Tuesday

July 22, 2014

July 22, 2014

Posted by **ifi** on Monday, December 10, 2012 at 3:21am.

It determines that in order to sell x smartphones, the price per product must be p=280-0.4x. It also determine that the total cost of producing x smartphones is given by C(x)=5000+0.6x.

a. Find the total revenue, R(x).

b. Find the total profit, P(x).

c. How many smartphones must the company sell in order to maximize profit?

d. What is the maximum profit?

e. What is th price per smartphone must be charged in order to maximize profit?

can u please show me the steps to solve this and the final ans. x need to calculate.

- math -
**Steve**, Monday, December 10, 2012 at 11:39amR(x) = p(x)*x

P(x) = R(x)-C(x)

P(x) = x(280-.4x) - (5000+.6x)

= -.4x^2 + 279.4x - 5000

This is a parabola, with maximum at x = -279.4/-.8 = 349.25

plug that x into the functions to get profit and price.

**Related Questions**

help...urgent..calculus..please show tthe way to s - Sony Ent. is marketing a ...

help...urgent..calculus - Sony Ent. is marketing a new smartphone. It determines...

calculus - . Sony Ent. is marketing a new smartphone. It determines that in ...

maths - A clothing firm determines that in order to sell x suits, the price per ...

Calculus - A movie theater wants to determine the price per ticket that should ...

Math problem - The modern grocery has cashews that sell for $4.00 a pound and ...

College Algebra - Can you please help me solve this word problem? Your boss has ...

Math - An apprentice Carpenter has designed a wooden coffee table. he expects to...

algerbra - the modern grocery has cashews that sell for $4.75 per lb. and ...

math - Jake is making birdhouses to sell. The cost to make them is $80 for ...