#8) A construction company needs to hire workers. The workers can either be in a
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Question
#8)
A construction company needs to hire workers. The workers can either be in a union or not be in a union. A union worker earns $1000 a week and a non-union worker earns $800 a week (they are not paid by the hour). Union workers take more training and can do certain tasks faster, but non-union workers are sometimes more motived to work faster on other tasks. The number of tasks that each type of worker can complete per week is given, along with the minimum number of each task that needs to be completed per week. (It is OK to complete more than the minimum number of tasks.) Decide how many union workers and how many non-union workers should be hired to minimize salary costs but complete all tasks.
Completion rate (tasks per week)
Type of worker Pavement Structure Drywall Paint
Union 59 19 8 15
Non-union 11 114 19 12
Minimum tasks needed 140 180 40 60
#9)
A shirt company produces t-shirts with graphics of professional sports teams. A retail store wants to order exactly 100 shirts, with the following requests. The revenue, per shirt, for football is $20, baseball is $18, basketball is $17, and hockey is $12. How many of each shirt should be sold to the store to maximize revenue and meet the requests?
At most 20 should be football.
At most 25 should be baseball.
At most 50 should be basketball.
At most 30 should be hockey.
At least 10 should be football.
At least 20 should be baseball.
At least 15 should be basketball.
At least 25 should be hockey.
Explanation / Answer
he has to order
20 football with revenue 20*20=400
25 baseball with revenue 25*18= 450
30 basketball with revenue 30*17= 510
25 hockey with revenue 25*12 =300
so total revenue will be 400+450+510+300= 1660
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