A firm's total revenues depend on the amount produced (q) according to the function R=240 q-q^(2) Total costs also depend on q:C=q^(2)+60 q+120 a) What level of output should the firm produce in order to maximize profits? What will profits be? b) Show that the second order conditions for a maximum are satisfied at the output level found in part b)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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A firm's total revenues depend on the amount produced (q) according to the function R=240 q-q^(2) Total costs also depend on q:C=q^(2)+60 q+120 a) What level of output should the firm produce in order to maximize profits? What will profits be? b) Show that the second order conditions for a maximum are satisfied at the output level found in part b)

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