SOLUTION: I need help on this question, I do not understand how to work the problem. Demand equation. Helen's Health Foods usually sells 400 cans of ProPac Muscle Punch per week when the

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Question 147683: I need help on this question, I do not understand how to work the problem.
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 by using the equation
d = 600 - 40p,
where d is the number of cans and p is the price of per can.
a) Will helen sell more or less Muscle Punch if she raises her price from $5?
b) What happens to her sales every time she raises her price by $1?
c) Graph the equation.
d) what is the maximum price that she can charge and still sell at least one can?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
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 by using the equation
d = 600 - 40p,
where d is the number of cans and p is the price of per can.
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Comment: 600 tells you the number she would sell if the price was zero;
-40 is the slope and tells you that she loses 40 sales for each dollar
the price is raised.
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a) Will helen sell more or less Muscle Punch if she raises her price from $5?
less because the slope is negative.
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b) What happens to her sales every time she raises her price by $1?
Demand goes down by 40 cans.
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c) Graph the equation.

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d) what is the maximum price that she can charge and still sell at least one can?
600 -40p >=1
-40p >= -599
p <= 14.975
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Cheers,
Stan H.