Question

7. A fast-food chain plans to expand by opening several new restaurants. The chain operates two types of

Answer 1

≤

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