Question 195126
a) Correct.


b)


{{{P=-1.2x^2+180x-280}}} Start with the given equation.



{{{P=-1.2(75)^2+180(75)-280}}} Plug in {{{x=75}}}.



{{{P=-1.2(5625)+180(75)-280}}} Square {{{75}}} to get {{{5625}}}.



{{{P=-6750+180(75)-280}}} Multiply {{{-1.2}}} and {{{5625}}} to get {{{-6750}}}.



{{{P=-6750+13500-280}}} Multiply {{{180}}} and {{{75}}} to get {{{13500}}}.



{{{P=6470}}} Combine like terms.



So the max profit is $6,470.