1. If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x) = 9-(x/22). How many candy bars must be sold to mazimize revenue?
(I got the answer 198 thousan candy bars, please correct if wrong)
2.A small frictionless cart attached to the wall by a spring is pulled 10 cm back from its rest position and released at time t=0 to roll back and forth for 4 seconds. Its position at time t is s=1-10(cos)pi *t. What is the cart's max speed? WHen is the cart moving that fast? What is the magnitude of the acceleration then?
(I got the answer 10pi=31.42cm/sec; t= .5 s, 1.5 s, 25s, 3.5s ; accel=0cm/sec^2, again please correct if wrong)
3.From a thin piece of cardboard 40 in x 40 in, square corners are cut out so the sides can be folded up to make a box. What demensions yield a box of max. volume. What is max. volume?
(I got 26.7 x 26.7 x 6.7; 4746.7 in^3)
I would greatly appreciate if you could check and/or
correct.
2006-11-05 05:53:02 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
1st Problem:
Let's see, if we sell 198 thousand candy bars, we are giving them away, which is terrific for volume, but bad for profit.
Revenue = x P(x), = 9x-(x^2/22) differentiate to get 9-(2x/22) so x/11=9 x=99
Price would be 4.50
2006-11-05 06:17:30 · answer #1 · answered by Computer Guy 7 · 0⤊ 0⤋
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2016-05-22 01:17:48 · answer #2 · answered by Victoria 4 · 0⤊ 0⤋
Hmmm ... I'd like to help you but I see by your history that you don't bother to choose a best answer for your questions, even though it's clear that people spend lots of time giving you detailed answers.
2006-11-05 05:57:51 · answer #3 · answered by Anonymous · 0⤊ 0⤋