59
<Example 1>
To produce one unit of product
X
, 3 kg of material
A
and 1 kg of material
B
are required.
To product one unit of product
Y
, 1 kg of material
A
and 2 kg of material
B
are required.
There are 9 kg of
A
and 8 kg of
B
in stock.
If the selling price of product
X
is 30,000 yen/unit and the selling price of
product
Y
is 20,000 yen/unit, how many units of product
X
and how many
units of product
Y
should be produced in order to maximize sales
K
?
(Do not include the cost of materials and production or other expenses)
If the quantities produced of each product are
x
and
y
, the sales
K
can be
expressed as
K
= 3
x
+ 2
y
The following relations hold for the quantities in stock:
3
x
+
y
9
x
+ 2
y
8
x
0,
y
0
Based on these conditions, find the values of
x
and
y
that maximize sales
K
.
The conditions can be graphed as shown above.
The sales
K
is a maximum where the line
K = 3x + 2y
passes through the
intersection point
P
of lines 3
x
+
y
= 9 and
x
+ 2
y
= 8.
The intersection point P can be obtained from the following simultaneous equations:
3
x
+
y
= 9
x
+ 2
y
= 8
Solving these gives
x
= 2,
y
= 3
and thus the maximum value of the sales
K
is
K
= 3 x 2 + 2 x 3 = 12 (x 10,000) yen (when
x
= 2 units and
y
= 3 units)
9
4
2
0
3
y
P
K=3x+2y
x
8
K
Simultaneous Calculation
(Function for EL-W506X/EL-W516X/EL-W506)
Содержание WriteView EL-W531X
Страница 1: ...SCIENTIFIC CALCULATOR OPERATION GUIDE SCIENTIFIC CALCULATOR OPERATION GUIDE Write View ...
Страница 38: ...37 Example Operation Absolute Value Returns an absolute value Display 3 4 ...
Страница 54: ...53 3 100 10 20 3000 0 x x dx Integration calculation x dx ...
Страница 70: ...69 a b r ...
Страница 75: ... SHARP CORP SEP 13 ...
