Module Three Discussion Question:

Solve the problem below. For your initial post in Brightspace, copy the description of your company given in the box below and then enter your solution to all three parts (parts a, b, and c) of the problem. To copy the description of your company, highlighting and using "copy" from here in Mobius and then using "paste" into Brightspace should work.However, if when you copy and pastex

2

you getx

2

instead, then change yourx

2

tox

^2

.

Hint: We covered this topic in "2-1 Reading and Participation Activities: Quadratic Equations" in Module Two. You can check your answer to part b to make sure that you are on the right track.

For a certain company, the cost for producingx

items is55x+300

and the revenue for sellingx

items is95x0.5x

2

.

The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumesthat a company wants to maximize its profit, or at least wants to make a profit!

Part a: Set up an expression for the profit fromproducing and sellingx

items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)

Part b: Find two values ofx

that will create profit of$300

.

The field below accepts a list of numbers or formulas separated by semicolons (e.g.2;4;6

orx+1;x1

). The order of the list does not matter. To entera

, type sqrt(a).

x=

Part c: Is it possible for the company to make a profit of$15,000

?