Patrick recognizes that customers will not likely pay more than $5.00 per game to bowl at his alley. If Patrick charges this amount, how many years will it take him to turn a profit

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

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