<p>So my teacher our class some lengthy word problems for fun (and possible extra credit), and I cannot figure this one out. Can anyone figure it out or at least get me on the right track? People do fun calc problems on here occaisonally, so this is my contribution.</p>
<p>The scenario is as follows:</p>
<p>"I have decided to open a vegetable farming business, but since my usual business consultants, O. Taylor and H. Crump, have eloped, I need new advisors. Your enterprising and resourceful professor referred me to you. </p>
<p>I am going to knock out the bottom of the entire length of the south wall of my trailer and turn it into a greenhouse by replacing some of the bottom portion of the wall by a huge sloped piece of glass, which is quite expensive. I have already decided how much I will spend on the glass, and I can make the triangular ends of the greenhouse from various old automobiles I have lying around the front yard. </p>
<p>The floor space of the greenhouse is only usable if both my dog, Shep, and I can stand up in it, so some of the floor space will be unusable, but I don't know how much. That will depend, of course, on how I configure the greenhouse. I would like to choose the dimensions of the greenhouse to get the most usable floor space in it, but I have no idea what the dimensions should be or how much usable space I will get. </p>
<p>Since you are calculus students, I have every faith in your abilities to give me proper advice. I would appreciate an answer by February 27, since the okra seedlings will begin arriving the next week. </p>
<p>Yours sincerely,
E.T. Bass "</p>
<p>I'm interested to see how to approach this. It has to be done using the knowledge from our current learning. We just finished extreme points chapter. Another problem had to deal with Riemann sums and we havent even talked about those! Hopefully the method to solving is not more advanced than the material covered in our class!</p>