Answer:
<h2>$6049.63</h2>
Step-by-step explanation:
the objective is to maximize profit
let x be corn and y be oat
let us begging by formulating the linear program for the problem
The objective function is
111x+47y=P
The constraints are
1. capital
36x+18y=2100------------1
2. labor
6x(8)+2y(8)=2400
48x+16y=2400-------------2
solving 1 and 2 we apply substitution method
36x+18y=2100------1
36x=2100-18y
x=(2100-18y)/36
put x=(2100-18y)/36 in 2 we have
48(2100-18y)/36+16y=2400
(100800-864y)/36+16y=2400
2800-24y+16y=2400
-8y=2400-2800
-8y=-400
8y=400
y=400/8
y=50
to find x put y=50 in 36x+18y=2100------------1
36x+18(50)=2100------------1
36x+900=2100
36x=2100-900
36x=1200
x=1200/36
x=33.33
profit is
111x+47y=P
111(33.33)+47(50)=P
3699.63+2350=P
P=6049.63
$6049.63
the planning comnination is to work on
33.33 acre of corn and 50 acre of oat
Answer:
A) tan(45°) help us to find the height of the tree because it relates our unknown with a known length (the length of the shadow)
B) tan(45°) = x/35.6
C) x = 35.6 ft
Step-by-step explanation:
B) From definition:
tan(45°) = opposite/adjacent
opposite to angle 45° is x ( the height of the tree), adjacent to angle 45° is the length of the shadow (35.6 ft). Replacing into the equation:
tan(45°) = x/35.6
C) tan(45°) = 1
Then:
1 = x/35.6
35.6 ft = x
Umm im older and I dont even understand that
