The Furniture Maker produces chairs and tables. The company will create furniture for 9 hours each day. Each chair takes a half hour to complete and each table takes one hour to complete. For each table that is created, four chairs must be produced and vice versa. Each chair will produce $75 profit and each table will produce $125 profit. What is the maximum profit that the company can make in one day?

$325

$500

$650

$850

Question

The Furniture Maker produces chairs and tables. The company will create furniture for 9 hours each day. Each chair takes a half hour to complete and each table takes one hour to complete. For each table that is created, four chairs must be produced and vice versa. Each chair will produce $75 profit and each table will produce $125 profit. What is the maximum profit that the company can make in one day?

		
$325

		
$500

		
$650

		
$850

dtan5457 · Answer

@DanJS 

@PaxPolaris 

@Zale101

dtan5457 · Answer

I would love to know how to solve this....can't seem to make the right system of equations..

paxpolaris · Answer

??? i'm getting 1275 .... weird question...

dtan5457 · Answer

"For each table that is created, four chairs must be produced and vice versa"

does that mean every chair is 4 tables??

WHAT???

paxpolaris · Answer

no i think it just trying to say: evaery table must have 4 chairs ... and  every 4 chairs must have 1 table.

it takes 3 hours to create 1 set of (1 table + 4 chairs)


each set gives you $425 profit


in 9 hours you can make 3 set so profit is $425*3 = $1275

paxpolaris · Answer

if it was just 8 hours .... then you didn't have enough time to make a 3rd complete set .... so profit is $425*2 = $850

dtan5457 · Answer

so basically the answer choices are incorrect?

dtan5457 · Answer

I see what you did though^

anonymous · Answer

Hmm .. Thank you both . (: @dtan5457  @PaxPolaris