Acase a 24 pairs of same king of sports shoes cost a little more than $800. explain whether $28 per pair is a good estimate of the price?

Total number of pairs = 24 pairs.

Total cost of 24 pairs = $800 approximately.

Cost of each pair =

Plugging values in the above formula, we get

Cost of each pair =

If we divide 800 by 24, we get 33.33 approximately.

But in the given problem, estimated cost is given $28 per pair.

If we subtract 33.33-28, we get $5.33.

So, the estimated cost is $5.33 each pair less than the actual cost of each pair.

Therefore, $28 per pair is not a good estimate of the price.

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