Answer:
a) 31c + 19m ≤ 706
b) 7500c + 4300m > 84000
Step-by-step explanation:
To build a car, we need 31 employees and $7500.
To build a motorcycle, we need 19 employees and $4300.
Let C denote the number of cars they build.
Let M denote the number of motorbikes they build.
Recall that ;
To build a career, we need 31 employees. To build "c" cars, we will need 31*c = 31c employees
To build a motorcycle, we need 19 employees. To build "m" motorcycle, we will need 19*m = 19m
Since the maximum number of employees used to build the car and motorcycle is at most 706, we have
31c + 19m ≤ 706
It takes $7500 to build car. To build "c" cars, we need 7500*c = $7500c
It also takes $4300 to build "m" motorcycles. We need 4300*m = $4300m
Since Genghis motors wont to spend more than $84000 on both cars and motorcycles, we have
7500c + 4300m > 84000
For the condition based on the number of employees, we have
31c + 19m ≤ 706
For the condition based on the number of dollars, we have
7500c + 4300m > 84000
