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The unit price of manufacturing a product is P=2000.01x where x is the number of units produced. assuming all units are sold.
a. what value of production (units) will yield a maximum sales?
b. what is the value of maximum sales?
c. what is the unit price at maximum sales level?
plss. help thank you
 one year ago
 one year ago
The unit price of manufacturing a product is P=2000.01x where x is the number of units produced. assuming all units are sold. a. what value of production (units) will yield a maximum sales? b. what is the value of maximum sales? c. what is the unit price at maximum sales level? plss. help thank you
 one year ago
 one year ago

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LolWolfBest ResponseYou've already chosen the best response.2
If we define x as the number of units produced, we the receive that the total production cost is: \[xP=200x0.01x^2\]So, we find the maxima of this curve, one way to do this is differentiation, although your teacher may have taught you a few others: \[ (xP)'=2000.02x=0\\ x=10000 \]Which means that, we have minimized the cost per unit at this point. (A) the value of sales is \[10000P(x)=10000\cdot(20010000\cdot0.01)=10^6\]Which is our answer to B. And, as the previous, we simply take \[ P(x)=2000.01\cdot10000=100 \] For C.
 one year ago

dumbcowBest ResponseYou've already chosen the best response.0
sales = price * num of units sales = P(x) * x sales = 200x  .01x^2 this is a parabola...to get maximum, find vertex y = .01x^2 +200x + 0 x_coord of vertex = b/2a where a,b,c are coefficients x = 200/.02 = 10,000 plug this in to get y_coord of vertex
 one year ago

dumbcowBest ResponseYou've already chosen the best response.0
@LolWolf way is better...assuming you know calculus
 one year ago

LolWolfBest ResponseYou've already chosen the best response.2
If you don't, you @dumbcow 's way to find the maxima works equally as well.
 one year ago

bii17Best ResponseYou've already chosen the best response.0
its for our calculus .. Thank you guys for your help. i get it.. Thak you @LolWolf @dumbcow
 one year ago
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