SOLUTION: Solve each problem. See Example 8. 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 wi

Algebra ->  Graphs -> SOLUTION: Solve each problem. See Example 8. 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 wi      Log On


   



Question 187579This question is from textbook Elementary and Intermediate Algebra
: Solve each problem. See Example 8. 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?
This question is from textbook Elementary and Intermediate Algebra

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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%28400%2C300%2C-10%2C10%2C-10%2C700%2C600-40x%29
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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.


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
d+=+600+-+40p
The more p increases, the smaller d becomes
(a) She will sell less if she raises the price
(b) Every time she raises the price $1, the 2nd term
on the right increases by 40, so d decreses
by 40, so the nuber of cans she sells drops by 40
+graph%28+500%2C+500%2C+-3%2C+17%2C+-50%2C+650%2C+600+-+40x%29+
d is the vertical axis
p is the horizontal axis