Question 1158572
*[invoke complete_the_square -5,19,-12] <br/> a) They must sell 3,000 or 800 pairs of shorts to break even. <br/> b) To be profitable, the expression {{{-5(x-1.9)^2}}} must be greater than -6.05. {{{-5(x-1.9)^2>-6.05}}}. {{{5(x-1.9)^2<6.05}}}. {{{(x-1.9)^2<1.21}}}. {{{-1.1<x-1.9<1.1}}}. {{{0.8<x<3}}}. They must sell a number of pants between 800 and 3,000 to be profitable. <br/> c) To maximize profit, the expression {{{-5(x-1.9)^2+6.05}}} need to be at its maximum. The square of any real number is nonnegative. the expression is maximized when {{{-5(x-1.9)^2}}} is 0. This occurs when x=1.9. They must make 1,900 pairs of pants to maximize profit.