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
First bring all the x's to one side.
then subtract them.
then divide 24 by 3 to get the x alone and get your answer.
11x-8x=24
3x=24
x=8
C = amount of folks buying coach tickets
s = amount fo folks buying sleeper car tickets
we know the train had a total of 96 passengers, so, whatever "c" and "s" are
c + s = 96
we know all tickets sold for all 96 passengers was 19994, so, if "c" folks rode coach, each ticket is 114, thus 114*c is how much money was from couch, or 114c
if "s" folks rode the sleeper car, we know each ticket is 295 each, so 295*s is how much money was from the sleeper car
we also know, the total for all tickets is 19994
thus 114c + 295s = 19994
thus

solve for "s", to see how many folks rode coach
what about the sleeper car? well, s = 96 - c
The area of a rectangle equals length times height. (A=LH)
A=256.5 L=18
Plugging in the numbers into the equation, you get 256.5=18H. (like I substituted the numbers in)
next if you divided both sides by 18, it will cancel out the 18 in the 18H side of the equation.
So, it is 256.5/18 equaling H
256.5 divided by 18 is... 14.25
That means the height is 14.25 an the length is 18.
the perimeter is all of the sides added together. in a rectangle, the sides opposite each other are the same.
So you have two sides that are 14.25 and two that are 18 meters long.
14.25+14.25+18+18 equals the perimeter then.
So the answer would be... 64.5!
1) 2/3 <7/8
2) 2/4>2/6
3) 12000
4)
5)2x8=16
6) 9x4=36
4)1/3<3/4
5)3/4>1/4
6) Green group ate more pizza
7) Ben’s ride was longer
8)
The first 4 and 8 I didn’t do because I didn’t understand what they were asking for