The variable x represents the number of HDTVs manufactured and sold in a given month.  The variable p is the price charged when you sell a TV.                       A demand curve is given by p = 660-3x.   a) Find the x-intercept of this demand curve. Say what it means.       Assume you must pay salaries totalling 8000$ in a month.  Also, it costs $110 to manufacture one TV.   b) Write a formula for your cost function C(x)   c) Write a formula for your revenue function R(x)   d) The profit function is M(x) =       Graph the profit function and using the Maximum program, find the maximum possible profit and fill in the details (round off x to the nearest whole number):   e) number of sales: f) profit:     g) selling price: h) revenue:     i) cost:   j) check these results fit together:     k) Find the range of prices you can charge and still be in the black:   The lowest price you can charge is ___________ and the highest is ___________

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.4P
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The variable x represents the number of HDTVs manufactured and sold in a given month.  The variable p is the price charged when you sell a TV.                      

A demand curve is given by p = 660-3x.

 

a) Find the x-intercept of this demand curve. Say what it means.

 

 

 

Assume you must pay salaries totalling 8000$ in a month.  Also, it costs $110 to manufacture one TV.

 

b) Write a formula for your cost function C(x)

 

c) Write a formula for your revenue function R(x)

 

d) The profit function is M(x) =

 

 

 

Graph the profit function and using the Maximum program, find the maximum possible profit and fill in the details (round off x to the nearest whole number):

 

e) number of sales:

f) profit:

 

 

g) selling price:

h) revenue:

 

 

i) cost:

 

j) check these results fit together:

 

 

k) Find the range of prices you can charge and still be in the black:

 

The lowest price you can charge is ___________ and the highest is ___________

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