Question

A landscaping company charges a flat rate per lawn. Their expenses include employee pay, gas, and a
$
200
equipment cost. Their original profit model is where
x
is the number of lawns:



50
x
−
(
30
x
+
200
)



Before opening, they increased their price by
$
10
per lawn. Employee pay, gas, and equipment expenses stayed the same.



What are the profit and total expenses if the company mows
100
lawns with the new pricing plan?



A.
The company will make
$
800
in profit and will have
$
200
in total expenses.

B.
The company will make
$
800
in profit and will have
$
5
,
000
in total expenses.

C.
The company will make
$
2
,
800
in profit and will have
$
200
in total expenses.

D.
The company will make
$
2
,
800
in profit and will have
$
3
,
200
in total expenses.

Answer 1

Original revenue per lawn was $50; after a $10 increase it's $60. Expenses remain 30x + 200.

For x = 100:
- Total expenses = 30(100) + 200 = 3000 + 200 = $3,200.
- Profit = 60(100) − 3,200 = 6,000 − 3,200 = $2,800.

Answer: D.