The audubon society at enormous state university (esu) is planning its annual fund-raising "eatathon." the society will charge students $1.10 per serving of pasta. the society estimates that the total cost of producing x servings of pasta at the event will be

c(x) = 310 + 0.10x + 0.002x2 dollars.
(a) calculate the marginal revenue r'(x) and profit p'(x) functions.
r'(x)=
p'(x)=

(b) compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 200 servings of pasta.
revenue- $
profit- $
marginal revenue- $ per additional plate
marginal profit- $ per additional plate
interpret the results.
the approximate (profit of loss? ) from the sale of the 201st plate of pasta is $

(c) for which value of x is the marginal profit zero?
x=
interpret your answer.
the graph of the profit function is a parabola with a vertex at x= so the loss is at a minimum when you produce and sell plates.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

large crystals result from very slow cooling.

evaporation of water: this would produce an evaporite which is a sedimentary rock. like a salt pan in a desert. not possible to have volcanic rocks originate this way.

crystalization in molten earth: slow cooling over time. (hundreds to millions of years)

crystalization at earth's surface: this results in fast cooling. (a few hours to a few months or years)

crystalization from cooling off hot water: that would be a hydrothermal deposit. while associated with volcanics they are not volcanic rocks themselves and usually occur fairly rapidly.