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) =
In order to maximize the revenue, set
.............(i)
.............(ii)
Solving (i) and (ii),
4 x (i) ⇒ 272x - 32y = 400
(ii) ⇒ (-<u>) 8x - 32y = -50 </u>
264x = 450
∴
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
Answer: 2.5
Step-by-step explanation:
Solve the numerator first.
We are left with:
To be able to work this out, we must convert the fraction to a decimal.
To do this, you can either go from a mixed number to an improper fraction and then from an improper fraction to a decimal, or you can divide the fractional part of the mixed number and add it to the whole number.
6+(1/4)
6+(0.25)
6+0.25
6.25
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Now, we know that this is a positive outcome because we have 2 negatives dividing.
6.25/2.5
To be able to work this out we have 1 more step to go. We have to convert these decimals to whole numbers; to do this, we multiply by 1 followed by as many zeros as the biggest number of decimals. In this case, the biggest number of decimals is 2, therefore; we must multiply by 1 followed by 2 zeros rather 100.
6.25*100/2.5*100
625/250
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Let's solve this.
625/250=2.5
500
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125'0
1250
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Answer:
1. D,F
2. E,F,G
3. C
4. B,C
5. A,B,C
Step-by-step explanation:
Answer: X equals 8
Step-by-step explanation: figure OUTD is a rectangle. Each angle in a rectangle measures 90 degrees. Therefore we can derive the value of angle X by the following expression;
(7X + 2) + 4X = 90
7X + 2 + 4X = 90
11X + 2 = 90
Subtract 2 from both sides of the equation
11X = 88
Divide both sides of the equation by 11
X = 8.