A theater has 384 seats. Each row has 16 seats. The area model represents this situation. Area model showing 2 areas. The first is16 high and 20 wide, with a total of 320. The second is 16 high and x wide, with a total of 64.

Part A
What is the value of x in the area model? Enter your answer in the box.
x =

the perimeter is increased by a factor of 2

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

m=-16

step-by-step explanation: