Profit Functions The monthly profit (in dollars) of Bond and Barker Department Store depends on the level of inventory x thousands of dollars) and the floor space y (in thousands of square feet) available for display of the merchandise, as given by equation. P(x, y) = -0.02x2 - 16y² + xy + 37x + 33y – 20,000 ap ap and ax Compute. when x = 4000 and y = 150. ду (4000, 150) ax (4000, 150) ду Interpret your results. aP (4000, 150) tells us that monthly profit increases by $ ax |per thousand dollars increase in inventory. With the same inventory and floor space as above, OP (4000, 150) tells us that monthly profit decreases by $ ду per thous square-foot increase in floor space. ap ap Compute and when x = 5000 and y = 150. дх ду (5000, 150) ax (5000, 150) ду = Interpret your results. ap (5000, 150) tells us that monthly profit decreases by $ |per thousand dollars increase in inventory. With the (5000, 150) tells us that monthly profit increases by $ ду same inventory and floor space as above, per thous square-foot increase in floor space.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section4.1: Linear Functions
Problem 121SE: Suppose that average annual income (in dollars) forthe years 1990 through 1999 is given by the...
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Profit Functions The monthly profit (in dollars) of Bond and Barker Department Store depends on the level of inventory x (in
thousands of dollars) and the floor space y (in thousands of square feet) available for display of the merchandise, as given by the
equation.
P(x, y) = -0.02x2 - 16y² + xy + 37x + 33y – 20,000
ap
ap
and
ax
Compute.
when x = 4000 and y = 150.
ду
(4000, 150)
ax
(4000, 150)
ду
Interpret your results.
aP
(4000, 150) tells us that monthly profit increases by $
ax
|per thousand dollars increase in inventory. With the
same inventory and floor space as above, OP (4000, 150) tells us that monthly profit decreases by $
ду
per thousand-
square-foot increase in floor space.
ap
ap
Compute
and
when x = 5000 and y = 150.
дх
ду
(5000, 150)
ax
(5000, 150)
ду
=
Interpret your results.
ap
(5000, 150) tells us that monthly profit decreases by $
|per thousand dollars increase in inventory. With the
(5000, 150) tells us that monthly profit increases by $
ду
same inventory and floor space as above,
per thousand-
square-foot increase in floor space.
Transcribed Image Text:Profit Functions The monthly profit (in dollars) of Bond and Barker Department Store depends on the level of inventory x (in thousands of dollars) and the floor space y (in thousands of square feet) available for display of the merchandise, as given by the equation. P(x, y) = -0.02x2 - 16y² + xy + 37x + 33y – 20,000 ap ap and ax Compute. when x = 4000 and y = 150. ду (4000, 150) ax (4000, 150) ду Interpret your results. aP (4000, 150) tells us that monthly profit increases by $ ax |per thousand dollars increase in inventory. With the same inventory and floor space as above, OP (4000, 150) tells us that monthly profit decreases by $ ду per thousand- square-foot increase in floor space. ap ap Compute and when x = 5000 and y = 150. дх ду (5000, 150) ax (5000, 150) ду = Interpret your results. ap (5000, 150) tells us that monthly profit decreases by $ |per thousand dollars increase in inventory. With the (5000, 150) tells us that monthly profit increases by $ ду same inventory and floor space as above, per thousand- square-foot increase in floor space.
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