document.write( "Question 146674: Hello,
\n" ); document.write( "I am enrolled in a pre-algebra course online (so hard). Each week, we have to pick a \"homework\" problem from an approved list out of the current chapter in which we are working in. I have attempted to solve mine but I got stuck halfway through. I will type the problem just as it is stated in the textbook.
\n" ); document.write( "Demand equation. Helen's Health Foods usually sells 400 cans of ProPac Muscle Punch per week when the price is $5 per can. After experimenting with prices for some time, Helen has determined that the weekly demand can be found using the equation
\n" ); document.write( "d=600-40p,
\n" ); document.write( "where d is the numbe of cans and p is the price per can.
\n" ); document.write( "a) Will Helen sell more or less cans if she raises her price from $5?
\n" ); document.write( "b) What happens to her sales every time she raises her price by $1?
\n" ); document.write( "c)Graph the equation
\n" ); document.write( "d) What is the maximum price that she can charge and still sell at least one can?\r
\n" ); document.write( "\n" ); document.write( "I used the formula:
\n" ); document.write( "d=600-40 * 5 = 2800
\n" ); document.write( "d=600-40 * 6 = 3360\r
\n" ); document.write( "\n" ); document.write( "and so on, I don't know if this is right because if you increase the price, the demand increases, but wouldn't it be the other way around?
\n" ); document.write( "Thanks so much for your help :)
\n" ); document.write( "

Algebra.Com's Answer #107097 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
It is the other way around.
\n" ); document.write( "It's 600 - (40*5) = 400, and
\n" ); document.write( "600 - (40*6) = 360.
\n" ); document.write( "Multiply first, then subtract
\n" ); document.write( "-----------------
\n" ); document.write( "a) She'll sell fewer cans if the price goes up.
\n" ); document.write( "b) For each $1 increase, she'll sell 40 fewer cans.
\n" ); document.write( "c) Don't know how to do that here.
\n" ); document.write( "d) 600 - (40*Max) = 1
\n" ); document.write( "40*Max = 599
\n" ); document.write( "Max = 599/40 = $15 (to the nearest dollar), or $14.975.
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