SOLUTION: 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 h

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Question 175893: 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 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 ankor@dixie-net.com(22740) About Me  (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 per can.
:
a) Will Helen sell more or less Muscle Punch if she raises
her price from $5?
Less, 40p is subtracted from 600
:
b) What happens to her sales every time she raises her
price by $1?
She sells 40 less cans
:
c) Graph the equation.
graph y = 600 - 40x
+graph%28+300%2C+200%2C+-5%2C+16%2C+-100%2C+700%2C+600-40x%29+
:
d) What is the maximum price that she can charge and
still sell at least one can?
Find p when d = 1
600 - 40p = 1
-40p = 1 -600
p = %28-599%29%2F%28-40%29
p = +14.975
We can say that if she sells it for $14.97, she will still sell at least one can
Check this: d = 600 - 40(14.97)
d = 600 - 598.8
d ~ 1 can