--|Just Need Answers Correct|-- Please~
2.) Your furniture store sells two types of dining room tables. The first, type A, costs $265 and you make a $25 profit on each one. The second, type B, costs $100 and you make a $13 profit on each one. You can order no more than 40 tables this month, and you need to make at least $760 profit on them. If you must order at least one of each type of table, how many of each type of table should you order if you want to minimize your cost? my answer: 20 of type A; 20 of type B
Use a matrix to find the solution to the system of equations. -8x-8y=-16 6x-9y=-108 My answer: (6,8)
THERE IS ONLY THESE TWO PROBLEMS.
@SolomonZelman correct my answers?
@jim_thompson5910 Correct My Answers?
ok let me check
Alright. Thank you.
I started checking the second one since it's faster to check. You have the wrong answer. Here's how you check The given system is -8x-8y=-16 6x-9y=-108 and you make the claim that the solution is (6,8), which basically means x = 6 and y = 8 to check that claim, you replace x and y in the original equations and see if you get a true equation or not Let's focus on the first equation -8x-8y=-16 -8*6-8y=-16 ... replace x with 6 -8*6-8*8=-16 ... replace y with 8 -112 = -16 ... simplify the left side the last equation is false, so the first equation is false. That means (6,8) is NOT a solution
hopefully that makes sense?
Yes.
So then shoot...would the second one be (-6,8)?
Let's check -8x-8y=-16 -8*(-6)-8y=-16 ... replace x with -6 -8*(-6)-8*8=-16 ... replace y with 8 -16 = -16 ... simplify the left side so that works for the first equation, let's check the other equation now 6x-9y=-108 6*(-6)-9y=-108 ... replace x with -6 6*(-6)-9*8=-108 ... replace y with 8 -108=-108 ... simplify the left side that equation is true as well Since BOTH equations are true when (x,y) = (-6,8) this means that (-6,8) is indeed the solution and has been confirmed
Alright thank you.
Perhaps the first is: 30 of type A; and 10 of type B?
Still checking. I'm graphing at the moment
Okay.
you were right the first time when you said 20 of A and 20 of B hopefully you graphed the system of inequalities and found the vertex points?
Okay. Thank you and yes.
:))
no problem
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