Jasmine baked 12 oatmeal cookies and 20 chocolate chip cookies to
package in plastic containers for her
teachers at school. She wants to
divide the cookies into identical
containers so that each container has
the same number of each kind of
cookie. What is the greatest number
of containers she can make? How
many oatmeal cookies and chocolate
chips cookies will be in each
container?

a 10 percent increase

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204