# Project #31270 - Maths

1. A firms total cost function iss given by TC=200+3q
While the demand function is given by P=107-2Q
A) write down the equation of the total revenue function.
B) graph the total revenue function for 0<q<60. Estimate output Q and
total revenue at its maximum.
C)plot total cost in b). Estimate the breakeven point in b) confirm
D) state the range of values for q foer which the company makes a profit.

II. Sales for a new magazine are expected to grow according to the equation :
S=200000(1-e(^-0.05t) t is given in weeks.
A) calculate nr. Of magazines sold after one week.
B)calculate nr of magazines after 5 20 35 45 50 52 weeks.
C) plot the sales. Comment on the general trend in sales.

3 )Compounded interest is given by the formula p(t)=P(0)(1+i)^t
The interest(i) is interest per year.
Often interests are compounded many times per year. Use the formula
5.13 in the book to show that a curve with. Compounded growth rate of
50 pct grows faster at a monthly rate than a quarterly rate.
What is the difference in value in year 20 for a monthly rate vs a
quarterly rate?

 Subject Mathematics Due By (Pacific Time) 05/19/2014 12:00 pm
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