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3 years ago

Find the maximum and minimum values by evaluating the equation

Mathematics

1 answer:

dezoksy [38]3 years ago

7 0

Answer:

min = -9

max =3

Step-by-step explanation:

C = x-3y

x ≥0

x≤3

y≥0

y≤3

The minimum will be be when x is smallest and y is at its max

x =0 and y = 3

C = 0 - 3(3)

C = 0-9 = -9

The minimum is -9

The maximum occurs when x is largest and y is smallest

x =3 and y = 0

C = 3 - 3(0)

C = 3-0 = 3

The max is 3

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3 years ago

A certain economy's consumption function is given by the equation C(x) = 0.65x + 9 where C(x) is the personal consumption expend

ipn [44]

Answer:

1) $C(0) = 9$

2) $C(50) =41.5$

3) $C(100) =74$

Step-by-step explanation:

Given : A certain economy's consumption function is given by the equation $C(x) = 0.65x + 9$

where, C(x) is the personal consumption expenditure in billions of dollars, and x is the disposable personal income in billions of dollars.

To find :

1) C(0)

Put x=0 in the given equation,

$C(0) = 0.65(0)+ 9$

$C(0) = 9$

2) C(50)

Put x=50 in the given equation,

$C(50) = 0.65(50)+ 9$

$C(50) =32.5+9$

$C(50) =41.5$

3) C(100)

Put x=100 in the given equation,

$C(100) = 0.65(100)+ 9$

$C(100) =65+9$

$C(100) =74$

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