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Ryee

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    Desperately Seeking Math Help...

    in Members General

    Posted

    MIN/MAX LINEAR INEQUALITIES?!

     

    Ok but seriously, I'm with you Darcy on your answers for parts 1, 2, and 3. So, just writing those down again,

     

    1) 4x + 3y

    2) 3x + 2y

    3) P(x,y) = 72x + 23y

     

    Now for part 4), if you wanted to graph inequalities 1) and 2) by hand, I'd suggest converting them both into slope-intercept form. Doing so, they'd look like this:

     

    1S-I) y

    2S-I) y

     

    They're not super great looking, but the easiest way to plot a straight line is with two known points. For convenience, I'd pick the X and Y intercepts of these lines. In general, the X intercept is the point on the line where the Y value is 0, and the Y intercept is the point on the line where the X value is 0. So to find the X and Y intercepts of 1S-I) plug 0 in for Y, solve for X (X intercept) and plug 0 in for X, solve for Y (Y intercept). Note that to find an intercept, you don't need the > or

     

    1S-Ixint) 0 = (-4x)/3 + 55/3

    1S-Ixint) -55/3 = (-4x)/3

    1S-Ixint) -55 = -4x

    1S-Ixint) 55 = 4x

    1S-Ixint) x = 55/4 = 13.75

     

    Similarly for the Y intercept of 1S-1:

     

    1S-Iyint) y = (-4*0)/3 + 55/3

    1S-Iyint) y = 55/3 = 18.333333333 (repeating)

     

    Repeat both processes for the 2nd inequality in slope-intercept form.

     

    2S-Ixint) 0 = (-3x)/2 + 39/2

    2S-Ixint) -39/2 = (-3x)/2

    2S-Ixint) -39=-3x

    2S-Ixint) x = 13

     

    2S-Iyint) y = (-3*0)/2 + 39/2

    2S-Iyint) y = 39/2 = 19.5

     

    With all that out of the way, I'd then take these 2 sets of ordered pairs and graph both lines on a sheet of paper. The key points for line 1 (inequality 1) are (13.75, 0) and (0, 18.33333). The key points for line 2 (inequality 2) are (13, 0) and (0, 19.5).

     

    To finish the graph of these inequalities (which is part 4 of this problem), you'll need to draw both lines as described above, and then shade in the correct area to match the = 0 and y >= 0. When you shade "above" these inequalities, you will find that the intersecting region given by all 4 inequalities is the area bounded by the X axis, Y axis, and the area in common underneath the 2 lines. (I'll be happy to try to work up a picture in paint or something if this part isn't clear).

     

    The resulting shaded shape has 4 corners: the Y intercept of inequality 1 - (0, 18.333333), the X intercept of inequality 2 - (13, 0), the origin - (0, 0) and the intersection point of both slanted lines. To find the coordinates of the intersection, take both inequalities 1 and 2, remove the inequality part, and set them equal to each other (outlined below):

     

    4x + 3y = 55 should become 4x + 3y - 55 = 0

    3x + 2y = 39 should become 3x + 2y - 39 = 0

     

    Now that they both = the same number, 0, set them equal and solve for one variable (I'll solve for Y first, but X is fine too)

     

    4x + 3y - 55 = 3x + 2y - 39

    x + y = 16

    y = 16 - x

     

    Now take that solution for Y and plug it into either original equation and solve for X. I'll use 4x + 3y = 55. So,

     

    4x + 3(16 - x) = 55

    4x + 48 - 3x = 55

    x = 7

     

    Now that you know x = 7, plug that back in anywhere to find y. We just said y = 16 - x, so

    y = 16 - 7 = 9

     

    So the ordered pair that is the intersection of the two slanted lines is (7, 9).

     

    So that's it for part 5). Now all you have left for 6) is to plug the 4 sets of ordered pairs you now have into the profit function and find which one gives the biggest number.

     

    The points were: (0, 18.333333), (13, 0), (0, 0), and (7, 9). The profit function was P(x, y) = 72x + 23y

     

    P(0, 18.333333) = 72(0) + 23(18.33333333) = 421.666666

    P(13, 0) = 72(13) + 23(0) = 936

    P(0, 0) = 72(0) + 23(0) = 0

    P(7, 9) = 72(7) + 23(9) = 711

     

    So the ordered pair that gives you the most profit is (13, 0).

     

    Sorry if any of this is unclear. You can call me or w/e if you need anything.

    Roy no longer raiding

    in Members General

    Posted

    Myrevenge,

     

    I'll give you that you've inherited a crap situation to try and lead through. I was only trying to shed some light on the problems we had faced in the past with the hopes that newer leadership could avoid them.

     

    I don't think you can lump everyone who has left FP into a category of "we don't care about FP anymore and don't want to make it work". Some of us (most more than me) really tried to stick it out and see if leadership problems and cliques could be worked through. I can only speak for myself, but eventually enough people stopped playing WoW with any frequency or moved to another guild that FP didn't feel like the guild I loved. I still love all the people I've met through FP and am glad to call nearly all of them real life friends, but for me, greener pastures turned out to be a place where I could be with those people.

     

    Maybe it's wrong of us as former CLs to give up on the FP dream--maybe there was more that could have been done on our end. We smashed our head against Black Temple at the end of TBC, and there were nights when we were at each others throat over different issues (both petty and serious). Things built up, people developed "real lives" or something silly like that, and it was just a combination of progression/personality issues that sent us over the edge. If I could do it over again, I think the best thing that could have happened would have been for the guardians to really play mediator among the CLs and help us get over our personality disputes, but hindsight is 20/20 and what's done is done.

     

    As for the new members thing, I'm not saying we never recruited someone who was friends with another member--of course we did. I just think the way in which applicants were selected, were initiated, and were handled by CLs has changed drastically over time.

     

    And yes I understand I have no leg to stand on in this conversation as I am no longer in FP. I was simply trying to address something I felt a few of the older/no-longer-in-FP forum readers were hinting at. Believe me, I hope you have success where we had drama.

     

    Roy no longer raiding

    in Members General

    Posted · Edited by Ryee

    Man I haven't read a good ol' FP heated discussion thread in ages. I can feel my blood pressure going up! (sarcasm)

     

    But seriously, I think Raroy's initial post (coupled with the screenshot from Demetricus) was the best attempt he could make at a civil exit; he wanted to move on to a new guild but still needed to take a little shot at whatever/whomever he felt wronged him (perceived or real).

     

    If I was going to try and take a stab at what the "cancerous polyp on the colon' of FP is that everyone (in one form or another) has been alluding to is, I'd say it could best be summarized as a falling away from the old ruleset.

     

    When I first joined FP, applications to the guild were taken seriously. You could expect any number of people (always Sauceboss) to come bag on your application, tell you your gear needed improvement, or say in general if you were a jerk or not in game. The system was a bit harsh, but for the most part we managed to pull out quality raiders from that process. And surely you could always count on your CL informing you not to swear in gchat or face someone's wrath -- we used to actually kick people for it.

     

    At some point however, through no real fault of anyone in particular, the rules became a bit more lax and the recruitment process became more of a "you're friends of X and have decent gear, sure you can raid" type situation. In turn this eventually led to some people (myself included) feeling that newer members of FP skipped over what FP "used to be" and were a bit entitled. The distrust and distaste of/for certain new members finally came to a head as TBC closed out, and, in my opinion, it seemed as though the guild (officers included) was divided into clicks. Unfortunately I think too many bridges were burned among the CLs of my time and we didn't / couldn't come to a resolution.

     

    So, if the new leadership wants to take away any lessons from my ramblings, I would say be really sure you know who you're recruiting. Make sure new people fit in well with current members. Stay on top of new recruits and make sure they feel welcomed and know/obey the rules from the beginning. And work on your relationships with fellow officers, because you will not want to lead others if you dislike your colleagues.

     

    /rant

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