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Mathematics 57 Online
OpenStudy (bemoseemo):

Mr. Chen goes to the post office to buy small and large boxes. He needs at least 4 small boxes. Altogether, he will buy no more than 15 boxes. The post office has 10 small boxes and 9 large boxes in stock. Here is the graph of the feasible region, where x represents the number of small boxes and y represents the number of large boxes. Which ordered pairs meet all the constraints and make sense in context of the situation? Select each correct answer. (6, 9) (7, 8 3/4) (8,6) (9,8)

OpenStudy (bemoseemo):

I think a,b, and maybe d

OpenStudy (3mar):

May I help?

OpenStudy (bemoseemo):

Yes please

OpenStudy (3mar):

Thank you.

OpenStudy (bemoseemo):

Does d work in this context?

OpenStudy (3mar):

Is it allowed to choose multi ones?

OpenStudy (bemoseemo):

\[x \ge6\]

OpenStudy (bemoseemo):

yes its multiple choice

OpenStudy (3mar):

Ok. What did you pick?

OpenStudy (bemoseemo):

just realized d doesn't work

OpenStudy (bemoseemo):

so a and b probably?

OpenStudy (bemoseemo):

a and c*

OpenStudy (3mar):

Yes D does not work as y=8 is not in our regoin!

OpenStudy (3mar):

A works?

OpenStudy (bemoseemo):

a works because \[6\ge6\] and x+y\[x+y \le15\]

OpenStudy (bemoseemo):

oh wait b works too so that's my answer thank you

OpenStudy (bemoseemo):

other two make no sense in the context

OpenStudy (3mar):

B does not work. because 8 3/4 is not in the region!

OpenStudy (3mar):

y=8 3/4 *

OpenStudy (3mar):

am I right?

OpenStudy (3mar):

Conclusion: a. ok b. not c. ok d. not

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