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ryzh [129]
1 year ago
9

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for two dollars the manufacturer also has fix

ed cost each month of $8000 find the revenue function when X energy drinks are sold
Mathematics
1 answer:
dimulka [17.4K]1 year ago
6 0

Let X be the number of energy drinks sold.

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for two dollars the manufacturer also has fixed cost each month of $8000.

The manufacturing cost for X energy drinks is

1.20x

Fixed cost is $8000.

Therefore, cost function is

C(x)=1.20x+8000

Selling price of each drink is $2.

Therefore, the revenue function is

R(x)=2x

Hence, the revenue function is

R(x)=2x

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(2) To find the product of 4\frac{2}{3} and 3\frac{3}{4}.

Let us first convert the mixed fraction into improper fraction.

4\frac{2}{3}\times3\frac{3}{4}=\frac{(4\times3)+2}{3}\times\frac{(3\times4)+3}{4}

             =\frac{14}{3}\times\frac{15}{4}

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This can be simplified. Divide both numerator and denominator by 6.

             =\frac{35}{2}

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(3) To evaluate the expression 12x + 6 for x=2\frac{1}{4}.

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x=\frac{(2\times4)+1}{4}=\frac{9}{4}

12x+6=12(\frac{9}{4})+6

            =(\frac{108}{4})+6

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