The maximum value of the objective function is 26 and the minimum is -10
<h3>How to determine the maximum and the minimum values?</h3>
The objective function is given as:
z=−3x+5y
The constraints are
x+y≥−2
3x−y≤2
x−y≥−4
Start by plotting the constraints on a graph (see attachment)
From the attached graph, the vertices of the feasible region are
(3, 7), (0, -2), (-3, 1)
Substitute these values in the objective function
So, we have
z= −3 * 3 + 5 * 7 = 26
z= −3 * 0 + 5 * -2 = -10
z= −3 * -3 + 5 * 1 =14
Using the above values, we have:
The maximum value of the objective function is 26 and the minimum is -10
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The answer is
x=2t and t=x/2, but we have <span>y = 3t -1
so </span><span>y = 3(x/2) -1
so y = 3x/2 - 1</span>
$62 total food amount
6% tax
20% of original cost of food for tip
62x0.06= 3.72
62x0.2= 12.4
62+12.4+3.72= $78.12
the total cost of the group is $78.12
Answer:
slope = 5/6
Step-by-step explanation:
Since you were given two points, you can use the point-slope formula to find the slope. The general equation looks like this:
y₁ - y₂ = m(x₁ - x₂)
In this formula, "m" represents the slope. To find the slope, plug the values from the two points into the equation. Make sure to put the values from the same point in the variable with the same number.
Point 1: (-1, 8)
Point 2: (-7, 3)
y₁ - y₂ = m(x₁ - x₂) <----- Original formula
8 - y₂ = m(-1 - x₂) <----- Plug in "x" and "y" values from Point 1
8 - 3 = m(-1 - (-7)) <----- Plug in "x" and "y" values from Point 2
5 = m(-1 - (-7)) <----- Simplify left side
5 = m(6) <----- Simplify inside parentheses
5/6 = m <----- Divide both sides by 6
SInce the 'growth factor' is 1.32, the 'growth rate' is .32 or 32%
