Product mix for maximum profit. A firm produces two types of earphones per year: x thousand of type A and y thousand of type B . If the revenue and cost equations for the year are (in millions of dollars) R ( x , y ) = 2 x + 3 y C ( x , y ) = x 2 − 2 x y + 2 y 2 + 6 x − 9 y + 5 determine how many of each type of earphone should be produced per year to maximize profit. What is the maximum profit?
Product mix for maximum profit. A firm produces two types of earphones per year: x thousand of type A and y thousand of type B . If the revenue and cost equations for the year are (in millions of dollars) R ( x , y ) = 2 x + 3 y C ( x , y ) = x 2 − 2 x y + 2 y 2 + 6 x − 9 y + 5 determine how many of each type of earphone should be produced per year to maximize profit. What is the maximum profit?
Solution Summary: The author explains the number of earphones that should be produced per year to maximize the profit function and obtain the maximum profit value.
Product mix for maximum profit. A firm produces two types of earphones per year: x thousand of type A and y thousand of type B. If the revenue and cost equations for the year are (in millions of dollars)
R
(
x
,
y
)
=
2
x
+
3
y
C
(
x
,
y
)
=
x
2
−
2
x
y
+
2
y
2
+
6
x
−
9
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+
5
determine how many of each type of earphone should be produced per year to maximize profit. What is the maximum profit?
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