Jessie said she circled all of the systems of linear equations that
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The measure of QR is 6 units, which is 6 meters, since every unit on the coordinate grid is 1 meter.
The measure of UT is also 6 meters.
The measure of QU is 8 meters.
To find the measure of RS, we use the distance formula:
We substitute the coordinates of R and S into the formula and have:
To find the measure of ST we use the distance formula again, substituting the coordinates for S and T into the formula:
Now we find our perimeter by adding the sides together: 5.39 + 3.61 + 6 + 6 + 8 = 29 meters
Since fencing costs $24.75 per meter, we multiply this by our perimeter:
29(24.75) = $717.75
The measure of UT is also 6 meters.
The measure of QU is 8 meters.
To find the measure of RS, we use the distance formula:
We substitute the coordinates of R and S into the formula and have:
To find the measure of ST we use the distance formula again, substituting the coordinates for S and T into the formula:
Now we find our perimeter by adding the sides together: 5.39 + 3.61 + 6 + 6 + 8 = 29 meters
Since fencing costs $24.75 per meter, we multiply this by our perimeter:
29(24.75) = $717.75
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