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
Answer:
y = 1/2x
Step-by-step explanation:
Perpendicular slope is opposite and reciprocal
Since AK = KD, then the triangle ABD is isosceles,
Then BD = AB. Denote AB by x and AK by y.
Then,
2x+4y=24 (the perimeter)
cos 60=y/x.
From the second equation we get
![y=0.5x](https://tex.z-dn.net/?f=y%3D0.5x)
Plug in the first equation we get:
![2x+4(0.5x)=24\\2x+2x=24\\4x=24\\x=6](https://tex.z-dn.net/?f=2x%2B4%280.5x%29%3D24%5C%5C2x%2B2x%3D24%5C%5C4x%3D24%5C%5Cx%3D6)
We deduce that