Answer:
FCF = $1,995 million
Explanation:
DATA
EBIT(1-T) = $2,400 million
Net Capital Expenditure = $360 million
Net operating working capital (NOWC) = $45 million
Free cash flow (FCF) expected to generate over next year can be calculated as
FCF = EBIT(1-T) - Capital Expenditure - Net operating working capital (NOWC)
FCF = $2,400 million - $360 million - $45million
FCF = $1,995 million
7. A fast-food chain plans to expand by opening several new restaurants. The chain operates two types of
restaurants, drive-through and full-service. A drive-through restaurant costs RM 100.000 to construct,
requires 5 employees, and has an expected annual revenue of RM 200.000. A full service restaurant
costs RM 150.000 to construct, requires 15 employees, and has an expected annual revenue of RM
500,000. The chain has RM 2,400,000 in capital available for expansion. Labor contracts require that
they hire no more than 210 employees, and licensing restrictions require that they open no more than
20 new restaurants.
(a) How many restaurants of each type should the chain open in order to maximize the expected
revenue? [1 point)
≤
Explanation:
Drive through Full Service
Annual revenue 200,000 500,000
Cost 100,000 150,000
Income 100,000 350,000
Employee 5 15
Income / employee 20,000 23,333.33
Using simultaneous equation ,
Let X represent the drive through service ,and Y represent the full service restaurant
Budget = 100,000x + 150,000y ≤ 2,400,000 (equation 1)
Employer = 5x + 15y ≤ 210 (equation 2)
(Divide equation 1 by 10 ,000)
10x+ 15y ≤ 240 (equation 3)
Using elimination method, multiply equation 2 by -2
10x +15y ≤240
-10x - 30y ≤-420
-15y ≤ -180
y≤ -180/-15
y = 12
substitute y = 12 in equation 3
10x + 15y≤240
10x +180 ≤240
10x≤240-180
10x≤60
x≤6
12 1,800,000 180
6 600,000 30
6 drive through services and 12 full services should be opened.
6 Drive through 12 full service 20
Cost 600,000 1,800,000 2,400,000
Employees 30 180
Net income 600,000 4,200,000