You want to produce a certain number of products in order to maximize your profit. Market research tells you that if you set the price at $5, you will be able to sell 5000 items, and for every 10 cents you lower the price below $5 you will be able to sell another 1000 items. Suppose that your fixed costs total $2000, and the per item cost of production is $1. Find the price to set per item and the number of items sold in order to maximize profit, and also determine get. Explain your answer in details with equation and show the steps. maximum profit you can

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 30E: At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at...
icon
Related questions
Question
You want to produce a certain number of products in order to maximize your profit. Market research tells you that if you set the price at
$5, you will be able to sell 5000 items, and for every 10 cents you lower the price below $5 you will be able to sell another 1000 items.
Suppose that your fixed costs total $2000, and the per item cost of production is $1.
Find the price to set per item and the number of items sold in order to maximize profit, and also determine
get. Explain your answer in details with equation and show the steps.
maximum profit you can
Transcribed Image Text:You want to produce a certain number of products in order to maximize your profit. Market research tells you that if you set the price at $5, you will be able to sell 5000 items, and for every 10 cents you lower the price below $5 you will be able to sell another 1000 items. Suppose that your fixed costs total $2000, and the per item cost of production is $1. Find the price to set per item and the number of items sold in order to maximize profit, and also determine get. Explain your answer in details with equation and show the steps. maximum profit you can
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax