Reference no: EM133046092

Instruction: Write your answer in a separate paper. Take a picture and attach the file before turning in  the activity form. If you have more than 1 page answer copy paste the pictures in a document and save  it as PDF file. 

Problem 1. 

A company owns two refineries. Refinery 1 cost 1M per day to operate, and it can produce 400 barrels  of high-grade oil, 300 barrels of medium grade oil, and 200 barrels of low grade oils each day. Refinery 2  cost 1.25M per day to operate, and it can produce 300 barrels of high grade oil. 400 barrels of medium  grade oil, and 500 barrels of low grade oils each day. The company has orders totaling 25,000 barrels of  high grade oil, 27,000 barrels of medium grade oil, and 30,000 low grade oil. How many days should it  run each refinery to minimize its costs and still refine enough oil to meet its orders? 

Problem 2. 

The advertising company include television, radio, and newspaper advertisements. The costs and  estimates for audience coverage are  

	Television	Newspaper	Radio
Cost per advertisement	100,000	30,000	15,000
Audience per advertisement	5M	2M	900,000

The total newspaper limits the number of weekly advertisements from a single company to ten.  Moreover, in order to balance the advertising among the three types of media, no more than half of the  total number of advertisements should occur on the radio, and at least 10% should occur on television.  The weekly advertising budget is 910,000. How many advertisements should be run in each of the three  types of media to maximize the total audience?