[ T ] John allocates d dollars to consume monthly three goods of prices a , b , and c . In this context, the budget equation is de?ned as a x + b y + c z = d , where x ≥ 0 , y ≥ 0 , and z ≥ 0 represent the number of items bought from each of the goods. The budget set is given by { ( x , y , z ) | a x + b y + c z ≤ d , x ≥ 0 , y ≥ 0 , } , and the budget plane is the part of the plane of equation a x + b y + c z = d for which x ≥ 0 , y ≥ 0 , and z ≥ 0. Consider a = $ 8 , b = $ 5 , c = $ 10 , and d = $ 500. Use a CAB to graph the budget set and budget plane. For z = 25 , find the new budget equation and graph the budget set ill the same system of coordinates.
[ T ] John allocates d dollars to consume monthly three goods of prices a , b , and c . In this context, the budget equation is de?ned as a x + b y + c z = d , where x ≥ 0 , y ≥ 0 , and z ≥ 0 represent the number of items bought from each of the goods. The budget set is given by { ( x , y , z ) | a x + b y + c z ≤ d , x ≥ 0 , y ≥ 0 , } , and the budget plane is the part of the plane of equation a x + b y + c z = d for which x ≥ 0 , y ≥ 0 , and z ≥ 0. Consider a = $ 8 , b = $ 5 , c = $ 10 , and d = $ 500. Use a CAB to graph the budget set and budget plane. For z = 25 , find the new budget equation and graph the budget set ill the same system of coordinates.
[
T
]
John allocates
d
dollars to consume monthly three goods of prices
a
,
b
,
and
c
.
In this context, the budget equation is de?ned as
a
x
+
b
y
+
c
z
=
d
,
where
x
≥
0
,
y
≥
0
,
and
z
≥
0
represent the number of items bought from each of the goods. The budget set is given by
{
(
x
,
y
,
z
)
|
a
x
+
b
y
+
c
z
≤
d
,
x
≥
0
,
y
≥
0
,
}
,
and the budget plane is the part of the plane of equation
a
x
+
b
y
+
c
z
=
d
for which
x
≥
0
,
y
≥
0
,
and
z
≥
0.
Consider
a
=
$
8
,
b
=
$
5
,
c
=
$
10
,
and
d
=
$
500.
Use a CAB to graph the budget set and budget plane.
For
z
=
25
,
find the new budget equation and graph the budget set ill the same system of coordinates.
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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