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The point a has an x-ordinate of 3. Go straight to the left until your are under point C. You are now at an x-ordinate of -5. The horizontal distance from A to C is then 5- -3 = 8. Likewise, the vertical distance from A to C (the y-ordinate distance) is 5 - -1, or 6. Now we have a right triangle with legs 6 and 8. The Pythagorean Theorem then tell us the hypotenuse (straight line distance from A to C) is the square root of 6^2 + 8^2, or the square root of 100, which is 10..
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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
