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
<span> the total distance around the pie is the circumference of the pie, assuming that the pie is a perfect circle then the formula for the circumference of a circle is:
c = piD
where pi is equal to 3.1416
D is the diameter of pie or circle
substitute the given values
C = (3.1416) ( 20 ft
c = 62.832 ft
</span>
Answer:
M = (Y2 - Y1) / (X2 - X1)
Step-by-step explanation:
First, look at a graph of a line and find two points, 1 and 2. You can use any two points on a line. The slope will be the same between any two points on a straight line.
Note the X and Y value for each of the points.
Now we'll designate the X and Y value for points 1 and 2. We'll use subscripts to identify them in the slope formula.
Hope this helps!
<span>
Rate = 40/16 = 10/4 = 5/2 = 2.5 meters/second
Unit rate = ratio where denominator is 1 = 2.5/1 meters/second
</span>
