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
Step-by-step explanation:
The constant rate of change in this question simply means the slope
To get the slope, we simply get two points and apply the slope equation;
The points are;
(3,60) and (6,30)
The slope equation is;
m = (y2-y1)/(x2-x1) = (30-60)/(6-3) = -30/3 = -10 ft/s
So our answer is the first option as it represents a decent of -10 ft/s
The ratio would be 4:2. In simplest form, it would be 2:1. The meaning is that since there are 4 flutes, the first ratio number would be 4. Same with the 2 drums. How you would simplify it is that you have to minus it down. Since 2 can go into 4, the logical answer would have to be 2:1
Associative property?? it changes the grouping
