Friday

August 1, 2014

August 1, 2014

Posted by **Candi** on Friday, July 20, 2007 at 2:00am.

The price p, in dollars, and the quantity x sold of a certain product obey the demand equation

x = -5p + 100, 0 (less than or equal to) p (less than or equal to) 20

a.) Express the revenue R as a funtion of x.

b.) What is the revenue if 15 units are sold?

c.) What quantity x maximizes revenue? What is the maximum revenue?

d.) What price should the company charge to maximize revenue?

Revenue= P*x

but p= 1/5 x +20 check that, then substitute to find Revenue as a function of x.

Maximizing Revenue. In calculus, there is a very elegant way. In algebra, we want find when Revenue is max.

Revenue= P*x

but p= 1/5 x +20 check that, then substitute to find Revenue as a function of x.

Maximizing Revenue. In calculus, there is a very elegant way. In algebra, we want find when Revenue is max.

**Related Questions**

math - the price p and the quantity x sold of a certain product obey the demand ...

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

Supply & Demand - 42) Given the demand equation 3 + p -40=0 and the supply ...

managerial economics - Exercise 1 The marketing manager has estimated the ...

math - The demand function for a certain commodity is approximated by: p = 100e-...

Algebra - Demand for pools. Tropical Pools sells an above ground model for p ...

Algebra 2 - Demand for pools. Tropical Pools sells an above ground model for p ...

math - supply and demand: for a certain commodity the supply equation is given ...

Algebra - . In this problem, we will analyze the profit found for sales of a ...

Algebra - 1. In this problem, we will analyze the profit found for sales of a ...