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Kendra, a florist, makes and sells colorful bouquets of flowers. Over time she realizes that if she lowers the price of her bouquets, she sells more of them When she charges p dollars for each bouquet, she can sell 350-5p bouquets in a month.This means that her monthly revenue is p(350-5p) dollars. It costs Kendra 10 to make each bouquet and she pays 2,500 in other monthly expenses. This means that her monthly costs are 10(350-5p)+2,500 dollars. So, if she charges p dollars for each bouquet, her monthly profit in dollars will be p(350-5p)-(10(350-5p)+2,500) This expression can be simplified to -5p^2+400p-6,000 and then written in factored form as -5(p-20)(p-60) What do the numbers 20 and 60 represent in the expression? the price for each bouquet that will maximize Kendra's monthly profit, and the number of bouquets she can sell at that price the prices Kendra can charge for each bouquet to exactly break even Kendra's minimum and maximum monthly profit in dollars the number of bouquets Kendra can sell, and her monthly profit in dollars, if she charges 40 for each bouquet

Problemas

Kendra, a florist, makes and sells colorful bouquets of flowers. Over time she realizes that if
she lowers the price of her bouquets, she sells more of them When she charges p dollars for
each bouquet, she can sell 350-5p bouquets in a month.This means that her monthly
revenue is p(350-5p) dollars. It costs Kendra 10 to make each bouquet and she pays
 2,500 in other monthly expenses. This means that her monthly costs are
10(350-5p)+2,500 dollars. So, if she charges p dollars for each bouquet, her monthly
profit in dollars will be p(350-5p)-(10(350-5p)+2,500)
This expression can be simplified to -5p^2+400p-6,000 and then written in factored form
as -5(p-20)(p-60)
What do the numbers 20 and 60 represent in the expression?
the price for each bouquet that will maximize Kendra's monthly profit, and
the number of bouquets she can sell at that price
the prices Kendra can charge for each bouquet to exactly break even
Kendra's minimum and maximum monthly profit in dollars
the number of bouquets Kendra can sell, and her monthly profit in dollars, if
she charges 40 for each bouquet

Kendra, a florist, makes and sells colorful bouquets of flowers. Over time she realizes that if she lowers the price of her bouquets, she sells more of them When she charges p dollars for each bouquet, she can sell 350-5p bouquets in a month.This means that her monthly revenue is p(350-5p) dollars. It costs Kendra 10 to make each bouquet and she pays 2,500 in other monthly expenses. This means that her monthly costs are 10(350-5p)+2,500 dollars. So, if she charges p dollars for each bouquet, her monthly profit in dollars will be p(350-5p)-(10(350-5p)+2,500) This expression can be simplified to -5p^2+400p-6,000 and then written in factored form as -5(p-20)(p-60) What do the numbers 20 and 60 represent in the expression? the price for each bouquet that will maximize Kendra's monthly profit, and the number of bouquets she can sell at that price the prices Kendra can charge for each bouquet to exactly break even Kendra's minimum and maximum monthly profit in dollars the number of bouquets Kendra can sell, and her monthly profit in dollars, if she charges 40 for each bouquet

Solución

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Elenaprofessionell · Tutor durante 6 años
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The numbers 20 and 60 in the expression represent the prices Kendra can charge for each bouquet to exactly break even. When the profit is zero, the expression becomes $-5(p-20)(p-60)=0$, which means that Kendra breaks even when she charges $20 or $60 for each bouquet.
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