Saturday

September 20, 2014

September 20, 2014

Posted by **tim** on Friday, January 27, 2012 at 8:49pm.

- math 242 -
**Jennafer**, Friday, April 19, 2013 at 5:46pmsince "demand is increasing at an instantaneous rate of 7% a year" this means that d'(t)=pe^kt where k=0.07

now, "current demand is increasing by 7000 units per year" means that the principal demand is 7000, so p=7000.

then, "price remains fixed at $100 per unit" and since we are looking for revenue and not demand, and revenue=unit*price, so unit=7000 and price=100, so multiply those which gives you 700,000 and insert for p, so p actually =700,000 for revenue, not demand.

the last part "how much revenue will the manufacturer receive over the next 4 years. so you just use the fundamental theorum of calculus, and insert t=4 minus t=0, and you have your answer in terms of revenue not demand. :)

**Answer this Question**

**Related Questions**

Calculus - It is estimated that the demand for a manufacturer's product is ...

CALCULUS!!!(revised) please help - A price (in dollars) and demand for a product...

calculus - the demand for a certain type of auto tire is given by x=f(p) 50(1+e...

CALCULUS!!! - A price (in dollars) and demand for a product are related by If ...

Further calculus - 1) A price p (in dollars) and demand x for a product are ...

economic - In response to increasing thefts by drug addicts, the government ...

Math - The demand for rice in Japan for a particular year was estimated by the ...

calcules - The demand for rice in Japan for a particular year was estimated by ...

calcules - The demand for rice in Japan for a particular year was estimated by ...

Math - Which of the following statements describe an exponential relationship? ...