An online retailer wants to determine the manpower needed per day for the coming
ID: 3011187 • Letter: A
Question
An online retailer wants to determine the manpower needed per day for the coming holiday season. It can use a combination of temporary and full-time workers. The salary for a temporary worker is $80 per day. A full-time worker's salary is $120 per day.
Because temporary workers are inexperienced, each of them can process 90 orders per hour. Each of the full-time workers can process 120 orders per day.
Due to a labor protection law, the company needs to make sure that at least 70% of the workers are full-time workers. The retailer also needs to make sure that at least 800 orders will be processed each day. The company cannot hire more than 10 workers because there are only 10 workstations available.
Let x be the number of full-time workers to hire.
Let y be the number of temporary workers to hire.
Use the following equations (A) - (J) to answer the following questions.
(i). Suppose that the objective is to minimize the staffing cost per day, what is the objective function? [ Select ] ["A", "B", "C", "D", "J"]
(ii). Suppose that the objective is to maximize the number of orders that can be processed per day, what is the objective function? [ Select ] ["A", "B", "C", "D", "J"]
(iii). Which constraint ensures that the "minimum 800 orders/day" is satisfied? [ Select ] ["E", "F", "G", "J"]
(iv). Which constraint ensures that the number of full-time workers accounts for at least 70% of the workforce? [ Select ] ["H", "I", "J"]
Explanation / Answer
From the given data we can observe
(i) answer is B
(ii) answer is A
(iii) answer is G
(iv) answer is H