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A clothing design company pays two different people to design its t shirts. The company pays person A $8 more an hour and pays person B $10. Person A cannot work more than 6 more hours than person B, but they cannot work more than 25 hours total. Person A makes the company a profit of $12 an hour, and person B makes the company a profit of $20 an hour. If the cost to the company wants to make at least $200 in profit, which value will minimize the cost to the company? (Each point is (a,b) where a is the hours person A works and b is the hours person B works.)

A clothing design company pays two different people to design its t shirts. The company-example-1

2 Answers

6 votes
Answer:

I am pretty sure that it is C

I hope you get it right!!
User Vidyanand
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3 votes

Answer:

C

Explanation:

Profit = revenue - costs, and we know the profit for B ($20) as well as the costs ($10). Since profit already accounts for cost, it does not make sense to include costs in our calculations as we want to maximize profit. As person A ($12) profits the company less than person B ($20), and person B working for 10 hours (20*10=200) makes the company $200 in profit without breaking any other rules, C is correct

User Kypk
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3.6k points