How to factor 49y^{2}-9x^{2}
1 answer:
You might be interested in
Call the weights of the two dogs 
and 
.
We know that Tripp weights 35lbs more than Rico, or:
We also know that the total weight of both dogs is 49lbs.:
Now, by substitution:
Rico weighs 7lbs.
Then:
Tripp weighs 42lbs.
To check our work:
CHECK!
We know that Tripp weights 35lbs more than Rico, or:
We also know that the total weight of both dogs is 49lbs.:
Now, by substitution:
Rico weighs 7lbs.
Then:
Tripp weighs 42lbs.
To check our work:
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.
