Algebra Demystified 2nd Ed

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.