Beth needs 1 2/3 cups of sugar to make a cake and 2 1/4 cups to make a pie. how much sugar does she need to make both?

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

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: