SOLUTION: Demand equation. Helen’s Health food usually sells 400 cans of Propac Muscle Punch per week when the price is $5 per can. After experimenting with the weekly demand can be found by

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Question 83955: Demand equation. Helen’s Health food usually sells 400 cans of Propac Muscle Punch per week when the price is $5 per can. After experimenting with 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.
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 Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
d = 600 - 40p where d is the number of cans and p is the price per can
a) will Helen sell more or less Muscle Punch if she raises her price from $5?
when p = 5 ~> d = 400
when p + 1 = 6 ~> d = 360 Less
b) What happens to her sales every time she raises her price by $1?
p = 5 ~> d = 400
p = 6 ~> d = 360 (-40)
p = 7 ~> d = 320 (-40)
Decreases 40 each time ...
c) Graph the equation
p is represented by the x-axis
d is represented by the y-axis
graph%28300%2C300%2C-2%2C10%2C-50%2C800%2C600+-+40x%29
d) What is the maximum price that she can charge and still sell at least one can?
1 =< 600 - 40p
-599 =< - 40p
599 => 40p
14.975 => p