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Varvara68 [4.7K]
3 years ago
10

How to find the percent of total,

Mathematics
1 answer:
ziro4ka [17]3 years ago
4 0
47 =100 %
30 =x percent

100* 30 /47 = 63.82 %

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A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven
Cerrena [4.2K]

Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y)  = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

$68x-8y=100$  .............(i)

$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$  .............(ii)

Solving (i) and (ii),

4 x (i)    ⇒       272x - 32y = 400

     (ii)   ⇒   (-<u>)     8x - 32y = -50   </u>

                        264x        = 450

∴   $x=\frac{450}{264}=\frac{75}{44}$

     $y=\frac{175}{88}$

So, x ≈  $ 1.70      and    y = $ 1.99

    R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

          1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

4 0
3 years ago
How to be good at math
Mama L [17]

Answer:

Just 3 simple steps!!

Step-by-step explanation:

Rule 1 : Read the the problem through until you understand it Rule 2: Find out what the problem is asking you to solve for Rule 3: Write down what is given , like variables terms, equation and write what your solving for

3 0
4 years ago
Read 2 more answers
If f(x)=x^2-2x find f(-3)
Arturiano [62]
Just substitute (-3) wherever you see x
(-3)^2 -2(-3) +3= 9+6+3=18 ( SORRY IF IM WRONG OR DID IT WRONG?? )
7 0
3 years ago
The freezing temperature of nitrogen is -346° F and the freezing temperature of
sdas [7]

Answer:

Oxygen

Step-by-step explanation:

Since Oxygen is at -362 and Nitrogen is higher at -346 which is closer to 0 which makes it higher then oxygen.

7 0
3 years ago
Solve the following equation: 28 ÷ 7 + 2 × 3 = ? <br> A. 24 <br> B. 12 <br> C. 18 <br> D. 10
zlopas [31]
<span>The answer is D. 10. According to the correct order of mathematical operations, multiplication and division are followed by addition and subtraction. So, to calculate 28 ÷ 7 + 2 × 3, first we will divide 28 by 7 and multiply 2 by 3, and them sum all numbers up: 28 ÷ 7 + 2 × 3 = 4 + 2 x 3 = 4 + 6 = 10.</span>
4 0
3 years ago
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