Juan makes two types of wooden clocks to sell at local stores. It takes him 2 hours to assemble a pine clock [x], which requires 1 ounce of varnish. It takes 2 hours to assemble an oak clock [y], which takes 4 ounces of varnish. Juan has 16 ounces of varnish in stock and can work 20 hours. If he makes $3.00 profit on each pine clock and $2.00 on each oak clock, how many of each type should he make to maximize his profits? 1. Make a table of your "Resources." Resources Pine(x) and Oak(y) Varnish X + 4y < 16 Time 2x + 2y < 20 2. Graph your inequalities by their intercepts: (0, 10)

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Juan makes two types of wooden clocks to sell at
local stores. It takes him 2 hours to assemble a pine
clock [x], which requires 1 ounce of varnish. It takes
2 hours to assemble an oak clock [y], which takes 4
ounces of varnish. Juan has 16 ounces of varnish in
stock and can work 20 hours. If he makes $3.00
profit on each pine clock and $2.00 on each oak
clock, how many of each type should he make to
maximize his profits?
1. Make a table of your "Resources."
Resources
Pine(x) and Oak(y).
Varnish
X + 4y < 16
Time
2x + 2y < 20
2. Graph your inequalities by their intercepts:
(0, 10)
-9-
-8
-7-
-6-
-5 (0, 4)
(8, 2)
-3-
-2
-1
(16, 0) -
(10, 0) -
14 15 16 17
Pine-Clock-
Juan's maximum profit is Ş
Oak
N-
Transcribed Image Text:Juan makes two types of wooden clocks to sell at local stores. It takes him 2 hours to assemble a pine clock [x], which requires 1 ounce of varnish. It takes 2 hours to assemble an oak clock [y], which takes 4 ounces of varnish. Juan has 16 ounces of varnish in stock and can work 20 hours. If he makes $3.00 profit on each pine clock and $2.00 on each oak clock, how many of each type should he make to maximize his profits? 1. Make a table of your "Resources." Resources Pine(x) and Oak(y). Varnish X + 4y < 16 Time 2x + 2y < 20 2. Graph your inequalities by their intercepts: (0, 10) -9- -8 -7- -6- -5 (0, 4) (8, 2) -3- -2 -1 (16, 0) - (10, 0) - 14 15 16 17 Pine-Clock- Juan's maximum profit is Ş Oak N-
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