Answer:
18 eggs for 97 cents.
Step-by-step explanation:
.97/18 = 5 cents
When the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change.
<h3>What is an objective function?</h3>
An objective function simply means the function whose value is to be either maximized or minimized over the alternatives.
In this case, when the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change. The change is due to the varied objectives.
Learn more about objective function on:
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Answer:
Step-by-step explanation:
The most obvious answer is the line y = 1.
Answer:
$0.95
Step-by-step explanation:
Given that weight of the function = x
Given that cost of the postage for mail having weight less than or equal to 1 oz = $0.44
then to find the equation can be written as
C(x)=0.44 where 0<x<=1
Similarly we can write equation for other parts
C(x)=0.61 where 1<x<=2
C(x)=0.78 where 2<x<=3
C(x)=0.95 where 3<x<=3.5
Now we can write them together as piecewise function as shown in below:
to graph that we just draw horizontal lines for each as none equation contains x on the right side .
3.48 oz is less that 3.5 so we will use $0.95.
surface area (S) of a right rectangular solid is:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
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you have:
L = 7
W = a
H = 4
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formula becomes:
S = 2*7*a + 2*7*4 + 2*a*4
simplify:
S = 14*a + 56 + 8*a
combine like terms:
S = 22*a + 56
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answer is:
S = 22*a + 56 (equation 2)
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to prove, substitute any value for a in equation 2:
let a = 15
S = 22*a + 56 (equation 2)
S = 22*15 + 56
S = 330 + 56
S = 386
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since a = 15, then W = 15 because W = a
go back to equation 1 and substitute 15 for W:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = 15
H = 4
-----
equation 1 becomes:
S = 2*7*15 + 2*7*4 + 2*15*4
perform indicated operations:
S = 210 + 56 + 120
S = 386
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surface area is the same using both equations so:
equations are good.
formula for surface area of right rectangle in terms of a is:
S = 22*a + 56
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