May i get help on this im sort of doing bad in this subject so thanks!
1 answer:
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Answer:
the critical points are (0,0) , (0, 20), (12, 0) , (4,16)
Step-by-step explanation:
To consider the autonomous system
The critical points of the above system can be derived by replacing x' = o and y' = 0.
i.e.
x = 0 or 24 - 2x - y = 0 ----- (1)
Also
y( 20 -y - x) = 0
y = 0 or 20 - y - x = 0 ----- (2)
By solving (1) and (2);
we get x = 4 and y = 16
Suppose x = 0 from (2)
y = 20
Also;
if y = 0 from (1)
x = 12
Thus, the critical points are (0,0) , (0, 20), (12, 0) , (4,16)
Answer:
right-handed gloves and
left-handed gloves were sold.
Step-by-step explanation:
Given: In one month, gloves were sold for a total revenue of
.
right-handed gloves cost and left-handed gloves cost
.
To find: How much of each type of gloves did they sell?
Solution: Let they sell right-handed gloves, and
left-handed gloves.
Now, cost of each right-handed gloves
cost of each left-handed gloves
Total revenue
So, we get
Also, in a month gloves were sold.
So, we get
Now, from we get,
.
Putting in equation
, we get
Now, putting in equation
, we get
Hence, right-handed gloves and
left-handed gloves were sold.