Wednesday

April 1, 2015

April 1, 2015

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 ...

Advanced Production - Montegut Manufacturing produces a product for which the ...

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

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

maths - The population of a country is 10 million in 1997 and increasing at a ...

Economics - Present value equivalent for geometrically increasing series when ...

Mcc - M. Cotteleer Electronics supplies microcomputer circuitry to a company ...

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

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

calc - On January 1, 2013, at a price of x dollars, the demand for a certain ...