2400 2 2 this uses all the the width and the largest x fence for can"t be negative so. The derivative of allx is 2400 lex critical numbers we solve.
