How Can a TI-83 Help Solve a Manufacturing Profit Problem?

[Seviper]

Homework Statement

A manufacturing company finds that it makes a profit of $20.00 on each article if 600 or fewer are made each week. The profit decreased by 2 cents per article over 600. How many additional articles should be produced per week in order to realized the maximum point?

Homework Equations

The Attempt at a Solution

20y - 0.02y

 

[Ray Vickson]

Homework Statement

A manufacturing company finds that it makes a profit of $20.00 on each article if 600 or fewer are made each week. The profit decreased by 2 cents per article over 600. How many additional articles should be produced per week in order to realized the maximum point?

Homework Equations

The Attempt at a Solution

20y - 0.02y

Is y equal the amount of production over 600 units? If so, you should say it, and not assume that the person marking your work is a mind-reader.

Doesn't 20y - 0.02y = 19.98y just keep increasing forever as y increases? Your formula just keeps the profit fixed at $19.98 per unit produced; that is not what the question said.

RGV

 

[Seviper]

Oh, I am confused i just typed EXACTLY what the question said, my teacher probably made a mistake but do you think you could solve it anyway because i have no clue what this means

 

[Ray Vickson]

Oh, I am confused i just typed EXACTLY what the question said, my teacher probably made a mistake but do you think you could solve it anyway because i have no clue what this means

What the teacher typed is clear and correct. The issue is what YOU typed, which is incorrect. And, yes, I can solve it, but the point is for YOU to solve it, or at least to make a start.

Here are a couple of hints: what it the profit on item 601? What is the profit on item 602? On item 603? Keep going like that, and try to represent the result by a formula.

RGV

 

[Seviper]

i Know how to do that, but it takes a long time. how do i make the equation

 

[Ray Vickson]

i Know how to do that, but it takes a long time. how do i make the equation

I asked you three questions (about items 601, 602 and 603). What are your answers?

As for getting an equation: that is the problem you need to solve. I am not allowed to give any more hints; it is up to you now.

RGV

 

[Seviper]

EUREKA, i got it the answer is 200 more because the equ'n is -50x square plus 1600. thank you so much

 

[Mark44]

Oh, I am confused i just typed EXACTLY what the question said, my teacher probably made a mistake but do you think you could solve it anyway because i have no clue what this means

That's not the way it works on Physics Forums. From the rules (https://www.physicsforums.com/showthread.php?t=414380):

Any and all assistance given to homework assignments or textbook style exercises should be given only after the questioner has shown some effort in solving the problem. If no attempt is made then the questioner should be asked to provide one before any assistance is given. Under no circumstances should complete solutions be provided to a questioner, whether or not an attempt has been made.

 

[Seviper]

oh ok, I am sorry today is my first day on this website and this is probably going to be the only time i use it but thank you Mark and Ray