d.) yes, because the volume of the cone is greater than the volume of the sphere
option (b) is correct
to find the solution of this system, we need to convert it into reduced row-echelon form. we have,
after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,
we are told that the revenue is
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