An electronics company has developed a new hand-held device. The company predicts that the start-up cost to manufacture the new product will be $225,000, and the cost to make one device will be $7.50. If the company plans on selling the devices at a price of $9, write and solve an inequality to determine how many must be sold for the company to make a profit. Show your work.
Stacey Warren - Expert brainly.com
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So we'll do this in pieces.
what is the cost of the company?
cost of company to start = ?
profit = -22500
now if we we want to make any money, profit, we need to sell devices, what would the eqwuation look like if I wanted to know how much money I make for each device I sell?
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umm im not sure
it would look like this:
how much money is made when each device is sold=9*x
where x is the number of devices sold
I have to go soon..
so now our equation would look like this:
profit = 9*x -22500
can you do what I did with the 9x but with how much it costs to make each device?
very good, but I was a bit confusing when I asked you to do it ^_^
so now if we combine all the parts, the
profit = 9x-7.5x-2500
profit = 9x-7.5x-22500
now we need to set the equation equal to x
so we move the 22500 to the other side:
22500 = 9x-7.5x
now we factor out the x on the right side
22500 = x(9-7.5)
22500 = x(1.5)
divide both sides by 1.5
22500/1.5 = x
now change the = sign to an inequality
22500/1.5 < x
so in order for a company to make any profit, x must be greater than 22500/1.5
so, I sorta rushed it all at the end, but I have to go ^_^
alright, thank you for the help!!
^_^ we did the hard part of setting up the equation. and all the stuff I rushed was just algebra stuff