Answer:
I dont have the table I need it to answers
Answer:
37.89051724=x
Step-by-step explanation:
We can use similar triangles and proportions to solve. Put the same side of the small triangle over the large triangle.
MA MB
------- = ----------
MN MP
80.5 -35 x
------------- = ----------
70.5 96.6 -x
Simplifying
45.5 x
------------- = ----------
70.5 96.6 -x
Using cross products
45.5 (96.6-x) = 70.5x
Distribute
4395.3 - 45.5 x = 70.5x
Add 45.5x to each side
4395.3 - 45.5 x+45.5x = 70.5x+45.5x
4395.3 = 116x
Divide each side by 116
4395.3/116 = 116x/116
37.89051724=x
Answer:
3
Step-by-step explanation:
subtract
Answer:
20 masks and 100 ventilators
Step-by-step explanation:
I assume the problem ask to maximize the profit of the company.
Let's define the following variables
v: ventilator
m: mask
Restictions:
m + v ≤ 120
10 ≤ m ≤ 50
40 ≤ v ≤ 100
Profit function:
P = 10*m + 65*v
The system of restrictions can be seen in the figure attached. The five points marked are the vertices of the feasible region (the solution is one of these points). Replacing them in the profit function:
point Profit function:
(10, 100) 10*10 + 65*100 = 6600
(20, 100) 10*20 + 65*100 = 6700
(50, 70) 10*50 + 65*70 = 5050
(50, 40) 10*50 + 65*40 = 3100
(10, 40) 10*10 + 65*40 = 2700
Then, the profit maximization is obtained when 20 masks and 100 ventilators are produced.