326 algebra De mystif ieD
The administrator should invest at least $136,363.64 in the corpo-
rate bond in order to receive at least $30,000 per year in interest
payments.
- Let x = number of corn dogs sold per day
2 x = revenue
200 + 0.35x = overhead costs + production costs = total cost
2 x – (200 + 0.35x) = profit
profit ≥ 460
– + ≥
– –
2 200 035 460
2 200
xx
x
.
()
0035 460
165 200 460
200 200
16566
.
.
.
x
x
x
≥
– ≥
++
≥ 00
660
165
400
x
x
≥
≥
.
Kelly needs to sell at least 400 corn dogs in order for her daily profit to
be at least $460.
- Let x = number of snow cones sold per month
1.50x = revenue
600 + .25x = overhead costs + production costs = total cost
Revenue > Cost
> +
150 600 025
025025
1
. .
..
.
xx
- xx
225 600
600
125
480
x
x
x
>
>
>
.
The owner should sell more than 480 snow cones per month to make
a profit.