Two metal strips, X and Y are length of 84 cm and 126 cm respectively. They are cut into smaller strips of equal length without any left over. Calculate the longest length for each smaller strip so that there is no left over from strips X and Y.

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

hd extra 3-7 x d en is the answer