document.write( "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.
\n" ); document.write( "a) will Helen sell more or less Muscle Punch if she raises her price from $5?
\n" ); document.write( "b) What happens to her sales every time she raises her price by $1?
\n" ); document.write( "c) Graph the equation
\n" ); document.write( "d) What is the maximum price that she can charge and still sell at least one can?
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d = 600 - 40p where d is the number of cans and p is the price per can
\n" ); document.write( "a) will Helen sell more or less Muscle Punch if she raises her price from $5?
\n" ); document.write( "when p = 5 ~> d = 400
\n" ); document.write( "when p + 1 = 6 ~> d = 360 Less
\n" ); document.write( "b) What happens to her sales every time she raises her price by $1?
\n" ); document.write( "p = 5 ~> d = 400
\n" ); document.write( "p = 6 ~> d = 360 (-40)
\n" ); document.write( "p = 7 ~> d = 320 (-40)
\n" ); document.write( "Decreases 40 each time ...
\n" ); document.write( "c) Graph the equation
\n" ); document.write( "p is represented by the x-axis
\n" ); document.write( "d is represented by the y-axis
\n" ); document.write( "\"graph%28300%2C300%2C-2%2C10%2C-50%2C800%2C600+-+40x%29\"
\n" ); document.write( "d) What is the maximum price that she can charge and still sell at least one can?
\n" ); document.write( "1 =< 600 - 40p
\n" ); document.write( "-599 =< - 40p
\n" ); document.write( "599 => 40p
\n" ); document.write( "14.975 => p
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