Answer:
Number of recyclable items sort in 4 minutes by Faye = 200
Step-by-step explanation:
Given that Faye can sort 150 recyclable items in 3 minutes.
Number of recyclable items sort in 3 minutes = 150
Number of recyclable items sort in 4 minutes = 4 x Number of recyclable items sort in 1 minute
Number of recyclable items sort in 4 minutes = 4 x 50 = 200
Number of recyclable items sort in 4 minutes by Faye = 200
Answer:
The appropriate solution is:
(1) 22.81 minutes
(2) 0.171
Step-by-step explanation:
According to the question, the values will be:
The service rate of guess will be:
=
=
The mean arrival rate will be:
The mean service rate will be:
(1)
The average time a cab must wait will be:
⇒
⇒
⇒
⇒
(2)
The required probability will be:
⇒
⇒
⇒
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.
Answer:
Step-by-step explanation: