Answer:
56 regular 37 tropical Maximum profit $204.75
Step-by-step explanation:
Constraints are:
r ≥ 0
t ≥ 0
2r+ 3t ≤ 125
2r + 1t ≤ 150
I will multiply the second by -3 to cancel t variable and see what is the maximum amount for the regular
2r + 3t ≤ 225
-6r - 3t ≤ -450
ADD BOTH
-4r ≤ -225
r≤ 56.5
Since we need to pick whole bottles ,not a fraction of a bottle we need ro round down.It should be less than 65.5.So we need 56 bottles of regular
2*56 +3t ≤ 225
112+3t ≤ 225
3t ≤ 113
t≤ 37.6666
37 bottles of tropical
2*56 + 3*37 = 112+111 =223 223<225
2*56 +37 = 112 +37 =149 149<150
$2.5*56 = $140
$1.75*37 = $64.65
Total profit $204.75
Just saying you have a 25% chance of getting it right if you guess
<span>Let the width of the rectangular plot of land be 'x' yards.
Given that the length of the rectangular plot of land is 10 yards more than its width.
So, width of the rectangular plot of land = (x + 10) yards.
Also given that the area of the rectangular plot of land is 600 square yards.
We know that, area of a rectangle = length * width
That is, (x+10) * x = 600
x^2 + 10x = 600
x^2 + 10x - 600 = 0
x^2 + 30x - 20x -600 = 0
x(x + 30) - 20(x + 30) = 0
(x +30)(x -20) =0
Therefore, either (x + 30) = 0 or (x - 20) = 0
If x + 30 = 0, then x = -30 and
If x - 20 = 0, then x = 20
Since 'x' represents the width of a rectangular plot of land it cannot be negative.
Therefore,
width of the rectangular plot of land = 20 yards
length of the rectangular plot of land= x + 10 = 30 yards</span>
