HELPPP find the value of x !!!
2 answers:
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Answer:
Graph B
No
Inside
Step-by-step explanation:
Let, the number of apples = x and number of peaches = y.
It is given that the farmer can afford maximum of 54 acres.
Thus, x + y ≤ 54.
Also, apples require 3000 gallons of water and peaches require 800 gallons of water each day.
Since, maximum amount of water is 80,000 gallons per day,
We get, 3000x + 800y ≤ 80,000.
It is required to maximize the profit given by z = 3400x + 1600y.
Thus, the system of equations becomes,
z = 3400x + 1600y
3000x + 800y ≤ 80,000.
x + y ≤ 54.
Plotting these equations gives the following graph.
We can see that the graph obtained is equivalent to Graph B.
Further, we know that the maximum value of the objective function z = 3400x + 800y is obtained at the boundary point of the solution region.
Thus, any point inside the solution region will give a feasible solution not maximum solution.
Hence, ( 30,20 ) will not maximize the profit as it lies inside the solution region.
Given:
The principal = $ 4000
The rate of interest = 22 %
To find the loan amount a) after 1 year and b) after 3 years.
Formula
Loan amount is
where,
A be the loan amount
P be the principal
r be the rate of interest and
t be the time.
Now,
a) Taking, P = 4000, r = 22, t = 1 we get,
or,
Again,
b) Taking, P = 4000, r = 22 and t = 4 w eget,
Hence,
a) The amount of loan after 1 year is $ 4880
and b) The amount of loan after 4 year is $ 7263.39.