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
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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) (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.
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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) (Show Source): You can put this solution on YOUR website!
The more increases, the smaller 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 , so decreses
by , so the nuber of cans she sells drops by
is the vertical axis
is the horizontal axis
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