Pls help ASAP!! Pleaseee now!!

<span>let
x = acres of when
y = acres of rye

Maximize
z = 500x + 300y

subject to
x >= 3
x <= 15
y >= 1
y <= 7
x + y <= 20

bounded

both

(3, 1)
(15, 1)
(15, 5)
(13, 7)
(7, 3)

sub points into your max equation
(3, 1) = 1500 + 300 = 1800
(15, 1) = 7500 + 300 = 7800
(15, 5) = 7500 + 1500 = 9000
(13, 7) = 6500 + 2100 = 8600
(7, 3) = 3500 + 900 = 4400

max profit of $9,000 is achieved when 15 acres of wheat and 5 acres of rye are planted and sold</span>

6 0

3 years ago

The graphs shown are of the form y = ax2. Which graph has the smallest value for a?

julia-pushkina [17]

$y= x^{2}$ is a parabola (looks like the letter U).

The letter a represents the coefficient of $x^{2}$ and it controls two things (1) how wide or narrow the parabola is and (2) whether it is concave up (like a U) or concave down (like an up-side-down).

The absolute value of a (the number without the sign) controls how wide or narrow it is. If the absolute value is a fraction less than 1 the graph gets wider. The smaller the absolute value of the fraction the wider the graph gets.

If the absolute value of a is greater than 1 the graph gets narrower (it gets skinnier). The bigger the absolute value the narrower the graph.

So, if all the graphs look like a U (concave up) then the one with the smallest a is the one that is the widest.

The a also controls whether the graph is concave up or concave down. If a is negative

If a is negative the graph is concave down so any graph that is concave down has a smaller value of a than any graph that is concave up. However, if the graph is concave down the one with the smallest a would be the most narrow one.

So to find the one with the smallest a...
If they are all concave up (like a U) pick the widest one
and
If they are not all concave up pick the narrowest one that is concave down (looks like an upside down U)

3 0

3 years ago