A right triangle has legs of 24 inches and 32 inches whose sides are changing. The short leg is increasing by 3 in/sec and the long leg is growing at 7 in sec. What is the
rate of change of the area?

15 batches are the most you can make

step-by-step explanation:

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