Question 187579
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 by using the equation d = 600 – 40p, where d is the number of cans and p is the price per can.
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(a) Will Helen sell more or less Muscle Punch if she raises her price from $5?
Let p = $5 and solve for "d".
d = 600 - 40*p
If p is increased above $5 d will decrease below 400
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(b) What happens to her sales every time she raises her price by $1? 
 
Sales go down by 40 for every $1 increase in the price.
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(c) Graph the equation.
{{{graph(400,300,-10,10,-10,700,600-40x)}}}
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(d) What is the maximum price that she can charge and still sell at least one can?
1 <= 600 - 40p
-40p >= -599
p <= $14.98
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Cheers,
Stan H.