Let
e = Gibson Explorer’s = 20
v = Gibson Flying V’s
So, our problem is
<u>Maximize</u>Money = 80e + 5v<span>
<u>Subject to</u>0 </span>≤ <span>e ≤ 20
</span>0 ≤ v ≤ 20
0 ≤ e + v ≤ 30
In order to solve this problem, we look at the graph (attached), and find the value of Money =80e + 5v at corner points to find the maximum value of money.
(e,v)=(0,0) >> Money = 80e+5v = 80*0+5*0 = 0
(e,v)=(0,20) >> Money = 80e+5v = 80*0+5*20 = 100
(e,v)=(20,0) >> Money = 80e+5v = 80*20+5*0 = 1600
(e,v)=(20,10) >> Money = 80e+5v = 80*20+5*10 = 1650 (maximum)
(e,v)=(10,20) >> Money = 80e+5v = 80*10+5*20 = 900
So Bob can make the
<u>most money = $1,650</u> when he makes and sell
e = <span>Gibson Explorer’s = 20
</span>v = Gibson Flying V’s = 10
<u>ANSWER</u>
The point
lies on the straight line 
<u>EXPLANATION</u>
The given line is
. It can be observed that the given straight line is in the point-slope form.
We can rewrite the equation in the point-slope form to obtain,
.
When we compare this to the general point-slope form, which given by the formula;
,
We can observe that,
and
.
Hence the point,
lies on 
Step-by-step explanation:
The expression for he earning of Allison and her allowance is as follows :
15x+100y
Part A
Variables are x and y. Coefficients are 15 and 100.
Part (B)
There are two terms in this expression. + is used to separate the terms. 15x and 100y are the terms.
Part (C) As $15 shows her earning from allowances. Hence, 15x shows allowance.
First, subtract k from both sides. That means c - k is in the left side and 3x is on the right. Then, divide by 3 on both sides. So, the answer is x = (c - k) / 3.
Answer:
The width of rectangle is cm and length is cm.
Step-by-step explanation:
Let,
Width of rectangle = w
Length of rectangle =
Perimeter of rectangle = cm
Perimeter = 2(Length + Width)
Dividing both sides by 4
Width of rectangle =
The width of rectangle is cm and length is cm.
Keywords: rectangle, perimeter