Venetta Coulbourne: You need to make a table from your data. All you need is three columns.1. # of bikes rented2. Rates ($)3. Revenues ($)Note: Remember that each $1 increase in the rate means 4 fewer rented bikes.#bikes------Rate($)-----Revenue($)120______ 12_______ 1440116______ 13_______ 1508112______ 14_______ 1568108______ 15_______ 1620104______ 16_______ 1664100______ 17_______ 170096_______ 18_______ 172892_______ 19_______ 174888_______ 20_______ 176084_______ 21_______ 176480_______ 22_______ 176076_______ 23_______ 174872_______ 24_______ 172868_______ 25_______ 170064_______ 26_______ 166460_______ 27_______ 162056_______ 28_______ 156852_______ 29_______ 150848_______ 30_______ 1440etc.......Once you set up a table you can look directly at it to get the answers. $21 dollars is the rate for max. revenues and $1764 per day is the max. revenue. Also, you can graph x vs. y. Where x = rate and y = revenues.This will show a parabola (polynomial function of second o! rder y = ax² + bx + c). With the following equation.y = -4x² + 168x - 1E-11Note: the last term is very insignificant so you can rewrite the equation as:y = -4x² + 168xThe equation to find the vertex (max. point in this case) is as follow:x = -b/(2a) = -168/(2*-4) = 21Then to find y y = -4*(21)² + 168*(21) = 1764Hope this help....Show more
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