Suppose a manufacturer can sell x items per week at a price p(x) = 200 - 0.01*x cents, and that it costs C(x) = 50*x + 20,000 cents to produce the x items. What is the production level for maximum profits?
(My Calculus professor put this question on the board this morning and I could not understand her explanation at all! Maybe I was too tired, but her accent is just tooo thick. I also am having trouble understanding the wording. Thanks for the help!!)
2006-11-08 14:41:46 · 3 answers · asked by thesekeys 3 in Science & Mathematics ➔ Mathematics
something is wrong in the way the problem is stated
both the answers are wrong, according to me.
if you differentiate -19800-50.01x you will get -50.01 and that cannot be equated to zero
2006-11-08 23:58:55 · answer #1 · answered by grandpa 4 · 0⤊ 0⤋
No problem Professor. The answer is 51.
2006-11-08 22:52:23 · answer #2 · answered by sweetirsh 5 · 0⤊ 0⤋
p(x)-c(x)=200-0.01x-50x-20000
profit=-19800-50.01x
differentiating and equating to zero
maximum profit is at
x=50.01 units
2006-11-09 00:36:47 · answer #3 · answered by raj 7 · 0⤊ 0⤋