Question 1153502
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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The point to start is <U>THIS</U> :



<pre>
The cost function    is  C(Q) = {{{60*Q + 300}}}      (given !)


The revenue function is  R(Q) = {{{100*Q - 0.5Q^2}}}  (given !)


The profit function is the difference  


    P(Q) = R(Q) - C(Q) = {{{100*Q-0.5Q^2}}} - {{{(60*Q+300)}}} = {{{-0.5*Q^2 + 40*Q - 300}}}.


Again, the profit is this quadratic function of Q


    P(Q) = {{{-0.5*Q^2 + 40*Q - 300}}}.


Now, for the break even-point the equation is  P(Q) = 0  (saying "NO PROFIT"), or


    {{{-0.5*Q^2 + 40*Q - 300}}} = 0.


Thus I setup the basic equation for you.


Now, to answer the first question, you should solve this equation and find its roots.
</pre>

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At this point I want to STOP, since you asked to show you how to start.


My post explains it . . . 



If you still have questions, do not hesitate ask them.


You may report to the forum about your progress, if you want.



Boldly move forward (!)