We are assuming that p is the price of the house and that q is the number of the houses.
The points given (q,p) , therefore, are:
(20 , 540000) and (50 , 450000)
The general form of the linear straight line is:
y = mx+c where m is the slope and c is the y-intercept.
(1) Calculating the slope:
The formula used to calculate the slope is:
m = (y2-y1) / (x2-x1) where:
y2 is the y-coordinate of the second point = 450000
y1 is the y-coordinate of the first point = 540000
x2 is the x-coordinate of the second point = 50
x1 is the x-coordinate of the first point = 20
Therefore:
m = (450000-540000) / (50-40) = -3000
(2) Calculating the y-intercept:
After getting the slope, the equation now is:
y = -3000x + c
To get the value of thec, use any point that belongs to the line and substitute with it in the equation above. I will use the point (20, 540000).
y = -3000 + c
540000 = -3000(20) + c
c = 540000 + 3000(20) = 600000
Based on the above calculations, the equation of the line is:
y = -3000x + 600000
A rhombus has about 4 sides
<span>I will assume the more likely selection of $10 per sandal as opposed to $0.05 per sandal.
So with the formulas
c = 1000 + 5x
r = 75x - 0.4x^2
Sandals Cost Revenue Profit or Loss
0 $1,000.00 $0.00 -$1,000.00
1 $1,005.00 $74.60 -$930.40
2 $1,010.00 $148.40 -$861.60
3 $1,015.00 $221.40 -$793.60
4 $1,020.00 $293.60 -$726.40
5 $1,025.00 $365.00 -$660.00
6 $1,030.00 $435.60 -$594.40
7 $1,035.00 $505.40 -$529.60
8 $1,040.00 $574.40 -$465.60
9 $1,045.00 $642.60 -$402.40
10 $1,050.00 $710.00 -$340.00
11 $1,055.00 $776.60 -$278.40
12 $1,060.00 $842.40 -$217.60
13 $1,065.00 $907.40 -$157.60
14 $1,070.00 $971.60 -$98.40
15 $1,075.00 $1,035.00 -$40.00
16 $1,080.00 $1,097.60 $17.60
17 $1,085.00 $1,159.40 $74.40
18 $1,090.00 $1,220.40 $130.40
19 $1,095.00 $1,280.60 $185.60
20 $1,100.00 $1,340.00 $240.00
As you can see 16 sandals and up is profitable.
At what production levels will the company lose money?
a. between 0 and 10 or between 150 and 190 pairs, inclusive
150 and 190
c. between 10 and 20 or between 50 and 100, inclusive
If you add up the profit between 10 and 20 you will get $-484 so 50 and 100
b. between 0 and 15 or between 160 and 200 pairs, inclusive
160 and 200
d. between 15 and 35 or between 75 and 125, inclusive
Neither 15 and 35 or 75 and 125 will lose money.</span>
