Is this a valid argument ?Given:if an object is in the dhape of a sphere ,then it rolls. This ball is in the shape of a sphere . Conclusion:this ball rolls

The answer is "yes, it uses the  Law of Detachment as an argument".

Step-by-step explanation:

It is also the method of getting it all in the world in which we give up. It will not imply whether they give up our desire. They may not leave the desire so, we do never give up.

In this, it is committed to the outcome as long as it mixes separate purpose with such a separate result, we shall get whatever we want.In this law, If an element is true, and its hypothesis is true, Symbolically, if p, as well as p and q  both, are true.

The profit is given by the subtraction of revenue and cost. So, the function for the profit is

We want to maximize this function, so let's derive its expression and set it to zero:

For this number of units, the profit equals