Answer:
P = 9 is the max value
Step-by-step explanation:
Sketch
2x + 4y = 10
with x- intercept = (5, 0) and y- intercept (0, 2.5)
x + 9y = 12
with x- intercept = (12, 0) and y- intercept = (0, 
)
Solve
2x + 4y = 10 and x + 9y = 12 to find the point of intersection at (3, 1)
The region corresponding to the solution of the system of constraints
Has vertices at (0, ), (0, 0) , (5, 0) and (3, 1)
Now evaluate the objective function at each vertex.
(0, 0) can be excluded as it will not give a maximum
(5, 0) → P = 5 + 0 = 5
(0, ) → 0 + 8 = 8
(3, 1) → 3 + 6(1) = 3 + 6 = 9 ← maximum value
Thus the maximum value is 9 when x = 3 and y = 1
Answer:
The amount need to borrow a owner is $100,000
Step-by-step explanation:
The total amount a owner having to start a business = $1,000,000.
He wishes to place $ 100,000 into bank account to maintain as cash reserve.
Now the amount he left with to spent in business purposes = $1,000,000 - $100,000 = $ 900,000.
He needs to purchase equipment and material of $1,000,000
But he is left with only $900,000.
So the amount he has to borrow to fulfill his business requirement is
= $1,000,000 - $900,000 = $100,000
Answer:
<em>Results below</em>
Step-by-step explanation:
<u>Equation of the line</u>
A straight line can be written in the form:
y = ax + b
Where a and b are constants and x is the independent variable.
The essential condition for an equation to be linear is that the x must be powered to the exponent 1, which is usually not written.
From the equations presented in the table:
is linear because the exponent of the x is 1
y = 5(x+2) = 5x + 10 is linear with a=5 and b=10.
y = x is linear with a=1 and b=0
is not linear because the exponent of x is 2
is not linear because the exponent of x is 2
The table below summarizes the results
Answer:
x = 3
Step-by-step explanation:
-5(3x -7) + 11 = 1
Distribute 5:
-15x + 35 + 11 = 1
Combine like terms:
-15x + 46 = 1
Subtract by 46 =
-15x = 1 - 46
-15x = -45
Divide by -15:
x = -45 / -15
x = 3
Answer:
Only the area the chapter to fit?
